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About: Mean free path
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class="row"> <div class="col"> <h1 id="title" class="display-6"><b>About:</b> <a href="http://dbpedia.org/resource/Mean_free_path">Mean free path</a> </h1> </div> </div> <div class="row"> <div class="col"> <div class="text-muted"> <span class="text-nowrap">An Entity of Type: <a href="http://dbpedia.org/ontology/Agent">agent</a>, </span> <span class="text-nowrap">from Named Graph: <a href="http://dbpedia.org">http://dbpedia.org</a>, </span> <span class="text-nowrap">within Data Space: <a href="http://dbpedia.org">dbpedia.org</a></span> </div> </div> </div> <div class="row pt-2"> <div class="col-xs-9 col-sm-10"> <p class="lead">In physics, mean free path is the average distance over which a moving particle (such as an atom, a molecule, or a photon) travels before substantially changing its direction or energy (or, in a specific context, other properties), typically as a result of one or more successive collisions with other particles.</p> </div> <div class="col-xs-3 col-sm-2"> <a href="#" class="thumbnail"> <img src="http://commons.wikimedia.org/wiki/Special:FilePath/Mean_free_path.png?width=300" alt="thumbnail" class="img-fluid" /> </a> </div> </div> </div> </section> <!-- page-header --> <!-- property-table --> <section> <div class="container-xl"> <div class="row"> <div class="table-responsive"> <table class="table table-hover table-sm table-light"> <thead> <tr> <th class="col-xs-3 ">Property</th> <th class="col-xs-9 px-3">Value</th> </tr> </thead> <tbody> <tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/abstract"><small>dbo:</small>abstract</a> </td><td class="col-10 text-break"><ul> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ar" >في الفيزياء، المسار الحر الوسطي هو القيمة الوسطية للمسار الذي يقطعه جسيم (ذرة، فوتون، إلكترون،...) بين تصادمين متتاليين. تتعلق قيمة هذا المسار الوسطي بأبعاد الجسيم وكثافة الوسط الذي تتحرك خلاله (عدد جسيماته في وحدة الحجم). على سبيل المثال، في حالة حزمة جسيمات متحركة بسرعة عالية تعطى علاقة المسار الوسطي الحر على الشكل : حيث n كثافة الجزيئات في وحدة الحجم وσ مقطع التصادم. في حال توزيع مكسويلي لسرعات الجسيمات، تكتب العلاقة على الشكل :</span><small> (ar)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ca" >Camí lliure mitjà, conegut com a recorregut lliure mitjà, (1 /u) o longitud de relaxació, és donat per la inversa del coeficient d'atenuació lineal o i és la distància mitjana en la qual viatja una partícula en un mitjà atenuant, abans que aquesta interaccioni. En mecànica estadística i teoria cinètica dels gasos, es defineix com camí lliure mitjà la distància o espai entre dues col·lisions successives de les molècules d'un gas.Recordem que en un gas, les seves molècules estan en constant moviment xocant les unes amb les altres. La temperatura d'aquest és funció de l'energia cinètica d'aquestes.</span><small> (ca)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="de" >Die mittlere freie Weglänge ist die Weglänge, die ein Teilchen (z. B. Atom, Molekül, Ion oder Elektron) in einem gegebenen Material im Durchschnitt zurücklegt, bevor es zum Stoß (irgendeiner Art) mit einem anderen Teilchen kommt. Hat ein Teilchenstrom in einem Material die mittlere freie Weglänge durchlaufen, so haben knapp 2/3 der Teilchen bereits einen Stoß ausgeführt, das übrige Drittel (genau ein Bruchteil 1/e) noch keinen.</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="eo" >Meza libera vojolongeco Oni parlas de de partiklo aŭ de gasaj molekuloj. La partiklo movas en gaso, sed ankaŭ la gasaj molekuloj movas. * La estas la meza longeco de vojo ke ia partiklo (ekzemple: atomo, molekulo, jono kaj elektrono) iras sen ("tuŝhi" alian partiklon aŭ) sen alterni kun aliaj partikloj.</span><small> (eo)</small></span></li> <li><span class="literal"><span property="dbo:abstract" lang="en" >In physics, mean free path is the average distance over which a moving particle (such as an atom, a molecule, or a photon) travels before substantially changing its direction or energy (or, in a specific context, other properties), typically as a result of one or more successive collisions with other particles.</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="es" >En mecánica estadística y teoría cinética de los gases, se define como camino libre medio a la distancia o espacio entre dos colisiones sucesivas de las moléculas de un gas.Recordemos que en un gas, sus moléculas están en constante movimiento chocando unas con otras. La temperatura del gas es función de la energía cinética de sus moléculas. El camino libre medio, también se conoce como recorrido libre medio, (1/u), o longitud de relajación, y viene dado por la inversa del coeficiente de atenuación lineal u y es la distancia promedio en la que viaja una partícula en un medio atenuante, antes que ésta interactúe. En 1857, Rudolf Clausius en una importante contribución al campo de la teoría cinética —en el que redefinió el modelo cinético de los gases de August Krönig — introdujo el concepto de recorrido libre medio de una partícula.</span><small> (es)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ga" >Is é is meánsaorchonair ann ná an meánfhad a thaistealaíonn adamh nó móilín roimh imbhualadh le ceann eile, de réir cineáil, 60 nm i ngáis. Úsáidtear an tsiombail l uirthi, agus tomhaistear i méadair (m) í. Tá an chainníocht seo tábhachtach i dtuiscint airíonna na ngás, in idirleathadh mar shampla, agus i bhfeiniméin cosúil le gluaiseacht cáithníní mar leictreoin is neodróin trí sholaid.</span><small> (ga)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="fr" >En physique, le libre parcours moyen est la distance moyenne parcourue par une particule se déplaçant (telle qu'un atome, une molécule, un photon) entre deux impacts successifs (collisions) modifiant sa direction, son énergie ou d'autres propriétés.</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ja" >平均自由行程(へいきんじゆうこうてい、英語: mean free path)または平均自由行路(へいきんじゆうこうろ)とは、物理学や化学のうち、気体分子運動論において、分子などの粒子が、散乱源(同じ粒子の場合もあれば、異なる粒子の場合もある)による散乱(衝突)で妨害されること無く進むことのできる距離(これを自由行程という)の平均値のことを言う。粒子が平均自由行程だけ運動すると、他の粒子と平均して1回衝突する。金属や半導体の伝導電子についても同様に定義される。 平均自由行程は、その系の特性や粒子により異なってくる。そのため、一般的な場合、ランダムな速度を持った粒子が、散乱源に衝突するまでの距離として、次の式で表記される。 ただし、は平均自由行程(単位m)で、n は散乱源の数密度(m-3)、σは散乱時の有効断面積(m2)である。粒子の速度がマクスウェル分布に従うと仮定される場合、平均自由行程は次式で表せる。</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ko" >평균자유행로, 또는 평균자유이동경로(mean free path)는 물리학에서 어떤 입자(원자, 분자, 광자 등)가 연속적으로 충돌하면서 이동하는 평균 거리이다. 평균자유행로는 그 계의 특성이나 입자에 따라 달라진다. 그래서 일반적인 경우 랜덤한 속도를 가진 입자가 고정되어 있는 산란원에 충돌하기까지의 거리로, 다음 식과 같이 표현된다. 여기서 은 평균자유행로(단위 m), 은 산란원의 밀도(단위 m−3), 는 산란될 때의 유효 단면적(m2)이다. 산란원을 포함한 모든 입자의 속도가 맥스웰 분포를 따른다고 가정될 경우, 평균자유행로는 다음과 같이 표현된다. 일반적으로 위 식은 아래의 과정을 통해서 유도된다. 우선 입자는 직경이 인 완전한 구형이라는 가정이 필요하다. 완전한 구형이 아닌 입자, 그 중에서도 특히 복잡한 분자의 경우 충돌하는 방향의 다양성으로 인해 평균자유행로를 구할 때 많은 변수가 생긴다. 나머지 입자들은 균일하게 분포된 상태로 고정되어 있고, 한 입자만 의 속력으로 움직이는 계 (물리학)를 생각했을 때, 이 공간에 밑면의 직경이 이고 높이는 입자가 초 동안 이동한 거리, 즉 와 같은 원기둥을 설정할 수 있다. 움직이는 입자가 원기둥 내의 고정된 입자, 즉 오른쪽 그림에서의 녹색 입자와 충돌하므로, 그 수를 알아야 하고, 이를 이라 했을 때 은 다음 식을 통해 구할 수 있다. 여기서 는 원기둥의 부피이고, 는 단위 부피당 입자 수이다. 는 주어진 조건을 통해 구할 수 있으므로 원기둥 내의 입자 수를 다시 표현하면 이 된다. 입자가 초 동안 이동할 수 있는 총 이동 거리 위에 개의 고정된 입자가 있으므로 은 초 동안 움직이는 입자가 고정된 입자와 충돌한 횟수와 같게 된다. 따라서 움직이는 입자가 다른 입자와 부딪힐 때까지 이동한 거리, 즉 평균자유행로 는 다음과 같이 표현된다. 가 산란 시 유효 단면적이므로, 라 하면 로 글의 처음에 언급했던 식과 동일한 식이 된다. 실제 계 내에서는 모든 입자가 운동하므로, 실제 계는 맥스웰-볼츠만 분포를 따르게 된다. 이 때 두 입자 간의 상대속도의 평균은 가 된다. 따라서 이 경우 입자의 평균자유행로 는 다음과 같이 유도되어 이 역시 글의 처음에 언급했던 식과 동일한 식이 된다. 요한 요제프 로슈미트의 경우 점성의 측정을 통해 평균자유행로를 구하기도 했다.</span><small> (ko)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="nl" >De vrije weglengte is in de kinetische gastheorie de gemiddelde afstand die een deeltje (molecuul) in een gas aflegt tussen twee botsingen in. De vrije weglengte van een willekeurig gasmolecuul wordt korter naarmate de druk in een gas toeneemt bij gelijkblijvende temperatuur. De vrije weglengte wordt langer met oplopende temperatuur bij gelijkblijvende druk. In formulevorm luidt de vrije weglengte λ als volgt: waarbij: k = boltzmannconstanteT = temperatuur (in kelvin)πσ² = theoretisch oppervlak waar het molecuul botsing kan ondervindenp = druk (in pascal) In een afgesloten ruimte (waar geen moleculen in of uit kunnen) is de vrije weglengte slechts afhankelijk van het aantal moleculen, hun afmetingen en de beschikbare ruimte, en dus onafhankelijk van druk en temperatuur. Druk en temperatuur zijn immers aan elkaar gekoppeld volgens de algemene gaswet. Met gebruikmaking van deze gaswet kan de vrije weglengte worden herschreven als waarbij V = volumen = aantal molNA= getal van Avogadro Kn = λ/D, met λ de vrije weglengte en D een karakteristieke afmeting van een vacuümopstelling.Als Kn > 1 dan is er geen sprake van een samenhangende stroming. De atomen botsen immers veel vaker met de wanden dan met de atomen onderling.Als Kn < 0,01 dan is er sprake van een continuüm-stroming. De stroming wordt dan hoofdzakelijk bepaald door atoom-atoom botsingen. Een aangenomen rekenwaarde voor een molecuuldiameter is 0,3 nm. Bij 0 graden Celsius (=273 K) en 1 atmosfeer (=100.000 Pa) leidt dit tot een gemiddelde vrije weglengte van circa 94 nm.</span><small> (nl)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="it" >In fisica, il cammino libero medio è la distanza media percorsa da una particella (ad esempio un atomo, una molecola o un fotone) fra due urti successivi. Questo parametro è descritto dalla formula generale , dove vm è la velocità media e Z la frequenza di collisione. L'interpretazione rigorosa è pertinenza della meccanica statistica. Spesso il cammino libero medio viene indicato con la lettera greca λ. Il cammino libero medio è un parametro di fondamentale importanza in ambiti quali la meccanica e dinamica dei fluidi, la cinetica chimica e l'elettronica a stato solido.</span><small> (it)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="pl" >Średnia droga swobodna – średnia droga, jaką przebywa cząstka (także atom lub cząsteczka) poruszająca się w ośrodku materialnym między kolejnymi zderzeniami z cząstkami tego ośrodka. Pojęcie to jest stosowane w bardzo wielu dziedzinach fizyki.</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="pt" >Em mecânica estatística e teoria cinética dos gases, percurso livre médio ou caminho livre médio é a distância média ou o espaço médio percorrido entre duas colisões sucessivas das moléculas de um gás. Essa teoria também é válida para fótons ou átomos. As moléculas de um gás estão em constante movimento, chocando-se umas com as outras, e a temperatura do gás é função da energia cinética dessas moléculas. Pode-se pensar na existência do caminho livre médio imaginando que um frasco de perfume é aberto de um lado de uma sala.A 300 kelvin, a raiz da velocidade quadrática média das moléculas de ar é de 432 metros por segundo. Entretanto, sabe-se que o perfume leva um tempo muito maior do que o tempo mínimo necessário para percorrer o comprimento da sala nessa velocidade (e em alguns casos nem chega ao outro lado). Isto ocorre porque há colisões aleatórias. Na figura ao lado, pode-se analisar a distância média entre as trocas de direções de uma partícula (ilustrada pelo movimento browniano).</span><small> (pt)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="sv" >Inom fysiken avser den fria medelväglängden eller medelfrivägen den genomsnittliga sträcka en partikel (till exempel molekyl, atom eller foton) färdas mellan kollisioner, vilka förändrar dess riktning, energi eller andra egenskaper.</span><small> (sv)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ru" >Длина свободного пробега молекулы — это среднее расстояние , которое пролетает частица за время между двумя последовательными столкновениями. Для каждой молекулы это расстояние различно, поэтому в кинетической теории газов под длиной свободного пробега обычно подразумевается средняя длина свободного пробега <>, которая является характеристикой всей совокупности молекул газа при заданных значениях давления и температуры.</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="zh" >气体分子的平均自由程(英語:mean free path)指气体分子两次碰撞之间的时间内经过的路程的统计平均值,一般用表示。例如,在20℃下、标准大气压(101 KPa)下,氮气分子的平均自由程约为60纳米。 理想气体分子两次碰撞之间做匀速直线运动,类似分子的平均碰撞频率,每两次碰撞之间的路程是由气体分子的自身状态决定的。气体分子的平均自由程与分子的直径或半径、分子数密度成反比。</span><small> (zh)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="uk" >Довжина́ ві́льного пробі́гу або середня довжина вільного пробігу — середня відстань, яку долає частинка за проміжок часу між зіткненнями з іншими частинками. Позначається зазвичай літерою l. Вимірюється в одиницях довжини. Довжина вільного пробігу є важливою характеристикою кінетичних процесів у газах, рідинах та твердих тілах. Вона специфічна для комбінації матеріалу та типу частинки. Для носіїв заряду в твердому тілі довжина вільного пробігу набагато перевищує період кристалічної ґратки, оскільки завдяки квантовому характеру свого руху носії заряду (електрони провідності та дірки) не розсіюються ідеальною ґраткою, а лише дефектами та іншими носіями.</span><small> (uk)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/thumbnail"><small>dbo:</small>thumbnail</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="dbo:thumbnail" resource="http://commons.wikimedia.org/wiki/Special:FilePath/Mean_free_path.png?width=300" href="http://commons.wikimedia.org/wiki/Special:FilePath/Mean_free_path.png?width=300"><small>wiki-commons</small>:Special:FilePath/Mean_free_path.png?width=300</a></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageExternalLink"><small>dbo:</small>wikiPageExternalLink</a> </td><td 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href="http://dbpedia.org/property/sign"><small>dbp:</small>sign</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><span property="dbp:sign" lang="en" >John Markus Blatt and Victor Weisskopf</span><small> (en)</small></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/source"><small>dbp:</small>source</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><span property="dbp:source" lang="en" >Theoretical nuclear physics</span><small> (en)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/text"><small>dbp:</small>text</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><span property="dbp:text" lang="en" >The effective mean free path of a nucleon in nuclear matter must be somewhat larger than the nuclear dimensions in order to allow the use of the independent particle model. This requirement seems to be in contradiction to the assumptions made in the theory ... We are facing here one of the fundamental problems of nuclear structure physics which has yet to be solved.</span><small> (en)</small></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/wikiPageUsesTemplate"><small>dbp:</small>wikiPageUsesTemplate</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Authority_control" href="http://dbpedia.org/resource/Template:Authority_control"><small>dbt</small>:Authority_control</a></span></li> <li><span class="literal"><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Math" href="http://dbpedia.org/resource/Template:Math"><small>dbt</small>:Math</a></span></li> <li><span class="literal"><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Mvar" 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Teilchen (z. B. Atom, Molekül, Ion oder Elektron) in einem gegebenen Material im Durchschnitt zurücklegt, bevor es zum Stoß (irgendeiner Art) mit einem anderen Teilchen kommt. Hat ein Teilchenstrom in einem Material die mittlere freie Weglänge durchlaufen, so haben knapp 2/3 der Teilchen bereits einen Stoß ausgeführt, das übrige Drittel (genau ein Bruchteil 1/e) noch keinen.</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="eo" >Meza libera vojolongeco Oni parlas de de partiklo aŭ de gasaj molekuloj. La partiklo movas en gaso, sed ankaŭ la gasaj molekuloj movas. * La estas la meza longeco de vojo ke ia partiklo (ekzemple: atomo, molekulo, jono kaj elektrono) iras sen ("tuŝhi" alian partiklon aŭ) sen alterni kun aliaj partikloj.</span><small> (eo)</small></span></li> <li><span class="literal"><span property="rdfs:comment" lang="en" >In physics, mean free path is the average distance over which a moving particle (such as an atom, a molecule, or a photon) travels before substantially changing its direction or energy (or, in a specific context, other properties), typically as a result of one or more successive collisions with other particles.</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ga" >Is é is meánsaorchonair ann ná an meánfhad a thaistealaíonn adamh nó móilín roimh imbhualadh le ceann eile, de réir cineáil, 60 nm i ngáis. Úsáidtear an tsiombail l uirthi, agus tomhaistear i méadair (m) í. Tá an chainníocht seo tábhachtach i dtuiscint airíonna na ngás, in idirleathadh mar shampla, agus i bhfeiniméin cosúil le gluaiseacht cáithníní mar leictreoin is neodróin trí sholaid.</span><small> (ga)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="fr" >En physique, le libre parcours moyen est la distance moyenne parcourue par une particule se déplaçant (telle qu'un atome, une molécule, un photon) entre deux impacts successifs (collisions) modifiant sa direction, son énergie ou d'autres propriétés.</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ja" >平均自由行程(へいきんじゆうこうてい、英語: mean free path)または平均自由行路(へいきんじゆうこうろ)とは、物理学や化学のうち、気体分子運動論において、分子などの粒子が、散乱源(同じ粒子の場合もあれば、異なる粒子の場合もある)による散乱(衝突)で妨害されること無く進むことのできる距離(これを自由行程という)の平均値のことを言う。粒子が平均自由行程だけ運動すると、他の粒子と平均して1回衝突する。金属や半導体の伝導電子についても同様に定義される。 平均自由行程は、その系の特性や粒子により異なってくる。そのため、一般的な場合、ランダムな速度を持った粒子が、散乱源に衝突するまでの距離として、次の式で表記される。 ただし、は平均自由行程(単位m)で、n は散乱源の数密度(m-3)、σは散乱時の有効断面積(m2)である。粒子の速度がマクスウェル分布に従うと仮定される場合、平均自由行程は次式で表せる。</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="it" >In fisica, il cammino libero medio è la distanza media percorsa da una particella (ad esempio un atomo, una molecola o un fotone) fra due urti successivi. Questo parametro è descritto dalla formula generale , dove vm è la velocità media e Z la frequenza di collisione. L'interpretazione rigorosa è pertinenza della meccanica statistica. Spesso il cammino libero medio viene indicato con la lettera greca λ. Il cammino libero medio è un parametro di fondamentale importanza in ambiti quali la meccanica e dinamica dei fluidi, la cinetica chimica e l'elettronica a stato solido.</span><small> (it)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="pl" >Średnia droga swobodna – średnia droga, jaką przebywa cząstka (także atom lub cząsteczka) poruszająca się w ośrodku materialnym między kolejnymi zderzeniami z cząstkami tego ośrodka. Pojęcie to jest stosowane w bardzo wielu dziedzinach fizyki.</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="sv" >Inom fysiken avser den fria medelväglängden eller medelfrivägen den genomsnittliga sträcka en partikel (till exempel molekyl, atom eller foton) färdas mellan kollisioner, vilka förändrar dess riktning, energi eller andra egenskaper.</span><small> (sv)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ru" >Длина свободного пробега молекулы — это среднее расстояние , которое пролетает частица за время между двумя последовательными столкновениями. Для каждой молекулы это расстояние различно, поэтому в кинетической теории газов под длиной свободного пробега обычно подразумевается средняя длина свободного пробега <>, которая является характеристикой всей совокупности молекул газа при заданных значениях давления и температуры.</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="zh" >气体分子的平均自由程(英語:mean free path)指气体分子两次碰撞之间的时间内经过的路程的统计平均值,一般用表示。例如,在20℃下、标准大气压(101 KPa)下,氮气分子的平均自由程约为60纳米。 理想气体分子两次碰撞之间做匀速直线运动,类似分子的平均碰撞频率,每两次碰撞之间的路程是由气体分子的自身状态决定的。气体分子的平均自由程与分子的直径或半径、分子数密度成反比。</span><small> (zh)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ca" >Camí lliure mitjà, conegut com a recorregut lliure mitjà, (1 /u) o longitud de relaxació, és donat per la inversa del coeficient d'atenuació lineal o i és la distància mitjana en la qual viatja una partícula en un mitjà atenuant, abans que aquesta interaccioni.</span><small> (ca)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="es" >En mecánica estadística y teoría cinética de los gases, se define como camino libre medio a la distancia o espacio entre dos colisiones sucesivas de las moléculas de un gas.Recordemos que en un gas, sus moléculas están en constante movimiento chocando unas con otras. La temperatura del gas es función de la energía cinética de sus moléculas. En 1857, Rudolf Clausius en una importante contribución al campo de la teoría cinética —en el que redefinió el modelo cinético de los gases de August Krönig — introdujo el concepto de recorrido libre medio de una partícula.</span><small> (es)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ko" >평균자유행로, 또는 평균자유이동경로(mean free path)는 물리학에서 어떤 입자(원자, 분자, 광자 등)가 연속적으로 충돌하면서 이동하는 평균 거리이다. 평균자유행로는 그 계의 특성이나 입자에 따라 달라진다. 그래서 일반적인 경우 랜덤한 속도를 가진 입자가 고정되어 있는 산란원에 충돌하기까지의 거리로, 다음 식과 같이 표현된다. 여기서 은 평균자유행로(단위 m), 은 산란원의 밀도(단위 m−3), 는 산란될 때의 유효 단면적(m2)이다. 산란원을 포함한 모든 입자의 속도가 맥스웰 분포를 따른다고 가정될 경우, 평균자유행로는 다음과 같이 표현된다. 일반적으로 위 식은 아래의 과정을 통해서 유도된다. 우선 입자는 직경이 인 완전한 구형이라는 가정이 필요하다. 완전한 구형이 아닌 입자, 그 중에서도 특히 복잡한 분자의 경우 충돌하는 방향의 다양성으로 인해 평균자유행로를 구할 때 많은 변수가 생긴다. 나머지 입자들은 균일하게 분포된 상태로 고정되어 있고, 한 입자만 의 속력으로 움직이는 계 (물리학)를 생각했을 때, 이 공간에 밑면의 직경이 이고 높이는 입자가 초 동안 이동한 거리, 즉 와 같은 원기둥을 설정할 수 있다. 이 된다.</span><small> (ko)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="nl" >De vrije weglengte is in de kinetische gastheorie de gemiddelde afstand die een deeltje (molecuul) in een gas aflegt tussen twee botsingen in. De vrije weglengte van een willekeurig gasmolecuul wordt korter naarmate de druk in een gas toeneemt bij gelijkblijvende temperatuur. De vrije weglengte wordt langer met oplopende temperatuur bij gelijkblijvende druk. In formulevorm luidt de vrije weglengte λ als volgt: waarbij: k = boltzmannconstanteT = temperatuur (in kelvin)πσ² = theoretisch oppervlak waar het molecuul botsing kan ondervindenp = druk (in pascal) waarbij</span><small> (nl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="pt" >Em mecânica estatística e teoria cinética dos gases, percurso livre médio ou caminho livre médio é a distância média ou o espaço médio percorrido entre duas colisões sucessivas das moléculas de um gás. Essa teoria também é válida para fótons ou átomos. As moléculas de um gás estão em constante movimento, chocando-se umas com as outras, e a temperatura do gás é função da energia cinética dessas moléculas.</span><small> (pt)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="uk" >Довжина́ ві́льного пробі́гу або середня довжина вільного пробігу — середня відстань, яку долає частинка за проміжок часу між зіткненнями з іншими частинками. Позначається зазвичай літерою l. Вимірюється в одиницях довжини. Довжина вільного пробігу є важливою характеристикою кінетичних процесів у газах, рідинах та твердих тілах. Вона специфічна для комбінації матеріалу та типу частинки.</span><small> (uk)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#label"><small>rdfs:</small>label</a> </td><td class="col-10 text-break"><ul> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ar" >مسار حر وسطي</span><small> (ar)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ca" >Recorregut lliure mitjà</span><small> (ca)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="de" >Mittlere freie Weglänge</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="eo" >Meza libera vojolongeco</span><small> (eo)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="es" >Camino libre medio</span><small> (es)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ga" >Meánsaorchonair</span><small> (ga)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="fr" >Libre parcours moyen</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="it" >Cammino libero medio</span><small> (it)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ja" >平均自由行程</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ko" >평균자유행로</span><small> (ko)</small></span></li> <li><span class="literal"><span property="rdfs:label" lang="en" >Mean free path</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="nl" >Vrije weglengte</span><small> (nl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="pl" >Średnia droga swobodna</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="pt" >Percurso livre médio</span><small> (pt)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ru" >Длина свободного пробега</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="sv" >Fria medelväglängden</span><small> (sv)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="zh" >平均自由程</span><small> (zh)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="uk" >Довжина вільного пробігу</span><small> (uk)</small></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#seeAlso"><small>rdfs:</small>seeAlso</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="rdfs:seeAlso" resource="http://dbpedia.org/resource/Ballistic_conduction" href="http://dbpedia.org/resource/Ballistic_conduction"><small>dbr</small>:Ballistic_conduction</a></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/2002/07/owl#sameAs"><small>owl:</small>sameAs</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://rdf.freebase.com/ns/m.016t4p" href="http://rdf.freebase.com/ns/m.016t4p"><small>freebase</small>:Mean free path</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://yago-knowledge.org/resource/Mean_free_path" href="http://yago-knowledge.org/resource/Mean_free_path"><small>yago-res</small>:Mean free path</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://d-nb.info/gnd/4170260-8" href="http://d-nb.info/gnd/4170260-8">http://d-nb.info/gnd/4170260-8</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://www.wikidata.org/entity/Q756307" href="http://www.wikidata.org/entity/Q756307"><small>wikidata</small>:Mean free path</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://ar.dbpedia.org/resource/مسار_حر_وسطي" href="http://ar.dbpedia.org/resource/مسار_حر_وسطي"><small>dbpedia-ar</small>:Mean free path</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://ca.dbpedia.org/resource/Recorregut_lliure_mitjà" href="http://ca.dbpedia.org/resource/Recorregut_lliure_mitjà"><small>dbpedia-ca</small>:Mean free path</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://de.dbpedia.org/resource/Mittlere_freie_Weglänge" href="http://de.dbpedia.org/resource/Mittlere_freie_Weglänge"><small>dbpedia-de</small>:Mean free path</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://eo.dbpedia.org/resource/Meza_libera_vojolongeco" href="http://eo.dbpedia.org/resource/Meza_libera_vojolongeco"><small>dbpedia-eo</small>:Mean free path</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://es.dbpedia.org/resource/Camino_libre_medio" href="http://es.dbpedia.org/resource/Camino_libre_medio"><small>dbpedia-es</small>:Mean free path</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://fa.dbpedia.org/resource/مسیر_آزاد_متوسط" href="http://fa.dbpedia.org/resource/مسیر_آزاد_متوسط"><small>dbpedia-fa</small>:Mean free path</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://fr.dbpedia.org/resource/Libre_parcours_moyen" href="http://fr.dbpedia.org/resource/Libre_parcours_moyen"><small>dbpedia-fr</small>:Mean free path</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://ga.dbpedia.org/resource/Meánsaorchonair" href="http://ga.dbpedia.org/resource/Meánsaorchonair"><small>dbpedia-ga</small>:Mean free path</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://he.dbpedia.org/resource/מהלך_חופשי_ממוצע" href="http://he.dbpedia.org/resource/מהלך_חופשי_ממוצע"><small>dbpedia-he</small>:Mean free path</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://hi.dbpedia.org/resource/माध्य_मुक्त_पथ" href="http://hi.dbpedia.org/resource/माध्य_मुक्त_पथ">http://hi.dbpedia.org/resource/माध्य_मुक्त_पथ</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://hr.dbpedia.org/resource/Slobodni_put" href="http://hr.dbpedia.org/resource/Slobodni_put"><small>dbpedia-hr</small>:Mean free path</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://hu.dbpedia.org/resource/Közepes_szabad_úthossz" href="http://hu.dbpedia.org/resource/Közepes_szabad_úthossz"><small>dbpedia-hu</small>:Mean free path</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://hy.dbpedia.org/resource/Ազատ_վազքի_երկարություն" href="http://hy.dbpedia.org/resource/Ազատ_վազքի_երկարություն">http://hy.dbpedia.org/resource/Ազատ_վազքի_երկարություն</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://it.dbpedia.org/resource/Cammino_libero_medio" href="http://it.dbpedia.org/resource/Cammino_libero_medio"><small>dbpedia-it</small>:Mean free path</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://ja.dbpedia.org/resource/平均自由行程" href="http://ja.dbpedia.org/resource/平均自由行程"><small>dbpedia-ja</small>:Mean free path</a></span></li> <li><span class="literal"><a 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