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« Règle de Matthiessen » : différence entre les versions — Wikipédia

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[o]" accesskey="o" class=""><span>Se connecter</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Plus d’options" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Outils personnels" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Outils personnels</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Menu utilisateur" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&amp;utm_medium=sidebar&amp;utm_campaign=C13_fr.wikipedia.org&amp;uselang=fr"><span>Faire un don</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Sp%C3%A9cial:Cr%C3%A9er_un_compte&amp;returnto=R%C3%A8gle+de+Matthiessen&amp;returntoquery=diff%3Dprev%26oldid%3D160921804" title="Nous vous encourageons à créer un compte utilisateur et vous connecter ; ce n’est cependant pas obligatoire."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Créer un compte</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Sp%C3%A9cial:Connexion&amp;returnto=R%C3%A8gle+de+Matthiessen&amp;returntoquery=diff%3Dprev%26oldid%3D160921804" title="Nous vous encourageons à vous connecter ; ce n’est cependant pas obligatoire. 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Ajouter l’article pour d’autres langues." > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-0" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">Ajouter des langues</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> <div class="after-portlet after-portlet-lang"><span class="uls-after-portlet-link"></span><span class="wb-langlinks-add wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q97368578#sitelinks-wikipedia" title="Ajouter des liens interlangues" class="wbc-editpage">Ajouter des liens</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Espaces de noms"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/R%C3%A8gle_de_Matthiessen" title="Voir le contenu de la page [c]" accesskey="c"><span>Article</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Discussion:R%C3%A8gle_de_Matthiessen&amp;action=edit&amp;redlink=1" rel="discussion" class="new" title="Discussion au sujet de cette page de contenu (page inexistante) [t]" accesskey="t"><span>Discussion</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Modifier la variante de langue" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">français</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Affichages"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/R%C3%A8gle_de_Matthiessen"><span>Lire</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=R%C3%A8gle_de_Matthiessen&amp;oldid=160921804&amp;veaction=edit" title="Modifier cette page [v]" accesskey="v"><span>Modifier</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=R%C3%A8gle_de_Matthiessen&amp;action=edit&amp;oldid=160921804" title="Modifier le wikicode de cette page [e]" accesskey="e"><span>Modifier le code</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=R%C3%A8gle_de_Matthiessen&amp;action=history" title="Historique des versions de cette page [h]" accesskey="h"><span>Voir l’historique</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Outils de la page"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Outils" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Outils</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Outils</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">déplacer vers la barre latérale</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">masquer</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Plus d’options" > <div class="vector-menu-heading"> Actions </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/R%C3%A8gle_de_Matthiessen"><span>Lire</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=R%C3%A8gle_de_Matthiessen&amp;oldid=160921804&amp;veaction=edit" title="Modifier cette page [v]" accesskey="v"><span>Modifier</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=R%C3%A8gle_de_Matthiessen&amp;action=edit&amp;oldid=160921804" title="Modifier le wikicode de cette page [e]" accesskey="e"><span>Modifier le code</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=R%C3%A8gle_de_Matthiessen&amp;action=history"><span>Voir l’historique</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Général </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Sp%C3%A9cial:Pages_li%C3%A9es/R%C3%A8gle_de_Matthiessen" title="Liste des pages liées qui pointent sur celle-ci [j]" accesskey="j"><span>Pages liées</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Sp%C3%A9cial:Suivi_des_liens/R%C3%A8gle_de_Matthiessen" rel="nofollow" title="Liste des modifications récentes des pages appelées par celle-ci [k]" accesskey="k"><span>Suivi des pages liées</span></a></li><li id="t-upload" class="mw-list-item"><a href="/wiki/Aide:Importer_un_fichier" title="Téléverser des fichiers [u]" accesskey="u"><span>Téléverser un fichier</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Sp%C3%A9cial:Pages_sp%C3%A9ciales" title="Liste de toutes les pages spéciales [q]" accesskey="q"><span>Pages spéciales</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=R%C3%A8gle_de_Matthiessen&amp;oldid=160921804" title="Adresse permanente de cette version de cette page"><span>Lien permanent</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=R%C3%A8gle_de_Matthiessen&amp;action=info" title="Davantage d’informations sur cette page"><span>Informations sur la page</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Sp%C3%A9cial:Citer&amp;page=R%C3%A8gle_de_Matthiessen&amp;id=160921804&amp;wpFormIdentifier=titleform" title="Informations sur la manière de citer cette page"><span>Citer cette page</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Sp%C3%A9cial:UrlShortener&amp;url=https%3A%2F%2Ffr.wikipedia.org%2Fw%2Findex.php%3Ftitle%3DR%25C3%25A8gle_de_Matthiessen%26diff%3Dprev%26oldid%3D160921804"><span>Obtenir l'URL raccourcie</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Sp%C3%A9cial:QrCode&amp;url=https%3A%2F%2Ffr.wikipedia.org%2Fw%2Findex.php%3Ftitle%3DR%25C3%25A8gle_de_Matthiessen%26diff%3Dprev%26oldid%3D160921804"><span>Télécharger le code QR</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Imprimer / exporter </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Sp%C3%A9cial:Livre&amp;bookcmd=book_creator&amp;referer=R%C3%A8gle+de+Matthiessen"><span>Créer un livre</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=R%C3%A8gle_de_Matthiessen&amp;printable=yes" title="Version imprimable de cette page [p]" accesskey="p"><span>Version imprimable</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> Dans d’autres projets </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q97368578" title="Lien vers l’élément dans le dépôt de données connecté [g]" accesskey="g"><span>Élément Wikidata</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Outils de la page"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Apparence"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Apparence</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">déplacer vers la barre latérale</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">masquer</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> <div id="mw-indicator-mw-helplink" class="mw-indicator"><a href="https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Diff" target="_blank" class="mw-helplink"><span class="mw-helplink-icon"></span>Aide</a></div> </div> <div id="siteSub" class="noprint">Un article de Wikipédia, l&#039;encyclopédie libre.</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-revslider-container"><span style='width: 100%; text-align: center;' id='ooui-php-1' class='mw-revslider-toggle-button oo-ui-widget oo-ui-widget-enabled oo-ui-buttonElement oo-ui-buttonElement-frameless oo-ui-indicatorElement oo-ui-labelElement oo-ui-buttonWidget' data-ooui='{"_":"OO.ui.ButtonWidget","rel":["nofollow"],"framed":false,"indicator":"down","label":"Navigation interactive dans l\u2019historique","title":"Ouvrir la glissi\u00e8re des versions","classes":["mw-revslider-toggle-button"]}'><a role='button' title='Ouvrir la glissière des versions' tabindex='0' rel='nofollow' class='oo-ui-buttonElement-button'><span class='oo-ui-iconElement-icon oo-ui-iconElement-noIcon'></span><span class='oo-ui-labelElement-label'>Navigation interactive dans l’historique</span><span class='oo-ui-indicatorElement-indicator oo-ui-indicator-down'></span></a></span><div class="mw-revslider-slider-wrapper" style="display: none;"><div class="mw-revslider-placeholder"><div class="mw-revslider-spinner"><div class="mw-revslider-bounce"></div></div></div></div></div><div class="mw-diff-revision-history-links"><a href="/w/index.php?title=R%C3%A8gle_de_Matthiessen&amp;diff=next&amp;oldid=160921804" class="mw-diff-revision-history-link-next" title="Règle de Matthiessen">Modification suivante →</a></div><div class="mw-diff-table-prefix" dir="ltr" lang="fr"><div class="mw-diff-inline-legend oo-ui-element-hidden"><span class="mw-diff-inline-legend-del">Contenu supprimé</span> <span class="mw-diff-inline-legend-ins">Contenu ajouté</span></div><div class="ve-init-mw-diffPage-diffMode"><span class='oo-ui-widget oo-ui-widget-enabled oo-ui-buttonGroupWidget'><span aria-disabled='true' class='oo-ui-widget oo-ui-widget-disabled oo-ui-buttonElement oo-ui-buttonElement-framed oo-ui-iconElement oo-ui-labelElement oo-ui-buttonWidget'><a role='button' tabindex='-1' aria-disabled='true' rel='nofollow' class='oo-ui-buttonElement-button'><span class='oo-ui-iconElement-icon oo-ui-icon-eye oo-ui-image-invert'></span><span class='oo-ui-labelElement-label'>Visuel</span><span class='oo-ui-indicatorElement-indicator oo-ui-indicatorElement-noIndicator oo-ui-image-invert'></span></a></span><span class='oo-ui-widget oo-ui-widget-enabled oo-ui-buttonElement oo-ui-buttonElement-framed oo-ui-iconElement oo-ui-labelElement oo-ui-buttonWidget oo-ui-buttonElement-active'><a role='button' tabindex='0' rel='nofollow' class='oo-ui-buttonElement-button'><span class='oo-ui-iconElement-icon oo-ui-icon-wikiText oo-ui-image-invert'></span><span class='oo-ui-labelElement-label'>Wikicode</span><span class='oo-ui-indicatorElement-indicator oo-ui-indicatorElement-noIndicator oo-ui-image-invert'></span></a></span></span></div><div class="mw-diffPage-inlineToggle-container"><div id='mw-diffPage-inline-toggle-switch-layout' class='oo-ui-layout oo-ui-labelElement oo-ui-fieldLayout oo-ui-fieldLayout-align-left' data-ooui='{"_":"OO.ui.FieldLayout","fieldWidget":{"tag":"mw-diffPage-inline-toggle-switch"},"$overlay":true,"label":"Int\u00e9gr\u00e9s","title":"Permet de basculer entre le format en ligne et le format sur deux colonnes"}'><div class='oo-ui-fieldLayout-body'><span class='oo-ui-fieldLayout-header'><label title='Permet de basculer entre le format en ligne et le format sur deux colonnes' id='ooui-php-2' class='oo-ui-labelElement-label'>Intégrés</label></span><div class='oo-ui-fieldLayout-field'><div id='mw-diffPage-inline-toggle-switch' title='Permet de basculer entre le format en ligne et le format sur deux colonnes' aria-checked='false' tabindex='0' role='switch' aria-labelledby='ooui-php-2' class='oo-ui-widget oo-ui-widget-enabled oo-ui-toggleWidget oo-ui-toggleWidget-off oo-ui-toggleSwitchWidget' data-ooui='{"_":"OO.ui.ToggleSwitchWidget","href":"\/w\/index.php?title=R%C3%A8gle_de_Matthiessen&amp;diff=prev&amp;oldid=160921804&amp;diff-type=inline","value":false,"title":"Permet de 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data-timestamp="2019-07-15T09:55:27Z"></span></strong></div><div id="mw-diff-otitle2"><a href="/wiki/Utilisateur:Jojo_V" class="mw-userlink" title="Utilisateur:Jojo V" data-mw-revid="160921604"><bdi>Jojo V</bdi></a> <span class="mw-usertoollinks">(<a href="/wiki/Discussion_utilisateur:Jojo_V" class="mw-usertoollinks-talk" title="Discussion utilisateur:Jojo V">discuter</a> | <a href="/wiki/Sp%C3%A9cial:Contributions/Jojo_V" class="mw-usertoollinks-contribs" title="Spécial:Contributions/Jojo V">contributions</a>)</span><div class="mw-diff-usermetadata"><div class="mw-diff-userroles"></div><div class="mw-diff-usereditcount"><span>8&#160;566</span> modifications</div></div></div><div id="mw-diff-otitle3"> <span class="comment comment--without-parentheses">Nouvelle page : En <a href="/wiki/Physique_du_solide" title="Physique du solide">physique du solide</a> la &#039;&#039;&#039;règle de Matthiessen&#039;&#039;&#039; donne le temps caractéristique de relaxation des <a href="/wiki/Phonons" class="mw-redirect" title="Phonons">phonons</a> se propageant dans un cristal lorsqu&#039;il existe plusieurs ph…</span></div><div id="mw-diff-otitle5"></div><div id="mw-diff-otitle4"> </div></td> <td colspan="2" class="diff-ntitle diff-side-added"><div id="mw-diff-ntitle1"><strong><a href="/w/index.php?title=R%C3%A8gle_de_Matthiessen&amp;oldid=160921804" title="Règle de Matthiessen">Version du 15 juillet 2019 à 11:03</a> <span class="mw-diff-edit"><a href="/w/index.php?title=R%C3%A8gle_de_Matthiessen&amp;action=edit&amp;oldid=160921804" title="Règle de Matthiessen">modifier</a></span><span class="mw-diff-timestamp" data-timestamp="2019-07-15T10:03:45Z"></span> <span class="mw-diff-undo"><a href="/w/index.php?title=R%C3%A8gle_de_Matthiessen&amp;action=edit&amp;undoafter=160921604&amp;undo=160921804" title="« Annuler » rétablit la modification précédente et ouvre la fenêtre de modification en mode prévisualisation. Il est possible d’ajouter une raison dans le résumé.">annuler</a></span></strong></div><div id="mw-diff-ntitle2"><a href="/wiki/Utilisateur:Jojo_V" class="mw-userlink" title="Utilisateur:Jojo V" data-mw-revid="160921804"><bdi>Jojo V</bdi></a> <span class="mw-usertoollinks">(<a href="/wiki/Discussion_utilisateur:Jojo_V" class="mw-usertoollinks-talk" title="Discussion utilisateur:Jojo V">discuter</a> | <a href="/wiki/Sp%C3%A9cial:Contributions/Jojo_V" class="mw-usertoollinks-contribs" title="Spécial:Contributions/Jojo V">contributions</a>)</span><div class="mw-diff-usermetadata"><div class="mw-diff-userroles"></div><div class="mw-diff-usereditcount"><span>8&#160;566</span> modifications</div></div></div><div id="mw-diff-ntitle3"><abbr class="minoredit" title="Cette modification est mineure.">m</abbr><span class="comment mw-comment-none">Aucun résumé des modifications</span></div><div id="mw-diff-ntitle5"></div><div id="mw-diff-ntitle4"><a href="/w/index.php?title=R%C3%A8gle_de_Matthiessen&amp;diff=next&amp;oldid=160921804" title="Règle de Matthiessen" id="differences-nextlink">Modification suivante →</a></div></td> </tr><tr> <td colspan="2" class="diff-lineno">Ligne 7 :</td> <td colspan="2" class="diff-lineno">Ligne 7 :</td> </tr> <tr> <td class="diff-marker"></td> <td class="diff-context diff-side-deleted"><div>== Références ==</div></td> <td class="diff-marker"></td> <td class="diff-context diff-side-added"><div>== Références ==</div></td> </tr> <tr> <td class="diff-marker"></td> <td class="diff-context diff-side-deleted"><div>{{Références}}</div></td> <td class="diff-marker"></td> <td class="diff-context diff-side-added"><div>{{Références}}</div></td> </tr> <tr> <td class="diff-marker" data-marker="−"></td> <td class="diff-deletedline diff-side-deleted"><div>* </div></td> <td colspan="2" class="diff-empty diff-side-added"></td> </tr> <tr> <td class="diff-marker"></td> <td class="diff-context diff-side-deleted"><br /></td> <td class="diff-marker"></td> <td class="diff-context diff-side-added"><br /></td> </tr> <tr> <td class="diff-marker"></td> <td class="diff-context diff-side-deleted"><div>== Voir aussi ==</div></td> <td class="diff-marker"></td> <td class="diff-context diff-side-added"><div>== Voir aussi ==</div></td> </tr> </table><hr class='diff-hr' id='mw-oldid' /> <h2 class='diff-currentversion-title'>Version du 15 juillet 2019 à 11:03</h2> <div class="mw-content-ltr mw-parser-output" lang="fr" dir="ltr"><p>En <a href="/wiki/Physique_du_solide" title="Physique du solide">physique du solide</a> la <b>règle de Matthiessen</b> donne le temps caractéristique de relaxation des <a href="/wiki/Phonons" class="mw-redirect" title="Phonons">phonons</a> se propageant dans un cristal lorsqu'il existe plusieurs phénomènes se superposant. Elle a été établie par <a href="/wiki/Augustus_Matthiessen" title="Augustus Matthiessen">Augustus Matthiessen</a> en 1862<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite_crochet">[</span>1<span class="cite_crochet">]</span></a></sup>. </p><p>Cette règle s'exprime de la manière suivante<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite_crochet">[</span>2<span class="cite_crochet">]</span></a></sup>&#160;: lorsque plusieurs phénomènes se superposent le temps caractéristique de relaxation <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \tau }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03C4;<!-- τ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \tau }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/38a7dcde9730ef0853809fefc18d88771f95206c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.202ex; height:1.676ex;" alt="{\displaystyle \tau }"></span> est obtenu à partir des divers temps caractéristiques <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \tau _{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>&#x03C4;<!-- τ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \tau _{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/814ca8b33360ac3b7db8e9435271b5654175c853" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.816ex; height:2.009ex;" alt="{\displaystyle \tau _{i}}"></span> correspondants aux divers phénomènes de diffusion possibles (vibrations du réseau cristallin, imperfections, limites physiques du milieu) en applicant la règle suivante </p> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \tau ^{-1}=\sum _{i}\tau _{i}^{-1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>&#x03C4;<!-- τ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> <mo>=</mo> <munder> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </munder> <msubsup> <mi>&#x03C4;<!-- τ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msubsup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \tau ^{-1}=\sum _{i}\tau _{i}^{-1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2b9c4687381ba427e211068594088aa43510a8c4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:14.022ex; height:5.509ex;" alt="{\displaystyle \tau ^{-1}=\sum _{i}\tau _{i}^{-1}}"></span></dd></dl></dd></dl> <p>Cette règle exprime l'additivité des probabilités de transition d'un état à un autre dans un <a href="/wiki/Syst%C3%A8me_thermodynamique" title="Système thermodynamique">système thermodynamique</a> constitué de phonons lorsque les phénomènes qui en sont à l'origine sont indépendants. Elle n'est pas rigoureuse mais constitue dans la plupart des cas une approximation raisonnable<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite_crochet">[</span>3<span class="cite_crochet">]</span></a></sup>. </p> <div class="mw-heading mw-heading2"><h2 id="Références"><span id="R.C3.A9f.C3.A9rences"></span>Références</h2></div> <div class="references-small decimal" style=""><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink noprint"><a href="#cite_ref-1">↑</a> </span><span class="reference-text"><a href="/wiki/Augustus_Matthiessen" title="Augustus Matthiessen">Augustus Matthiessen</a>, Report of the British Association for the Advancement of Science, no.32, 1862, p.144</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink noprint"><a href="#cite_ref-2">↑</a> </span><span class="reference-text"><span class="ouvrage" id="Ziman1960"><span class="ouvrage" id="J._M._Ziman1960"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> <a href="/wiki/John_Ziman" title="John Ziman">J. M. Ziman</a>, <cite class="italique" lang="en">Electrons and Phonons</cite>, <a href="/wiki/Clarendon_Press" class="mw-redirect" title="Clarendon Press">Clarendon Press</a>, <time>1960</time><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Electrons+and+Phonons&amp;rft.pub=Clarendon+Press&amp;rft.aulast=Ziman&amp;rft.aufirst=J.+M.&amp;rft.date=1960&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AR%C3%A8gle+de+Matthiessen"></span></span></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink noprint"><a href="#cite_ref-3">↑</a> </span><span class="reference-text"><span class="ouvrage" id="Callaway1958"><span class="ouvrage" id="Joseph_Callaway1958"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> <a href="/wiki/Joseph_Callaway" title="Joseph Callaway">Joseph Callaway</a>, «&#160;<cite style="font-style:normal" lang="en">Model for Lattice Thermal Conductivity at Low Temperature</cite>&#160;», <i><span class="lang-en" lang="en"><a href="/wiki/Physical_Review" title="Physical Review">Physical Review</a></span></i>, <abbr class="abbr" title="volume">vol.</abbr>&#160;113, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr>&#160;4,&#8206; <time>1958</time><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=Model+for+Lattice+Thermal+Conductivity+at+Low+Temperature&amp;rft.jtitle=Physical+Review&amp;rft.issue=4&amp;rft.aulast=Callaway&amp;rft.aufirst=Joseph&amp;rft.date=1958&amp;rft.volume=113&amp;rfr_id=info%3Asid%2Ffr.wikipedia.org%3AR%C3%A8gle+de+Matthiessen"></span></span></span></span> </li> </ol></div> </div> <div class="mw-heading mw-heading2"><h2 id="Voir_aussi">Voir aussi</h2></div> <ul><li><a href="/wiki/%C3%89quation_de_Boltzmann-Peierls" title="Équation de Boltzmann-Peierls">Équation de Boltzmann-Peierls</a></li></ul> <ul id="bandeau-portail" class="bandeau-portail"><li><span class="bandeau-portail-element"><span class="bandeau-portail-icone"><span class="noviewer" typeof="mw:File"><a href="/wiki/Portail:Physique" title="Portail de la physique"><img alt="icône décorative" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/22/Circle-icons-physics-logo.svg/24px-Circle-icons-physics-logo.svg.png" decoding="async" width="24" height="24" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/22/Circle-icons-physics-logo.svg/36px-Circle-icons-physics-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/22/Circle-icons-physics-logo.svg/48px-Circle-icons-physics-logo.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span></span> <span class="bandeau-portail-texte"><a href="/wiki/Portail:Physique" title="Portail:Physique">Portail de la physique</a></span> </span></li> </ul></div><!--esi <esi:include src="/esitest-fa8a495983347898/content" /> --><noscript><img 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