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The capability for deductive reasoning is illustrated by deriving the law of phase change transition of water (Clausius-Clapeyron) from scratch by maximizing entropy in a formal probabilistic frame. However, such deductive reasoning cannot work in more complex hydrological systems with diverse elements, yet the entropy maximization framework can help in inductive inference, necessarily based on data. Several examples of this type are provided in an attempt to link statistical thermophysics with hydrology with a unifying view of entropy.","publication_date":"2014,,","publication_name":"Entropy","grobid_abstract_attachment_id":"47057741"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Entropy: From Thermodynamics to Hydrology","broadcastable":true,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [26417811]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "full_page_mobile_sutd_modal"; window.loswp.useOptimizedScribd4genScript = false; window.loswp.appleClientId = 'edu.academia.applesignon';</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="ds-loswp-container"><div class="ds-work-card--grid-container"><div class="ds-work-card--container js-loswp-work-card"><div class="ds-work-card--cover"><div class="ds-work-cover--wrapper"><div class="ds-work-cover--container"><button class="ds-work-cover--clickable js-swp-download-button" data-signup-modal="{"location":"swp-splash-paper-cover","attachmentId":47057741,"attachmentType":"pdf"}"><img alt="First page of “Entropy: From Thermodynamics to Hydrology”" class="ds-work-cover--cover-thumbnail" src="https://0.academia-photos.com/attachment_thumbnails/47057741/mini_magick20190207-1851-1e4yy25.png?1549606650" /><img alt="PDF Icon" class="ds-work-cover--file-icon" src="//a.academia-assets.com/assets/single_work_splash/adobe.icon-574afd46eb6b03a77a153a647fb47e30546f9215c0ee6a25df597a779717f9ef.svg" /><div class="ds-work-cover--hover-container"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span><p>Download Free PDF</p></div><div class="ds-work-cover--ribbon-container">Download Free PDF</div><div class="ds-work-cover--ribbon-triangle"></div></button></div></div></div><div class="ds-work-card--work-information"><h1 class="ds-work-card--work-title">Entropy: From Thermodynamics to Hydrology</h1><div class="ds-work-card--work-authors ds-work-card--detail"><a class="ds-work-card--author js-wsj-grid-card-author ds2-5-body-md ds2-5-body-link" data-author-id="26417811" href="https://ntua.academia.edu/DemetrisKoutsoyiannis"><img alt="Profile image of Demetris Koutsoyiannis" class="ds-work-card--author-avatar" src="https://0.academia-photos.com/26417811/7322556/8235447/s65_demetris.koutsoyiannis.jpg" />Demetris Koutsoyiannis</a></div><div class="ds-work-card--detail"><p class="ds-work-card--detail ds2-5-body-sm">2014, Entropy</p><div class="ds-work-card--work-metadata"><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">visibility</span><p class="ds2-5-body-sm" id="work-metadata-view-count">…</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">description</span><p class="ds2-5-body-sm">28 pages</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">link</span><p class="ds2-5-body-sm">1 file</p></div></div><script>(async () => { const workId = 10878064; 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Beisbart and S. Hartmann (eds), Probabilities in Physics. Oxford University Press, 115-142., 2011</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Entropy: a guide for the perplexed","attachmentId":33040992,"attachmentType":"pdf","work_url":"https://www.academia.edu/6147414/Entropy_a_guide_for_the_perplexed","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/6147414/Entropy_a_guide_for_the_perplexed"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="1" data-entity-id="19788130" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/19788130/Entropy_An_ill_conceived_mathematical_contrivance">Entropy: An ill-conceived mathematical contrivance?</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="12804164" href="https://independent.academia.edu/kentmayhew">Kent W Mayhew</a></div><p class="ds-related-work--abstract ds2-5-body-sm">Entropy remains part of so many thermodynamics relations, yet its true identity lacks clarity. We shall show that entropy may be nothing more than a mathematical contrivance, one that is illogically used to explain too many phenomena. In so doing, we shall question many traditional thermodynamic conceptualizations, as well as provide a unique understanding as to how Boltzmann’s constant relates to a system’s ability to do work.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Entropy: An ill-conceived mathematical contrivance?","attachmentId":40845391,"attachmentType":"pdf","work_url":"https://www.academia.edu/19788130/Entropy_An_ill_conceived_mathematical_contrivance","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/19788130/Entropy_An_ill_conceived_mathematical_contrivance"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="2" data-entity-id="33244630" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/33244630/The_Elusive_Nature_of_Entropy_and_Its_Physical_Meaning">The Elusive Nature of Entropy and Its Physical Meaning</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="64888473" href="https://independent.academia.edu/JosePuche4">Jose Puche</a></div><p class="ds-related-work--abstract ds2-5-body-sm">Entropy is the most used and often abused concept in science, but also in philosophy and society. Further confusions are produced by some attempts to generalize entropy with similar but not the same concepts in other disciplines. The physical meaning of phenomenological, thermodynamic entropy is reasoned and elaborated by generalizing Clausius definition with inclusion of generated heat, since it is irrelevant if entropy is changed due to reversible heat transfer or irreversible heat generation. Irreversible, caloric heat transfer is introduced as complementing reversible heat transfer. It is also reasoned and thus proven why entropy cannot be destroyed but is always generated (and thus overall increased) locally and globally, at every space and time scales, without any exception. It is concluded that entropy is a thermal displacement (dynamic thermal-volume) of thermal energy due to absolute temperature as a thermal potential (dQ = TdS), and thus associated with thermal heat and absolute temperature, i.e., distribution of thermal energy within thermal micro-particles in space. Entropy is an integral measure of (random) thermal energy redistribution (due to heat transfer and/or irreversible heat generation) within a material system structure in space, per absolute temperature level: dS = dQ Sys /T = mC Sys dT/T, thus logarithmic integral function, with J/K unit. It may be also expressed as a measure of " thermal disorder " , being related to logarithm of number of all thermal, dynamic microstates W (their position and momenta), S = k B lnW, or to the sum of their logarithmic probabilities S = −k B ∑p i lnp i , that correspond to, or are consistent with the given thermodynamic macro-state. The number of thermal microstates W, is correlated with macro-properties temperature T and volume V for ideal gases. A system form and/or functional order or disorder are not (thermal) energy order/disorder and the former is not related to Thermodynamic entropy. Expanding entropy to any type of disorder or information is a source of many misconceptions. Granted, there are certain benefits of simplified statistical descriptions to better comprehend the randomness of thermal motion OPEN ACCESS Entropy 2014, 16 954 and related physical quantities, but the limitations should be stated so the generalizations are not overstretched and the real physics overlooked, or worse discredited.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"The Elusive Nature of Entropy and Its Physical Meaning","attachmentId":53317188,"attachmentType":"pdf","work_url":"https://www.academia.edu/33244630/The_Elusive_Nature_of_Entropy_and_Its_Physical_Meaning","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/33244630/The_Elusive_Nature_of_Entropy_and_Its_Physical_Meaning"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="3" data-entity-id="120959526" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/120959526/Entropy_From_Thermodynamics_to_Information_Processing">Entropy: From Thermodynamics to Information Processing</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="127866484" href="https://independent.academia.edu/Ivonete%C3%81vila">Ivonete Ávila</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Entropy, 2021</p><p class="ds-related-work--abstract ds2-5-body-sm">Entropy is a concept that emerged in the 19th century. It used to be associated with heat harnessed by a thermal machine to perform work during the Industrial Revolution. However, there was an unprecedented scientific revolution in the 20th century due to one of its most essential innovations, i.e., the information theory, which also encompasses the concept of entropy. Therefore, the following question is naturally raised: “what is the difference, if any, between concepts of entropy in each field of knowledge?” There are misconceptions, as there have been multiple attempts to conciliate the entropy of thermodynamics with that of information theory. Entropy is most commonly defined as “disorder”, although it is not a good analogy since “order” is a subjective human concept, and “disorder” cannot always be obtained from entropy. Therefore, this paper presents a historical background on the evolution of the term “entropy”, and provides mathematical evidence and logical arguments regard...</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Entropy: From Thermodynamics to Information Processing","attachmentId":115951217,"attachmentType":"pdf","work_url":"https://www.academia.edu/120959526/Entropy_From_Thermodynamics_to_Information_Processing","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/120959526/Entropy_From_Thermodynamics_to_Information_Processing"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="4" data-entity-id="2425178" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/2425178/Entropy_A_concept_that_is_not_a_physical_quantity">Entropy:A concept that is not a physical quantity</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="3148895" href="https://independent.academia.edu/shufengzhang">shufeng zhang</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physics Essays, 2012</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Entropy:A concept that is not a physical quantity","attachmentId":54827963,"attachmentType":"pdf","work_url":"https://www.academia.edu/2425178/Entropy_A_concept_that_is_not_a_physical_quantity","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/2425178/Entropy_A_concept_that_is_not_a_physical_quantity"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="5" data-entity-id="30997424" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/30997424/Entropy_Its_Language_and_Interpretation">Entropy, Its Language, and Interpretation</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="59067893" href="https://independent.academia.edu/LeffHarvey">Harvey Leff</a></div><p class="ds-related-work--abstract ds2-5-body-sm">The language of entropy is examined for consistency with its mathematics and physics, and for its efficacy as a guide to what entropy means. Do common de-scriptors such as disorder, missing information, and multiplicity help or hinder under-standing? Can the language of entropy be helpful in cases where entropy is not well defined? We argue in favor of the descriptor spreading, which entails space, time, and energy in a fundamental way. This includes spreading of energy spatially during processes and temporal spreading over accessible microstates states in thermody-namic equilibrium. Various examples illustrate the value of the spreading metaphor. To provide further support for this metaphor's utility, it is shown how a set of reasonable spreading properties can be used to derive the entropy function. A main conclusion is that it is appropriate to view entropy's symbol S as shorthand for spreading.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Entropy, Its Language, and Interpretation","attachmentId":51430405,"attachmentType":"pdf","work_url":"https://www.academia.edu/30997424/Entropy_Its_Language_and_Interpretation","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/30997424/Entropy_Its_Language_and_Interpretation"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="6" data-entity-id="114989970" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/114989970/Entropy_and_its_mathematical_properties_consequences_for_thermodynamics">Entropy and its mathematical properties: consequences for thermodynamics</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="285749386" href="https://independent.academia.edu/CaioCesar443">Caio Cesar</a></div><p class="ds-related-work--metadata ds2-5-body-xs">ChemTexts, 2015</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Entropy and its mathematical properties: consequences for thermodynamics","attachmentId":111529728,"attachmentType":"pdf","work_url":"https://www.academia.edu/114989970/Entropy_and_its_mathematical_properties_consequences_for_thermodynamics","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/114989970/Entropy_and_its_mathematical_properties_consequences_for_thermodynamics"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="7" data-entity-id="53330541" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/53330541/The_meanings_of_entropy">The meanings of entropy</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="109415171" href="https://independent.academia.edu/jeanbernardbrissaud">jean-bernard brissaud</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Entropy, 2005</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"The meanings of entropy","attachmentId":70223995,"attachmentType":"pdf","work_url":"https://www.academia.edu/53330541/The_meanings_of_entropy","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/53330541/The_meanings_of_entropy"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="8" data-entity-id="104429738" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/104429738/The_Physical_Meaning_of_Entropy">The Physical Meaning of Entropy</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="59904850" href="https://independent.academia.edu/antonio_leon">Antonio Leon</a></div><p class="ds-related-work--metadata ds2-5-body-xs">The Physical Meaning of Entropy, 2023</p><p class="ds-related-work--abstract ds2-5-body-sm">I propose here a new physical interpretation of entropy based on the concept of isotropy that results compatible with both Clausius and Boltzmann interpretations. I also introduce a basic principle of physics that, although implicitly assumed, has never been explicitly declared as such a principle: the Principle of Identicality (all elementary particles of the same type are identical). Both, the new principle and the new interpretation of entropy as isotropy make it possible to deduce in formal terms three laws on the evolution of entropy that are equivalent to the Second and the Third Law of Thermodynamics. All the oddities and mysteries of the enigmatic concept of entropy and of its fundamental laws disappear when examined from this new perspective: Identicality and random evolution formally imply isotropy, and then entropy.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"The Physical Meaning of Entropy","attachmentId":107054869,"attachmentType":"pdf","work_url":"https://www.academia.edu/104429738/The_Physical_Meaning_of_Entropy","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/104429738/The_Physical_Meaning_of_Entropy"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="9" data-entity-id="63043583" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/63043583/The_Nature_of_Thermodynamic_Entropy">The Nature of Thermodynamic Entropy</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="131460571" href="https://independent.academia.edu/JamesPutnam1">James A Putnam</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2011</p><p class="ds-related-work--abstract ds2-5-body-sm">Thermodynamic entropy is a pathway for transitioning from the mechanical world of fundamental physics theory to the world of probabilities, statistics, microstates, and information theory as applied to analyses of the universe. This paper proposes to explain the physical meaning of thermodynamic entropy, and, its connection to Boltzmann’s entropy. The inclusion of Boltzmann’s constant in his definition of entropy establishes the connection. The physical basis of Boltzmann’s constant and his entropy are explained. These explanations first require new analyses of fundamental properties such as force and mass.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"The Nature of Thermodynamic Entropy","attachmentId":75602824,"attachmentType":"pdf","work_url":"https://www.academia.edu/63043583/The_Nature_of_Thermodynamic_Entropy","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/63043583/The_Nature_of_Thermodynamic_Entropy"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div></div></div><div class="ds-sticky-ctas--wrapper js-loswp-sticky-ctas hidden"><div class="ds-sticky-ctas--grid-container"><div class="ds-sticky-ctas--container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--sticky-ctas","attachmentId":47057741,"attachmentType":"pdf","workUrl":null}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--sticky-ctas","attachmentId":47057741,"attachmentType":"pdf","workUrl":null}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div><div class="ds-below-fold--grid-container"><div class="ds-work--container js-loswp-embedded-document"><div class="attachment_preview" data-attachment="Attachment_47057741" style="display: none"><div class="js-scribd-document-container"><div class="scribd--document-loading js-scribd-document-loader" style="display: block;"><img alt="Loading..." src="//a.academia-assets.com/images/loaders/paper-load.gif" /><p>Loading Preview</p></div></div><div style="text-align: center;"><div class="scribd--no-preview-alert js-preview-unavailable"><p>Sorry, preview is currently unavailable. You can download the paper by clicking the button above.</p></div></div></div></div><div class="ds-sidebar--container js-work-sidebar"><div class="ds-related-content--container"><h2 class="ds-related-content--heading">Related papers</h2><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="0" data-entity-id="2424850" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/2424850/Entropy_A_concept_that_is_not_a_physical_quantity_PHYSICS_ESSAYS_Volume_25_Issue_2_June_2012_P172_176_">Entropy:A concept that is not a physical quantity ................................(PHYSICS ESSAYS, Volume 25 Issue 2, June 2012, P172-176)</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="3148895" href="https://independent.academia.edu/shufengzhang">shufeng zhang</a></div><div 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