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Obtaining Entropy via Coarsening: Microscopic Restrictions on Constitutive Equations
KTH, School of Information and Communication Technology (ICT).
2012 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [sv]

Entropi och temperatur presenteras som fältvärden definierade i termer av lokala medelvärden av atomistiska storheter i rumtiden, och därmed tydliggörs ett icke-traditionellt samband mellan makroskopisk termodynamik och mikroskopisk fysik, utan sannolikhetsfördelningar och medelvärden över ensembler. Genom att analysera beskrivningar av ett termomekaniskt system på olika skalor visas hur termodynamikens andra lag måste begränsa konstitutiva ekvationer snarare än processer och hur detta är relaterat till begreppet reproducerbarhet samt hela existensen av en makroskopisk teori.

Abstract [en]

Entropy and temperature are presented as field values defined in terms of local spacetime averages of atomistic quantities, and thereby a non-traditional connection between macroscopic thermodynamics and microscopic physics is established, without use of probability distributions and averaging over ensembles. By analysis of the inference between descriptions of a thermomechanical system on different spacetime scales it is shown why the second law of thermodynamics must be a restriction on constitutive equations rather than on processes and how this is connected to the concept of reproducibility and the very notion of a macroscopic theory.

Place, publisher, year, edition, pages
2012. , 33 p.
Trita-ICT-EX, 2012:145
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-98760OAI: diva2:538893
Available from: 2012-07-03 Created: 2012-07-02 Last updated: 2012-07-03Bibliographically approved

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