2013/09/30 by Shin‐ichi Sasa, Shin-ichi Sasa
Chemistry · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Entropy (arrow of time) #Entropy in thermodynamics and information theory #Fundamental thermodynamic relation #H-theorem #Joint quantum entropy #Laws of thermodynamics #Mathematics #Maximum entropy thermodynamics #Non-equilibrium thermodynamics #Physics #Principle of maximum entropy #Second law of thermodynamics #Statistical Mechanics and Entropy #Statistical physics #Statistics #Thermodynamics #cond-mat.stat-mech #thermodynamics and calorimetric analyses
paper · pdf · doi:10.1088/1742-5468/2014/01/p01004
15 pages, contribution to STATPYHS25 Special Issue; minor revisions are made in ver.2; some typos are fixed in ver.3. This version will be published in JSTAT
arxiv created 2013/12/17 · openalex publication_date 2014/01/16 · arxiv updated 2015/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Thermodynamic entropy is determined by a heat measurement through the Clausius equality. The entropy then formalizes a fundamental limitation of operations by the second law of thermodynamics. The entropy is also expressed as the Shannon entropy of the microscopic degrees of freedom. Whenever an extension of thermodynamic entropy is attempted, we must pay special attention to how its three different aspects just mentioned are altered. In this paper, we discuss possible extensions of the thermodynamic entropy.