Recent Progress in the Definition of Thermodynamic Entropy

  title={Recent Progress in the Definition of Thermodynamic Entropy},
  author={E. Zanchini and G. Beretta},
The principal methods for the definition of thermodynamic entropy are discussed with special reference to those developed by Carath\'eodory, the Keenan School, Lieb and Yngvason, and the present authors. An improvement of the latter method is then presented. Seven basic axioms are employed: three Postulates, which are considered as having a quite general validity, and four Assumptions, which identify the domains of validity of the definitions of energy (Assumption 1) and entropy (Assumptions 2… Expand
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Steepest entropy ascent model for far-nonequilibrium thermodynamics: unified implementation of the maximum entropy production principle.
  • G. Beretta
  • Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2014
It is hoped that the present unifying approach may prove useful in providing a fresh basis for effective, thermodynamically consistent, numerical models and theoretical treatments of irreversible conservative relaxation towards equilibrium from far nonequilibrium states. Expand
A Novel Derivation of the Time Evolution of the Entropy for Macroscopic Systems in Thermal Non-Equilibrium
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Essential equivalence of the GENERIC and Steepest Entropy Ascent models of dissipation for non-equilibrium thermodynamics
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Steepest-entropy-ascent model of mesoscopic quantum systems far from equilibrium along with generalized thermodynamic definitions of measurement and reservoir
This paper presents a nonequilibrium, first-principles, thermodynamic-ensemble based model for the relaxation process of interacting non-equilibrium systems. This model is formulated usingExpand
Steepest-entropy-ascent quantum thermodynamic modeling of heat and mass diffusion in a far-from-equilibrium system based on a single particle ensemble
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Chapter Eight. The Entropy of Classical Thermodynamics
The essence of the second law of classical thermodynamics is the entropy principle, which asserts the existence of an additive and extensive entropy function, S, that is defined for all equilibriumExpand
The entropy concept for non-equilibrium states
  • E. Lieb, J. Yngvason
  • Mathematics, Physics
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2013
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