The definition of the thermodynamic entropy in statistical mechanics

@article{Swendsen2017TheDO,
  title={The definition of the thermodynamic entropy in statistical mechanics},
  author={Robert H. Swendsen},
  journal={Physica A-statistical Mechanics and Its Applications},
  year={2017},
  volume={467},
  pages={67-73}
}
  • R. Swendsen
  • Published 18 May 2016
  • Physics
  • Physica A-statistical Mechanics and Its Applications
View PDF on arXiv
11 Citations
Background Citations
4

11 Citations

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  • 2018
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This paper will show that standard thermodynamics, with some minor generalizations, is correct, and the alternative thermodynamics suggested by Hilbert, Hänggi, and Dunkel is not, and that negative temperatures are thermodynamically consistent.
The Gibbs Paradox and Particle Individuality
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It is demonstrated how the standard formalism is not only fully capable of dealing with the paradox, but also provides an intuitively clear picture of the relevant physical mechanisms.
Role of Quantum Entropy and Establishment of H-Theorems in the Presence of Graviton Sinks for Manifestly-Covariant Quantum Gravity
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The theory of manifestly-covariant quantum gravity developed accordingly is shown to retain its emergent-gravity features, which are recovered when the generalized-Lagrangian-path formalism is adopted, yielding a stochastic trajectory-based representation of the quantum wave equation.
Probability, Entropy, and Gibbs’ Paradox(es)
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It is shown that contrary to what has often been suggested, quantum mechanics is not essential for resolving the paradoxes and includes the case of colloidal solutions, for which quantum Mechanics is not relevant.
A thermodynamic description of the glass state and the glass transition
  • K. Shirai
  • Physics
    Journal of Physics Communications
  • 2020
Many properties of solids, such as the glass state, hysteresis, and memory effects, are commonly treated as nonequilibrium phenomena, which involve numerous conceptual difficulties. However, few…
Coarse-graining and symplectic non-squeezing
  • N. Kalogeropoulos
  • Mathematics
    Physica A: Statistical Mechanics and its Applications
  • 2021
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With the advent of circular economy, enterprises have no longer given priority to the economic benefits, but also focus on social responsibility and sustainable development. In order to accelerate…
A review of the interaction between anthocyanins and proteins
  • Jia Li, Bixiang Wang, Haoran Zhang
  • Medicine, Chemistry
    Food science and technology international = Ciencia y tecnologia de los alimentos internacional
  • 2020
TLDR
The structural changes of complex of anthocyanins interacting with proteins from different sources are reviewed and the stability, antioxidant, digestion, absorption, and emulsification of the complex were improved.
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References

SHOWING 1-10 OF 32 REFERENCES
Continuity of the entropy of macroscopic quantum systems.
  • R. Swendsen
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2015
TLDR
This paper analyzes and calculates the thermodynamic entropy for large but finite quantum mechanical systems and preserves all required thermodynamic properties, including satisfaction of all postulates and laws of thermodynamics.
Statistical mechanics of colloids and Boltzmann’s definition of the entropy
TLDR
The Boltzmann entropy as traditionally presented in statistical mechanics textbooks is only a special case and not BoltZmann's fundamental definition, which leads to consistent and correct statistical mechanics and thermodynamics.
Thermodynamics of the System of Distinguishable Particles
TLDR
The issue of the thermodynamics of a system of distinguishable particles is discussed and a straightforward way to get the corrected Boltzmann counting is shown, which can be justified in classical statistical mechanics.
Choosing a Definition of Entropy that Works
TLDR
The consequences of differing definitions of the thermodynamic entropy of macroscopic systems are examined and a definition based on probabilities is argued in favor.
On the (Boltzmann) entropy of non-equilibrium systems
Gibbs volume entropy is incorrect.
We show that the expression for the equilibrium thermodynamic entropy contains an integral over a surface in phase space, and in so doing, we confirm that negative temperature is a valid…
An Introduction to Statistical Mechanics and Thermodynamics
This is a textbook on statistical mechanics and thermodynamics. It begins with the molecular nature of matter and the fact that we want to describe systems containing many (1020) particles. The first…
The physics and mathematics of the second law of thermodynamics
Is There a Unique Physical Entropy? Micro versus Macro
Entropy in thermodynamics is an extensive quantity, whereas standard methods in statistical mechanics give rise to a non-extensive expression for the entropy. This discrepancy is often seen as a sign…
Statistical Mechanics of Classical Systems with Distinguishable Particles
The properties of classical models of distinguishable particles are shown to be identical to those of a corresponding system of indistinguishable particles without the need for ad hoc corrections. An…
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