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

Thermodynamics, Statistical Mechanics and Entropy

TLDR
The postulates for thermodynamics are examined critically, and some modifications are suggested to allow for the inclusion of long-range forces, inhomogeneous systems with non-extensive entropy, and systems that can have negative temperatures.

Resolving the debate about proposed expressions for the classical entropy

Despite well over a century of effort, the proper expression for the classical entropy in statistical mechanics remains a subject of debate. The Boltzmann entropy (calculated from a surface in phase…

Thermodynamics of finite systems: a key issues review

  • R. Swendsen
  • Physics
    Reports on progress in physics. Physical Society
  • 2018
TLDR
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

TLDR
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

TLDR
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)

TLDR
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

Eco-Cycle Comprehensive Operation Performance Evaluation–A Case Study of Baotou Steel Group

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 LiBixiang 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.

References

SHOWING 1-10 OF 35 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.

The physics and mathematics of the second law of thermodynamics (Physics Reports 310 (1999) 1–96)☆

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…

Gibbs' Paradox and the Definition of Entropy

TLDR
Gibbs’ Paradox is shown to arise from an incorrect traditional definition of the entropy that has unfortunately become entrenched in physics textbooks, which predicts a violation of the second law of thermodynamics when applied to colloids.

Thermodynamics and an Introduction to Thermostatistics

GENERAL PRINCIPLES OF CLASSICAL THERMODYNAMICS. The Problem and the Postulates. The Conditions of Equilibrium. Some Formal Relationships, and Sample Systems. Reversible Processes and the Maximum Work…

Thermodynamics and an Introduction to Thermostatistics, 2nd Edition

DESCRIPTION The only text to cover both thermodynamic and statistical mechanics--allowing students to fully master thermodynamics at the macroscopic level. Presents essential ideas on critical…