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The Gibbs Paradox [PDF]

open access: yesEntropy, 2018
The Gibbs Paradox is essentially a set of open questions as to how sameness of gases or fluids (or masses, more generally) are to be treated in thermodynamics and statistical mechanics.
Simon Saunders
doaj   +9 more sources

The Gibbs Paradox and Particle Individuality [PDF]

open access: yesEntropy, 2018
A consensus seems to have developed that the Gibbs paradox in classical thermodynamics (the discontinuous drop in the entropy of mixing when the mixed gases become equal to each other) is unmysterious: in any actual situation, two gases can be separated ...
Dennis Dieks
doaj   +8 more sources

Probability, Entropy, and Gibbs’ Paradox(es) [PDF]

open access: yesEntropy, 2018
Two distinct puzzles, which are both known as Gibbs’ paradox, have interested physicists since they were first identified in the 1870s. They each have significance for the foundations of statistical mechanics and have led to lively discussions with
Robert H. Swendsen
doaj   +7 more sources

The Gibbs Paradox: Lessons from Thermodynamics [PDF]

open access: yesEntropy, 2018
The Gibbs paradox in statistical mechanics is often taken to indicate that already in the classical domain particles should be treated as fundamentally indistinguishable.
Janneke van Lith
doaj   +9 more sources

The Gibbs Paradox: Early History and Solutions [PDF]

open access: yesEntropy, 2018
This article is a detailed history of the Gibbs paradox, with philosophical morals. It purports to explain the origins of the paradox, to describe and criticize solutions of the paradox from the early times to the present, to use the history of ...
Olivier Darrigol
doaj   +7 more sources

The “Real” Gibbs Paradox and a Composition-Based Resolution [PDF]

open access: yesEntropy, 2023
There is no documented evidence to suggest that J. W. Gibbs did not recognize the indistinguishable nature of states involving the permutation of identical particles or that he did not know how to justify on a priori grounds that the mixing entropy of ...
Fabien Paillusson
doaj   +4 more sources

Mixing indistinguishable systems leads to a quantum Gibbs paradox [PDF]

open access: yesNature Communications, 2021
The Gibbs paradox stems from the entropy change upon mixing two gases. Here, by considering bosonic and fermionic statistics, the authors show that an observer unable to distinguish the particles’ spins assigns a greater entropy increase to the mixing ...
Benjamin Yadin   +2 more
doaj   +6 more sources

Cells solved the Gibbs paradox by learning to contain entropic forces [PDF]

open access: yesScientific Reports, 2023
As Nature’s version of machine learning, evolution has solved many extraordinarily complex problems, none perhaps more remarkable than learning to harness an increase in chemical entropy (disorder) to generate directed chemical forces (order).
Josh E. Baker
doaj   +2 more sources

The Gibbs Paradox Revisited [PDF]

open access: yes, 2011
The Gibbs paradox has frequently been interpreted as a sign that particles of the same kind are fundamentally indistinguishable; and that quantum mechanics, with its identical fermions and bosons, is indispensable for making sense of this. In this article we shall argue, on the contrary, that analysis of the paradox supports the idea that classical ...
Dennis Dieks   +4 more
openaire   +5 more sources

Gibbs’ paradox and black-hole entropy [PDF]

open access: yesGeneral Relativity and Gravitation, 2008
Contribution to Mashhoon festschrift, 13 pages, 4 ...
Kiefer, Claus, Kolland, Gerhard
openaire   +3 more sources

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