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The Gibbs Paradox: Early History and Solutions [PDF]
Entropy, 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
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Mixing indistinguishable systems leads to a quantum Gibbs paradox [PDF]
Nature 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
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The Gibbs Paradox: Lessons from Thermodynamics [PDF]
Entropy, 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
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The “Real” Gibbs Paradox and a Composition-Based Resolution [PDF]
Entropy, 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
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Probability, Entropy, and Gibbs’ Paradox(es) [PDF]
Entropy, 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
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The Gibbs Paradox and Particle Individuality [PDF]
Entropy, 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
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Entropy, 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
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The Gibbs Paradox, the Landauer Principle and the Irreversibility Associated with Tilted Observers [PDF]
Entropy, 2017 It is well known that, in the context of General Relativity, some spacetimes, when described by a congruence of comoving observers, may consist of a distribution of a perfect (non–dissipative) fluid, whereas the same spacetime as seen by a “tilted ...
Luis Herrera
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Cells solved the Gibbs paradox by learning to contain entropic forces [PDF]
Scientific 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
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The free quon gas suffers Gibbs' paradox [PDF]
, 1993 We consider the Statistical Mechanics of systems of particles satisfying the $q$-commutation relations recently proposed by Greenberg and others. We show that although the commutation relations approach Bose (resp.\ Fermi) relations for $q\to1$ (resp ...
Reinhard F. Werner
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