Results 11 to 20 of about 37,263 (179)
On the So-Called Gibbs Paradox, and on the Real Paradox [PDF]
Entropy, 2007 Two versions of the so-called Gibbs paradox are discussed. Both of these areshown to be non-paradoxes. It is also shown that there is a different real paradox that emergesfrom Gibbs writings.
Arieh Ben-Naim
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The free quon gas suffers Gibbs' paradox [PDF]
Physical Review D, 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.\ $q\to-1$), the partition functions of free gases are independent of $q$ in the range ...
A.J. Macfarlane +29 more
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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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Gibbs paradox and it’s solution
Известия высших учебных заведений: Проблемы энергетики, 2017 The article deals with the classical solution of the Gibbs paradox, on the basis of which and experimentally verified the facts in the presence of the chemical energy of real gases and gases with properties approaching the ideal gases promoted the ...
V. G. Kiselev
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The Gibbs paradox and the distinguishability of identical particles [PDF]
American Journal of Physics, 2011 Identical classical particles are distinguishable. This distinguishability affects the number of ways W a macrostate can be realized on the microlevel, and from the relation S=k ln W leads to a nonextensive expression for the entropy. This result is usually considered incorrect because of its inconsistency with thermodynamics. It is sometimes concluded
Versteegh, M.A.M., Dieks, D.G.B.J.
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Gibbs’ paradox according to Gibbs and slightly beyond [PDF]
Molecular Physics, 2018 The so-called Gibbs paradox is a paradigmatic narrative illustrating the necessity to account for the N! ways of permuting N identical particles when summing over microstates. Yet, there exist some mixing scenarios for which the expected thermodynamic outcome depends on the viewpoint one chooses to justify this combinatorial term.
Fabien Paillusson
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Nanothermodynamics: There’s Plenty of Room on the Inside [PDF]
NanomaterialsNanothermodynamics provides the theoretical foundation for understanding stable distributions of statistically independent subsystems inside larger systems.
Ralph V. Chamberlin, Stuart M. Lindsay
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Entropy Calculation of Reversible Mixing of Ideal Gases Shows Absence of Gibbs Paradox
Entropy, 1999 : We consider the work of reversible mixing of ideal gases using a real process. Now assumptions were made concerning infinite shifts, infinite number of cycles and infinite work to provide an accurate calculation of entropy resulting from reversible ...
Oleg Borodiouk, Vasili Tatarin
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Plea for the use of the exact Stirling formula in statistical mechanics
SciPost Physics Lecture Notes, 2023 In statistical mechanics, the generally called Stirling approximation is actually an approximation of Stirling's formula. In this article, it is shown that the term that is dropped is in fact the one that takes fluctuations into account.
Didier Lairez
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The Logic of Identity: Distinguishability and Indistinguishability in Classical and Quantum Physics [PDF]
, 2014 The suggestion that particles of the same kind may be indistinguishable in a fundamental sense, even so that challenges to traditional notions of individuality and identity may arise, has first come up in the context of classical statistical mechanics ...
Dieks, Dennis
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