Results 21 to 30 of about 37,819 (173)
The Gibbs paradox and the distinguishability of identical particles [PDF]
Identical classical particles are distinguishable. This distinguishability affects the number of ways W a macrostate can be realized on the micro-level, and from the relation S = k ln W leads to a non-extensive expression for the entropy.
Marijn A. M. Versteegh, Dennis Dieks
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Plea for the use of the exact Stirling formula in statistical mechanics
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]
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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Gibbs paradox and it’s solution
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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We systematically apply the resolution to the configurational entropy paradox from our previous paper [V. Baranau and U. Tallarek, J. Chem. Phys. 147, 224503 (2017)] to study configurational entropies and the glass transition in polydisperse hard-sphere ...
Vasili Baranau, Ulrich Tallarek
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Gibbs' paradox and black-hole entropy [PDF]
In statistical mechanics Gibbs' paradox is avoided if the particles of a gas are assumed to be indistinguishable. The resulting entropy then agrees with the empirically tested thermodynamic entropy up to a term proportional to the logarithm of the ...
A. Eckart +28 more
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No Warfare: Let us render unto metaphor’s paradox we live by
This essay discusses metaphor as a cognitive paradox. It is divided into two parts. The first part outlines a schema explaining the paradox that the authors call ‘prodigal-within-prodigy’ in terms of how metaphor conception creates a contextual ...
Muhammad Tanweer, Khadija Nowaira Abdullah
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Quantum simulation of thermodynamics in an integrated quantum photonic processor
One of the core questions of quantum physics is how to reconcile the unitary evolution of quantum states, which is information-preserving and time-reversible, with evolution following the second law of thermodynamics, which, in general, is neither.
F. H. B. Somhorst +18 more
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In Defense of Gibbs and the Traditional Definition of the Entropy of Distinguishable Particles
The traditional Gibbs’ calculation of the entropy of distinguishable classical particles that leads to Gibbs Paradox has been criticized recently. This criticism, if valid, would require a substantially different definition of entropy in general. However,
John F. Nagle
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The Canonical Partition Function for Quons [PDF]
We calculate the canonical partition function $Z_N$ for a system of $N$ free particles obeying so-called `quon' statistics where $q$ is real and satisfies $|q|
Arik +28 more
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