Journal ArticleDOI
On the Gibbs paradox: what does indistinguishability really mean?
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TLDR
In this article, an explicit examination of the concept of indistinguishability can clarify some of the implications of the quantum-mechanical resolution of the Gibbs paradox, which is not clear within the framework of classical thermodynamics how the identity of the particles effects the analysis.Abstract:
The Gibbs paradox concerns the entropy of mixing of ideal gases: although the entropy change of mixing samples of different gases is unequal to the entropy change of mixing samples of the same gas, it is not clear within the framework of classical thermodynamics how the identity of the particles effects the analysis. An explicit examination of the concept of indistinguishability can clarify some of the implications of the quantum-mechanical resolution of the Gibbs paradox.read more
Citations
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Correlation of Entropy with Similarity and Symmetry
TL;DR: The maximum entropy of any system corresponds to indistinguishability (total loss of information), to perfect symmetry or highest symmetry, and to the highest simplicity.
Journal ArticleDOI
The Nature of the Chemical Process. 1. Symmetry Evolution – Revised Information Theory, Similarity Principle and Ugly Symmetry
TL;DR: In this paper, the Curie-Rosen symmetry principle was shown to be a special case of the similarity principle, and two empirical rules, the similarity rule and complementarity rule, were given a theoretical foundation.
Journal ArticleDOI
Explanation of the Gibbs paradox within the framework of quantum thermodynamics.
TL;DR: For almost identical gases the mixing ergotropy continuously goes to zero, thus resolving the paradox, and difficulties which prevent resolutions of the paradox in its entropic formulation do not arise.
Journal ArticleDOI
Thermodynamics of the System of Distinguishable Particles
TL;DR: In this paper, the thermodynamics of a system of distinguishable particles is discussed. And the corrected Boltzmann counting factor can be justified in classical statistical mechanics, which is a straightforward way to get the correction.
Journal ArticleDOI
Gibbs' paradox and non-uniform convergence
TL;DR: In this paper, it is shown that the entropy change, as a definite and measurable quantity of heat, is a fully continuous function of the relevant variables, and that it is only at an infinite and unattainable limit that a non-uniform convergence occurs.
References
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Journal ArticleDOI
Note on the Statistics' of Nuclei
P. Ehrenfest,J. R. Oppenheimer +1 more
TL;DR: In this paper, the symmetry of the wave functions in the coordinates of the center of gravity of two similar stable clusters of electrons and protons was derived from Pauli's exclusion principle, and the assumption that the clusters satisfy the Einstein-Bose or Fermi-Dirac statistics according to whether the number of particles in each cluster is even or odd.
Journal ArticleDOI
Note on a Problem Concerning the Gibbs Paradox
TL;DR: In this article, the Gibbs paradox for the case where an ideal gas A is allowed to mix with a ideal gas B whose atoms are all B atoms in an excited metastable state was examined.