Journal ArticleDOI
Extensivity and the Gibbs-Duhem equation
TLDR
In this paper, it was shown that the Gibbs-Duhem equation does not remain valid for system having inhomogeneous entropies, and some consequences of this are discussed.About:
This article is published in Physics Letters A.The article was published on 1983-09-19. It has received 1 citations till now. The article focuses on the topics: Entropy (statistical thermodynamics) & Gibbs–Duhem equation.read more
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Thermodynamics of non-extensive systems
TL;DR: A review of the state-of-the-art work in this field can be found in this paper, along with a possible direction for future work in black hole entropy analysis.
References
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Journal ArticleDOI
Metric geometry of equilibrium thermodynamics
TL;DR: In this paper, the principal empirical laws of equilibrium thermodynamics can be brought into correspondence with the mathematical axioms of an abstract metric space, which permits one to associate with the thermodynamic formalism a geometrical aspect, with intrinsic metric structure, which is distinct from that arising from graphical representations of equilibrium surfaces in phase space.
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Metric geometry of equilibrium thermodynamics. II. Scaling, homogeneity, and generalized Gibbs–Duhem relations
TL;DR: In this paper, it was shown that the classical Gibbs-Duhem relation can be regarded as expressing the obvious geometric impossibility of finding r + 1 linearly independent vectors in an r •dimensional space.
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Particle-number fluctuations
TL;DR: In this paper, the mean square relative fluctuation in number of particles for an ideal relativistic Bose gas, at or below its condensation temperature, is investigated, and different values are obtained for this quantity and it is shown that a restriction must be placed on the use of one of these relations.
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On the meaning of extensivity
TL;DR: In this article, it was shown that the various definitions of an extensive quantity appearing in the standard thermodynamics texts are not equivalent, and none of these is found to be equivalent to the usual statistical-mechanical meaning.