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Title: Statistical mechanics in the extended Gaussian ensemble
Author: Johal, Ramandeep S.
Planes Vila, Antoni
Vives i Santa-Eulàlia, Eduard
Keywords: Física estadística
Sistemes dinàmics diferenciables
Statistical physics
Differentiable dynamical systems
Issue Date: 2003
Publisher: The American Physical Society
Abstract: The extended Gaussian ensemble (EGE) is introduced as a generalization of the canonical ensemble. This ensemble is a further extension of the Gaussian ensemble introduced by Hetherington [J. Low Temp. Phys. 66, 145 (1987)]. The statistical mechanical formalism is derived both from the analysis of the system attached to a finite reservoir and from the maximum statistical entropy principle. The probability of each microstate depends on two parameters ß and ¿ which allow one to fix, independently, the mean energy of the system and the energy fluctuations, respectively. We establish the Legendre transform structure for the generalized thermodynamic potential and propose a stability criterion. We also compare the EGE probability distribution with the q-exponential distribution. As an example, an application to a system with few independent spins is presented.
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It is part of: Physical Review E, 2003, vol. 67, núm. 5, p. 056113-1-056113-8
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ISSN: 1539-3755
Appears in Collections:Articles publicats en revistes (Física Quàntica i Astrofísica)

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