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Dynamical approach to the microcanonical ensemble | | Xavier Leoncini
; Alberto D. Verga
; | | Date: |
12 Dec 2000 | | Journal: | Phys. Rev. E, 64, 066101 (2001) | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | An analytical method to compute thermodynamic properties of a given Hamiltonian system is proposed. This method combines ideas of both dynamical systems and ensemble approaches to thermodynamics, providing de facto a possible alternative to traditional Ensemble methods. Thermodynamic properties are extracted from effective motion equations. These equations are obtained by introducing a general variational principle applied to an action averaged over a statistical ensemble of paths defined on the constant energy surface. The method is applied first to the one dimensional (eta)-FPU chain and to the two dimensional lattice (phi ^{4}) model. In both cases the method gives a good insight of some of their statistical and dynamical properties. | | Source: | arXiv, cond-mat/0012215 | | Services: | Forum | Review | PDF | Favorites | |
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