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Dynamical approach to the microcanonical ensemble

Xavier Leoncini·Alberto D. Verga
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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 (β)-FPU chain and to the two dimensional lattice (ϕ^{4}) model. In both cases the method gives a good insight of some of their statistical and dynamical properties.

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Xavier Leoncini, Alberto D. Verga. 2002-09-17. Dynamical approach to the microcanonical ensemble. https://doi.org/10.1103/physreve.64.066101

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