Boltzmann-Gibbs thermal equilibrium distribution for classical systems and Newton law: a computational discussion

F. Baldovin (), L. G. Moyano () and C. Tsallis ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 52, issue 1, 113-117

Abstract: We implement a general numerical calculation that allows for a direct comparison between nonlinear Hamiltonian dynamics and the Boltzmann-Gibbs canonical distribution in Gibbs Γ-space. Using paradigmatic first-neighbor models, namely, the inertial XY ferromagnet and the Fermi-Pasta-Ulam β-model, we show that at intermediate energies the Boltzmann-Gibbs equilibrium distribution is a consequence of Newton second law (F=ma). At higher energies we discuss partial agreement between time and ensemble averages. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Keywords: 05.10.-a Statistical physics; thermodynamics; and nonlinear dynamical systems; 05.20.-y Classical statistical mechanics; 05.45.-a Nonlinear dynamics and chaos; 05.20.Gg Classical ensemble theory (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1140/epjb/e2006-00265-y

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