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

Boltzmann-Gibbs thermal equilibrium distribution for classical systems and Newton law: a computational discussion,10.1140/epjb/e2006-00265-y,European

Boltzmann-Gibbs thermal equilibrium distribution for classical systems and Newton law: a computational discussion   (Citations: 2)
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.  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.
Journal: European Physical Journal B - EUR PHYS J B , vol. 52, no. 1, pp. 113-117, 2006
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