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

FULVIO BALDOVIN; LUIS G. MOYANO; CONSTANTINO TSALLIS

EUROPEAN PHYSICAL JOURNAL B - CONDENSED MATTER

SPRINGER

Lugar: Heidelberg; Año: 2006 vol. 52 p. 113 - 117

1434-6028

We implement a general numerical calculation that allows for a direct comparison between nonlinear Hamiltonian dynamics and the Boltzmann-Gibbs canonical distribution in Gibbs Gamma space. Using paradigmatic first-neighbor models, namely, the inertial XY ferromagnet and the Fermi-Pasta-Ulam beta-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.