Incomplete equilibrium in long-range interacting systems

Details Incomplete equilibrium in long-range interacting systems Incomplete equilibrium in long-range interacting systems

2006-03-24

arxiv.org/abs/cond-mat/0603659v2

Phys. Rev. Lett. {\bf 97}, 100601 (2006)

Physics

Condensed Matter

Statistical Mechanics

Title changed, throughout revision of the text

Scientific paper

10.1103/PhysRevLett.97.100601

We use a Hamiltonian dynamics to discuss the statistical mechanics of long-lasting quasi-stationary states particularly relevant for long-range interacting systems. Despite the presence of an anomalous single-particle velocity distribution, we find that the Central Limit Theorem implies the Boltzmann expression in Gibbs' $\Gamma$-space. We identify the nonequilibrium sub-manifold of $\Gamma$-space characterizing the anomalous behavior and show that by restricting the Boltzmann-Gibbs approach to this sub-manifold we obtain the statistical mechanics of the quasi-stationary states.

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