On the non-Boltzmannian nature of quasi-stationary states in long-range interacting systems

Abstract

We discuss the non-Boltzmannian nature of quasi-stationary states in the Hamiltonian Mean Field (HMF) model, a paradigmatic model for long-range interacting classical many-body systems. We present a theorem excluding the Boltzmann-Gibbs exponential weight in Gibbs $\Gamma$-space of microscopic configurations, and comment a paper recently published by Baldovin and Orlandini (2006). On the basis of the points here discussed, the ongoing debate on the possible application, within appropriate limits, of the generalized $q$-statistics to long-range Hamiltonian systems remains open.

arXiv comment8 pages, 4 figures. New version accepted for publication in Physica A

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Cited by in corpus (14)

• Nonergodicity and Central Limit Behavior for Long-range Hamiltonians
• A closer look at the indications of q-generalized Central Limit Theorem behavior in quasi-stationary states of the HMF model
• Thermostatistics of deformed bosons and fermions
• Intermediate statistics as a consequence of deformed algebra
• Ergodicity and Central Limit Theorem in Systems with Long-Range Interactions
• Calculating statistical distributions from operator relations: the statistical distributions of various intermediate statistics
• Noise, Synchrony and Correlations at the Edge of Chaos
• The Entropy of Lagrange-Finsler Spaces and Ricci Flows
• An intermediate distribution between Gaussian and Cauchy distributions
• Nonextensive Statistical Analysis of Meteor Showers and Lunar Flashes
• Computational Statistical Mechanics of a confined, three-dimensional Coulomb gas
• Relationship between nonlinearities and thermalization in classical open systems: The role of the interaction range
• Conditional maximum entropy and Superstatistics
• Generation of non-Maxwell-Boltzmann energy distributions during thermalization of interacting baths