Entropy of Classical Systems with Long-Range Interactions

作者: T. M. Rocha Filho , A. Figueiredo , M A. Amato

DOI: 10.1103/PHYSREVLETT.95.190601

关键词: Maximum entropy thermodynamicsH-theoremEntropy in thermodynamics and information theoryJoint quantum entropyStatistical physicsQuantum relative entropyEntropy (arrow of time)PhysicsConfiguration entropyVon Neumann entropy

摘要: We discuss the form of entropy for classical Hamiltonian systems with long-range interaction using Vlasov equation which describes dynamics a $N$ particle in limit $N\ensuremath{\rightarrow}\ensuremath{\infty}$. The stationary states system are subject to infinite conserved quantities due dynamics. show that correspond an extremum Boltzmann-Gibbs entropy, and their stability is obtained from condition this maximum. As consequence, function set Lagrange multipliers depend on initial condition. also context meaning ensemble inequivalence temperature.

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