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Weak Convergence of Solutions of the Liouville Equation for Nonlinear Hamiltonian Systems
Authors:Kozlov  V V  Treshchev  D V
Institution:(1) Moscow State University, Moscow, Russia
Abstract:We suggest sufficient conditions for the existence of weak limits of solutions of the Liouville equation as time increases indefinitely. The presence of the weak limit of the probability distribution density leads to a new interpretation of the second law of thermodynamics for entropy increase.
Keywords:Hamiltonian system  Liouville equation  weak convergence  entropy
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