Stationary solutions of Liouville equations for non-Hamiltonian systems


We consider the class of non-Hamiltonian and dissipative statistical systems with distributions that are determined by the Hamiltonian. The distributions are derived analytically as stationary solutions of the Liouville equation for non-Hamiltonian systems. The class of non-Hamiltonian systems can be described by a non-holonomic (non-integrable) constraint: the velocity of the elementary phase volume change is directly proportional to the power of non-potential forces. The coefficient of this proportionality is determined by Hamiltonian. The constant temperature systems, canonical–dissipative systems, and Fermi–Bose classical systems are the special cases of this class of non-Hamiltonian systems. 2004 Elsevier Inc. All rights reserved. PACS: 05.20.-y; 05.20.Gg

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@inproceedings{Tarasov2005StationarySO, title={Stationary solutions of Liouville equations for non-Hamiltonian systems}, author={Vasily E. Tarasov}, year={2005} }