Stationary solutions of Liouville equations for non-Hamiltonian systems |
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Authors: | Vasily E Tarasov |
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Institution: | Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow 119992, Russia |
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Abstract: | 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. |
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Keywords: | 05 20 -y 05 20 Gg |
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