Stationary solutions of Liouville equations for non-Hamiltonian systems

Journal Article · Fri Apr 01 04:00:00 EST 2005 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2004.11.001· OSTI ID:20690140

Tarasov, Vasily E ^[1]

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1. Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow 119992 (Russian Federation)

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.

• OSTI ID: 20690140
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 2 Vol. 316; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN-VLASOV EQUATION
DISTRIBUTION
HAMILTONIANS
INTEGRAL CALCULUS
MATHEMATICAL SOLUTIONS