Published September 2003
| Version v1
Journal article
Evolution of dimensions in phase space of nonlinear Hamiltonian system
Creators
- 1. Moskovskij Gosudarstvennyj Univ., Moscow (Russian Federation)
Description
The existence of the weak limits of the solutions (from the Lp, p ≥ 1 class) of the Liouville equation for the nondegenerated quasi-homogenous Hamiltonian equations is identified. The threshold probabilities distributions in the configurational space are established. The conditions of the uniform distribution of the Gibbs ensemble for the geodesic fluxes on the compact manifolds are indicated
Abstract (Russian)
Установлено существование слабых пределов решений (из класса Lp, p ≥ 1) уравнения Лиувилля для невырожденных квазиоднородных уравнений Гамильтона. Найдены предельные вероятностные распределения в конфигурационном пространстве. Указаны условия равномерного распределения амсамбля Гиббса для геодезических потоков на компактных многообразияхAdditional details
Additional titles
- Original title (Russian)
- Эволюция мер в фазовом пространстве нелинейных гамилтоновых систем
Publishing Information
- Journal Title
- Teoreticheskaya i Matematicheskaya Fizika
- Journal Volume
- 136
- Journal Issue
- 3
- Journal Page Range
- p. 496-506
- ISSN
- 0564-6162
- CODEN
- TMFZAL
INIS
- Country of Publication
- Russian Federation
- Country of Input or Organization
- Russian Federation
- INIS RN
- 36055093
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- HAMILTONIANS; MATHEMATICAL MANIFOLDS; MATHEMATICAL SPACE; PHASE SPACE; PROBABILITY
- Descriptors DEC
- MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; QUANTUM OPERATORS; SPACE
Optional Information
- Notes
- 11 refs.