Original scientific paper

On the condition for the existence of the stationary density in phase and its consequences

Mirjana Božić ; Institute of Physics, P. 0. Box 57, Beograd, Yugoslavia
Zvonko Marić ; Institute of Physics, P. 0. Box 57, Beograd, Yugoslavia
Dragomir Davidović ; Institute Boris Kidrič, Vinča, P. 0. Box 522, Beograd, Yugoslavia

Abstract

The properties of the stationary density in phase are studied by dividing the phase space into two parts: the bounded (P1) and unbounded part (P2) of the Hamiltonian. We show that the existence of the stationary density in phase is determined by the existence of the bounded motions. The stationary and normalized density in phase may not be different from zero in the unbounded part P2 of the phase space P. We study the relevance of the condition for the existence of the stationary density in phase for the Leaf, Schieve and Davidson, Rae solutions of the problem of the approach of equilibrium in systems with Hamiltonians expressible in action angle variables.

Keywords

Hrčak ID:

331455

URI

https://hrcak.srce.hr/331455

Publication date:

5.12.1988.

Article data in other languages: serbian

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