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Russian Physics Journal

, Volume 50, Issue 8, pp 839–844 | Cite as

Spontaneous violation of symmetry of the classical Liouville equation

  • V. V. Lasukov
Article

Abstract

An exact solution to the classical Liouville equation is derived. It is found that it can have a partial solution with a broken symmetry with respect to time. Thus, in the general case, it does not follow from the invariance of the fundamental Liouville law concerning time reversal that the past and future play similar roles.

Keywords

Phase Trajectory Liouville Equation Spontaneous Violation Probabilistic Determinism Lagrangian Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  1. 1.Tomsk Polytechnical UniversityRussia

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