 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| V.V. Kozlov, "On reversibility in systems with a non-compact configuration space and non-negative potential energy," J. Appl. Math. Mech. 81 (4), 250-255 (2017) |
| Year |
2017 |
Volume |
81 |
Issue |
4 |
Pages |
250-255 |
| DOI |
10.1016/j.jappmathmech.2017.12.001 |
| Title |
On reversibility in systems with a non-compact configuration space and non-negative potential energy |
| Author(s) |
V.V. Kozlov (Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia, kozlov@pran.ru) |
| Abstract |
The problem of the reversibility of the trajectories of a reversible mechanical system with a non-compact configuration space is discussed. To identify the conditions of reversibility in systems with a non-negative potential energy, an invariant Gibbs measure is used. Despite the non-compactness, the Gibbs measure of the entire phase space can be finite, which guarantees reversibility of almost all phase trajectories. Sufficient conditions for reversibility of trajectories of systems with a homogeneous, non-negative potential energy are indicated. As a consequence, reversibility of almost all phase trajectories of the Yang-Mills Hamiltonian with three degrees of freedom is established. |
| Received |
27 February 2017 |
| Link to Fulltext |
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