Electronic Resource
Springer
Journal of statistical physics
37 (1984), S. 173-186
ISSN:
1572-9613
Keywords:
K-systems
;
Bernoulli shifts
;
Markov processes
;
irreversibility
;
stable manifolds
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract It results from recent works of Prigogine and collaborators that one can construct a nonunitary operator which realizes an “equivalence” between the positive actions of a reversible dynamical system and an irreversible Markov process going to equilibrium. We consider here this construction and we prove that (a) forK-shifts the transition probability of the associated Markov process is concentrated in the stable manifold of the transformed point by the shift with a point mass concentrated on the deterministic trajectory; and (b) for Bernoulli shifts the measures which go to equilibrium are the same for the deterministic system and the Markov process.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01012910
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