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- Title
Microscopic Reversibility and Macroscopic Irreversibility: From the Viewpoint of Algorithmic Randomness.
- Authors
Hiura, Ken; Sasa, Shin-ichi
- Abstract
The emergence of deterministic and irreversible macroscopic behavior from deterministic and reversible microscopic dynamics is understood as a result of the law of large numbers. In this paper, we prove on the basis of the theory of algorithmic randomness that Martin-Löf random initial microstates satisfy an irreversible macroscopic law in the Kac infinite chain model. We find that the time-reversed state of a random state is not random as well as it violates the macroscopic law.
- Subjects
ALGORITHMIC randomness
- Publication
Journal of Statistical Physics, 2019, Vol 177, Issue 5, p727
- ISSN
0022-4715
- Publication type
Article
- DOI
10.1007/s10955-019-02387-0