Study of Time Reversal in Complex Systems
CALIFORNIA UNIV DAVIS DEPT OF PHYSICS
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In this paper we present conclusions of a study of irreversibility in physical processes, using the conceptual formalism of the epsilon-machine. The causal irreversibility is examined, in particular for the class of Flower processes, and found to be attributable to contributions from the transition probability distributions as well as the causal state topology of a process. The topological irreversibility is a prerequisite for causal irreversibility, and is examined in more detail in the framework of topological epsilon-machines. Detailed study of the mechanisms involved in time-reversal of the particular model class of semi-periodic deterministic finite automata allows characterization of the topological source of irreversibility in this context. The work was performed as part of the 2013 UC Davis physics REU program.
- Statistics and Probability