Study of Time Reversal in Complex Systems

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Jan 02, 2014
Accession Number
ADA622902

Entities

People

  • Brenden C. Roberts

Organizations

  • University of California, Davis

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Alphabets
  • Automata
  • Complex Systems
  • Equations
  • Hidden Markov Models
  • Machines
  • Markov Chains
  • Markov Models
  • Models
  • Notation
  • Observation
  • Phase Transformations
  • Probabilistic Models
  • Probability
  • Probability Distributions
  • Random Variables
  • Sequences

Readers

  • Mathematical Modeling and Probability Theory.
  • Theoretical Analysis.