Phase Transition in Random Walks with Long-Range Correlations

Shahar Hod, Uri Keshet

Research output: Contribution to journalArticlepeer-review

45 Scopus citations

Abstract

The dynamics of random walks with history dependent jump probabilities dynamical systems was discussed. A dynamical phase transition from normal diffusion to superdiffusive behavior was solved using a simple and solvable model. The probability for a unit bit in a binary string depended on the fraction of unities. It was observed that the system went in a dynamical phase transition from normal diffusion into a superdiffusion phase when the correlation strength exceeded a critical value.

Original languageEnglish
Number of pages4
JournalPhysical Review E
Volume70
Issue number1
DOIs
StatePublished - 1 Jul 2004
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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