Phase transition in random walks with long-range correlations

Shahar Hod; Uri Keshet

doi:10.1103/PhysRevE.70.015104

Phase transition in random walks with long-range correlations

Shahar Hod, Uri Keshet

Research output: Contribution to journal › Article › peer-review

48 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 language	English
Article number	015104
Pages (from-to)	015104-1-015104-4
Journal	Physical Review E
Volume	70
Issue number	1 2
DOIs	https://doi.org/10.1103/PhysRevE.70.015104
State	Published - 1 Jul 2004
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy
Condensed Matter Physics
Statistical and Nonlinear Physics
Mathematical Physics

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10.1103/PhysRevE.70.015104

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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.",

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Phase transition in random walks with long-range correlations

Abstract

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