Anomalous diffusion in dynamical systems: Transport coefficients of all order

Xiao Jing Wang, Chin Kun Hu

Research output: Contribution to journalArticle

Abstract

The theory of Ruelles zeta function [Thermodynamic Formalism (Addison-Wesley, Reading, MA, 1978)] is extended to describe anomalous transport induced by dynamical chaos. It is shown that P(q) for the generating function of the displacement may not exist for supradiffusive processes, and that the difficulty may be overcome by the introduction of a two-parameter function P(q). We present two exactly solvable examples of anomalous diffusion induced by intermittency, to which our method is applied.

Original languageEnglish (US)
Pages (from-to)728-733
Number of pages6
JournalPhysical Review E
Volume48
Issue number2
DOIs
StatePublished - 1993

Fingerprint

Thermodynamic Formalism
Transport Coefficients
Anomalous Diffusion
Intermittency
Riemann zeta function
dynamical systems
Anomalous
Generating Function
Two Parameters
Chaos
transport properties
Dynamical system
intermittency
chaos
formalism
thermodynamics

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Anomalous diffusion in dynamical systems : Transport coefficients of all order. / Wang, Xiao Jing; Hu, Chin Kun.

In: Physical Review E, Vol. 48, No. 2, 1993, p. 728-733.

Research output: Contribution to journalArticle

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