Note on the Kaplan-Yorke dimension and linear transport coefficients

Denis J. Evans*, E. G.D. Cohen, Debra J. Searles, F. Bonetto

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    35 Citations (Scopus)

    Abstract

    A number of new relations between the Kaplan-Yorke dimension, phase space contraction, transport coefficients and the maximal Lyapunov exponents are given for dissipative thermostatted systems, subject to a small but non-zero external field in a nonequilibrium stationary state. A condition for the extensivity of phase space dimension reduction is given. A new expression for the linear transport coefficients in terms of the Kaplan Yorke dimension is derived. Alternatively, the Kaplan Yorke dimension for a dissipative macroscopic system. The agreement with computer simulations for an atomic fluid at small shear rates is very good.

    Original languageEnglish
    Pages (from-to)17-34
    Number of pages18
    JournalJournal of Statistical Physics
    Volume101
    Issue number1-2
    DOIs
    Publication statusPublished - Oct 2000

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