Broken ergodicity and glassy behavior in a deterministic chaotic map

Details Broken ergodicity and glassy behavior in a deterministic chaotic map Broken ergodicity and glassy behavior in a deterministic chaotic map

1995-06-16

arxiv.org/abs/cond-mat/9506073v1

Physics

Condensed Matter

3 pages RevTeX 3.0, 4 figures included (postscript), files packed with uufiles

Scientific paper

10.1103/PhysRevLett.76.612

A network of $N$ elements is studied in terms of a deterministic globally coupled map which can be chaotic. There exists a range of values for the parameters of the map where the number of different macroscopic configurations is very large, and there is violation of selfaveraging. The time averages of functions, which depend on a single element, computed over a time $T$, have probability distributions that do not collapse to a delta function, for increasing $T$ and $N$. This happens for both chaotic and regular motion, i.e. positive or negative Lyapunov exponent.

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