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 N(N) is very large, N(N)∼exp√c(a)N, and there is violation of self-averaging. The time averages of functions, which depend on a single element, computed over a time T, have probability distributions that for any N do not collapse to a delta function, for increasing T. This happens for both chaotic and regular motion, i.e., positive or negative Lyapunov exponent.

Broken ergodicity and glassy behavior in a deterministic chaotic map / Crisanti, Andrea; Falcioni, Massimo; Vulpiani, Angelo. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 74:(1996), pp. 612-615. [10.1103/PhysRevLett.76.612]

Broken ergodicity and glassy behavior in a deterministic chaotic map

CRISANTI, Andrea;FALCIONI, Massimo;VULPIANI, Angelo
1996

Abstract

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 N(N) is very large, N(N)∼exp√c(a)N, and there is violation of self-averaging. The time averages of functions, which depend on a single element, computed over a time T, have probability distributions that for any N do not collapse to a delta function, for increasing T. This happens for both chaotic and regular motion, i.e., positive or negative Lyapunov exponent.
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Broken ergodicity and glassy behavior in a deterministic chaotic map / Crisanti, Andrea; Falcioni, Massimo; Vulpiani, Angelo. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 74:(1996), pp. 612-615. [10.1103/PhysRevLett.76.612]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/242764
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