Extremal driving as a mechanism for generating long-term memory

Дата и время публикации : 2000-09-26T11:41:21Z

Авторы публикации и институты :
D. A. Head

Ссылка на журнал-издание: J. Phys. A 33, L387 (2000)
Коментарии к cтатье: 5 pages, no figures; requires IOP style files. To appear as a J. Phys. A. letter
Первичная категория: cond-mat.stat-mech

Все категории : cond-mat.stat-mech

Краткий обзор статьи: It is argued that systems whose elements are renewed according to an extremal criterion can generally be expected to exhibit long-term memory. This is verified for the minimal extremally driven model, which is first defined and then solved for all system sizes Ngeq2 and times tgeq0, yielding exact expressions for the persistence R(t)=[1+t/(N-1)]^{-1} and the two-time correlation function C(t_{rm w}+t,t_{rm w})=(1-1/N)(N+t_{rm w})/(N+t_{rm w}+t-1). The existence of long-term memory is inferred from the scaling of C(t_{rm w}+t,t_{rm w})sim f(t/t_{rm w}), denoting {em aging}. Finally, we suggest ways of investigating the robustness of this mechanism when competing processes are present.

Category: Physics