Steady State Behavior of Mechanically Perturbed Spin Glasses and Ferromagnets

Details Steady State Behavior of Mechanically Perturbed Spin Glasses and Ferromagnets Steady State Behavior of Mechanically Perturbed Spin Glasses and Ferromagnets

Publishing date

2001-06-12

URL

arxiv.org/abs/cond-mat/0106220v1

Journals

PHYS REV E 6404 (4): 6110-+ Part 2 OCT 2001

Science

Physics

Field

Condensed Matter

SubField

Statistical Mechanics

Additional info

11 pages, 7 figures

Type

Scientific paper

Digital Object Identifier

10.1103/PhysRevE.64.046110

Abstract

A zero temperature dynamics of Ising spin glasses and ferromagnets on random graphs of finite connectivity is considered, like granular media these systems have an extensive entropy of metastable states. We consider the problem of what energy a randomly prepared spin system falls to before becoming stuck in a metastable state. We then introduce a tapping mechanism, analogous to that of real experiments on granular media, this tapping, corresponding to flipping simultaneously any spin with probability $p$, leads to stationary regime with a steady state energy $E(p)$. We explicitly solve this problem for the one dimensional ferromagnet and $\pm J$ spin glass and carry out extensive numerical simulations for spin systems of higher connectivity. The link with the density of metastable states at fixed energy and the idea of Edwards that one may construct a thermodynamics with a flat measure over metastable states is discussed. In addition our simulations on the ferromagnetic systems reveal a novel first order transition, whereas the usual thermodynamic transition on these graphs is second order.

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