Damage spreading in the mode-coupling equations for glasses

Details Damage spreading in the mode-coupling equations for glasses Damage spreading in the mode-coupling equations for glasses

1997-11-27

arxiv.org/abs/cond-mat/9711303v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 2 figures, Revtex file

Scientific paper

10.1088/0305-4470/31/42/003

We examine the problem of damage spreading in the off-equilibrium mode coupling equations. The study is done for the spherical $p$-spin model introduced by Crisanti, Horner and Sommers. For $p>2$ we show the existence of a temperature transition $T_0$ well above any relevant thermodynamic transition temperature. Above $T_0$ the asymptotic damage decays to zero while below $T_0$ it decays to a finite value independent of the initial damage. This transition is stable in the presence of asymmetry in the interactions. We discuss the physical origin of this peculiar phase transition which occurs as a consequence of the non-linear coupling between the damage and the two-time correlation functions.

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