Phase space geometry and slow dynamics

Abstract

We describe a non-Arrhenius mechanism for slowing down of dynamics that is inherent to the high dimensionality of the phase space. We show that such a mechanism is at work both in a family of mean-field spin-glass models without any domain structure and in the case of ferromagnetic domain growth. The marginality of spin-glass dynamics, as well as the existence of a `quasi equilibrium regime' can be understood within this scenario. We discuss the question of ergodicity in an out-of equilibrium situation.

23 pages, ReVTeX3.0, 6 uuencoded postscript figures appended

References in corpus (3)

• Theory of Phase Ordering Kinetics
• Aging on Parisi's tree
• Full dynamical solution for a spherical spin-glass model

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