Phase space geometry and slow dynamics
arXiv:cond-mat/9510079 · doi:10.1088/0305-4470/29/9/009
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