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arXiv · cond-mat/9510079

Phase space geometry and slow dynamics

Jorge Kurchan·Laurent Laloux
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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.

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Jorge Kurchan, Laurent Laloux. 1995-10-13. Phase space geometry and slow dynamics. https://doi.org/10.1088/0305-4470%2F29%2F9%2F009

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