Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1999-04-15
Physics
Condensed Matter
Disordered Systems and Neural Networks
18 pages, 2 figures
Scientific paper
10.1103/PhysRevB.60.6412
We develop a general technique to calculate the probability of transitions over the barriers in spin-glasses in the framework of the dynamical theory. We use Lagrangian formulation of the instanton dynamics in which the transitions are represented by instantons. We derive the full set of the equations that determine the instantons but instead of solving them directly we prove that an instanton process can be mapped into a usual process going back in time which simplifies the problem significantly. We apply this general considerations to a simple example of the spherical Sherrington-Kirkpatrick model and we find the probability of the transition between the metastable states which is in agreement with physical expectations.
Ioffe Lev B.
Lopatin Andrei V.
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