On the spectral gap of spherical spin glass dynamics. (English. French summary) Zbl 1435.82025
The authors study the timescales to equilibrium for spherical \(p\)-spin glass model of system size \(N\). It is proved that the log-Sobolev constant and spectral gap are of order 1 at sufficiently high temperatures. The spectral gap decays exponentially in \(N\) at sufficiently low temperatures.
Reviewer: Utkir A. Rozikov (Tashkent)
MSC:
| 82C44 | Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics |
| 82D30 | Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) |
| 82C26 | Dynamic and nonequilibrium phase transitions (general) in statistical mechanics |
| 82B44 | Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics |
| 82C31 | Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics |
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