Asymptotic behavior of a low-temperature non-cascading 2-GREM dynamics at extreme time scales
| Autor: | Fontes, Luiz Renato, Frómeta, Susana, Zuaznábar, Leonel |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Bernoulli. 28 |
| ISSN: | 1350-7265 |
| Popis: | We derive the scaling limit for the Hierarchical Random Hopping dynamics for the non cascading 2-GREM at low temperatures and time scales where the dynamics is close to equilibrium. The {\em fine tuning} phenomenon plays a role (under certain choices of parameters of the model), yielding three dynamical regimes. In contrast to the {\em cascading} case, the pairs of first and second level energies have fluctuations which scale with the volume, and this leads to a family of time scales where we see the dynamics moving through only a part of the full low temperature energy landscape. Comment: 36 pages |
| Databáze: | OpenAIRE |
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