Dynamics for Spherical Spin Glasses: Disorder Dependent Initial Conditions
| العنوان: | Dynamics for Spherical Spin Glasses: Disorder Dependent Initial Conditions |
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| المؤلفون: | Eliran Subag, Amir Dembo |
| المصدر: | Journal of Statistical Physics. 181:465-514 |
| بيانات النشر: | Springer Science and Business Media LLC, 2020. |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Physics, Spin glass, Probability (math.PR), Dynamics (mechanics), Structure (category theory), Statistical and Nonlinear Physics, 01 natural sciences, 010305 fluids & plasmas, symbols.namesake, 0103 physical sciences, Thermodynamic limit, FOS: Mathematics, symbols, Statistical physics, Gibbs measure, 010306 general physics, Langevin dynamics, Mathematics - Probability, Mathematical Physics |
| الوصف: | We derive the thermodynamic limit of the empirical correlation and response functions in the Langevin dynamics for spherical mixed $p$-spin disordered mean-field models, starting uniformly within one of the spherical bands on which the Gibbs measure concentrates at low temperature for the pure $p$-spin models and mixed perturbations of them. We further relate the large time asymptotics of the resulting coupled non-linear integro-differential equations, to the geometric structure of the Gibbs measures (at low temperature), and derive their FDT solution (at high temperature). Comment: To appear in J. Stat. Phys |
| تدمد: | 1572-9613 0022-4715 |
| DOI: | 10.1007/s10955-020-02587-z |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a168f549f872e1593e12048440385ac7 https://doi.org/10.1007/s10955-020-02587-z |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....a168f549f872e1593e12048440385ac7 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 15729613 00224715 |
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| DOI: | 10.1007/s10955-020-02587-z |