Dynamical instantons and activated processes in mean-field glass models
| Autor: | Valentina Ros, Giulio Biroli, Chiara Cammarota |
|---|---|
| Přispěvatelé: | Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Systèmes Désordonnés et Applications, Laboratoire de physique de l'ENS - ENS Paris (LPENS), Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-Sorbonne Université (SU)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-Sorbonne Université (SU)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL), Laboratoire de physique de l'ENS - ENS Paris (LPENS (UMR_8023)), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Instanton
Gaussian QC1-999 General Physics and Astronomy FOS: Physical sciences 01 natural sciences Langevin dynamics 010305 fluids & plasmas symbols.namesake rough landscapes 0103 physical sciences Initial value problem Statistical physics 010306 general physics Saddle Condensed Matter - Statistical Mechanics Physics [PHYS]Physics [physics] Statistical Mechanics (cond-mat.stat-mech) activated dynamics activated dynamics rough landscapes instantons Langevin dynamics Energy landscape Disordered Systems and Neural Networks (cond-mat.dis-nn) Condensed Matter - Disordered Systems and Neural Networks Maxima and minima Mean field theory symbols instantons |
| Zdroj: | Ros, V, Biroli, G & Cammarota, C 2021, ' Dynamical instantons and activated processes in mean-field glass models ', SciPost Physics, vol. 10, no. 1, 002 . https://doi.org/10.21468/SCIPOSTPHYS.10.1.002 SciPost Physics, Vol 10, Iss 1, p 002 (2021) SciPost Physics SciPost Physics, SciPost Foundation, 2021, 10 (1), ⟨10.21468/SciPostPhys.10.1.002⟩ |
| ISSN: | 2542-4653 |
| Popis: | We focus on the energy landscape of a simple mean-field model of glasses and analyze activated barrier-crossing by combining the Kac-Rice method for high-dimensional Gaussian landscapes with dynamical field theory. In particular, we consider Langevin dynamics at low temperature in the energy landscape of the pure spherical $p$-spin model. We select as initial condition for the dynamics one of the many unstable index-1 saddles in the vicinity of a reference local minimum. We show that the associated dynamical mean-field equations admit two solutions: one corresponds to falling back to the original reference minimum, and the other to reaching a new minimum past the barrier. By varying the saddle we scan and characterize the properties of such minima reachable by activated barrier-crossing. Finally, using time-reversal transformations, we construct the two-point function dynamical instanton of the corresponding activated process. Comment: v3, conclusions extended and minor revisions |
| Databáze: | OpenAIRE |
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