Relaxation height in energy landscapes: an application to multiple metastable states
type: Item
instance of: scholarly article
title: Relaxation height in energy landscapes: an application to multiple metastable states
zbMATH Open document ID: 1273.82009
author: Francesca Romana Nardi
author: Emilio N. M. Cirillo
published in: Journal of Statistical Physics
publication date: 2013-05-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/1205.5647
review text: Lattice dynamics that is driven by the energy landscape, typically involves trajectories with a decreasing energy. The temperature parameter partially quantifies the reverse phenomenon of jumps against the energy drift. The smallness of the probability to execute such moves is controlled by the cost function. In the low temperature dynamics of the statistical mechanics lattice systems, in addition to the structure of the absolute minima of energy (ground states) one needs to estimate the maximal cost barrier, here called the relaxation height, to be overcome if the set of ground states is to be reached by starting from any possible state of the system. The paper addresses a fairly general optimization method aiming at an explicit computation of the relaxation height for models with multiple metastable states. Sufficient conditions to identify the metastable states are established. As a physical application, the Blume-Capel model for a particular magnetic system is considered. The transition time from the metastable states to the stable state is estimated in probability. The set of critical configurations is identified, that represent the minimal gate for the transition.
reviewed by: Piotr Garbaczewski
Mathematics Subject Classification ID: 82B20
Mathematics Subject Classification ID: 82C20
Mathematics Subject Classification ID: 82B05
Mathematics Subject Classification ID: 49K35
zbMATH DE Number: 6164082
zbMATH Keywords: energy landscape
zbMATH Keywords: relaxation
zbMATH Keywords: stability levels
zbMATH Keywords: multiple metastable states
zbMATH Keywords: cost barrier
zbMATH Keywords: minmax problems
zbMATH Keywords: optimization
zbMATH Keywords: lattice models
zbMATH Keywords: Blume-Capel model
MaRDI profile type: Publication
OpenAlex ID: W1819940747
arXiv ID: 1205.5647
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DOI: 10.1007/S10955-013-0717-9
description: scientific article