Asymptotic exponential law for the transition time to equilibrium of the metastable kinetic Ising model with vanishing magnetic field

DOI10.1007/s10955-019-02463-5zbMath1437.82015arXiv1809.07044OpenAlexW3102780827WikidataQ115603722 ScholiaQ115603722MaRDI QIDQ2175119

Paolo Milanesi, Alexandre Gaudillière, Maria Eulália Vares

Publication date: 28 April 2020

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07044

zbMATH Keywords

relaxation timepotential theorymetastabilityGlauber dynamicsexponential lawquasi-stationary measures

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Continuous-time Markov processes on discrete state spaces (60J27) Statistical mechanics of magnetic materials (82D40) Dynamic critical phenomena in statistical mechanics (82C27) Jump processes on general state spaces (60J76)

Related Items (8)

Critical droplets and sharp asymptotics for Kawasaki dynamics with weakly anisotropic interactions ⋮ On soft capacities, quasi-stationary distributions and the pathwise approach to metastability ⋮ Metastability: A Brief Introduction Through Three Examples ⋮ Metastability in a continuous mean-field model at low temperature and strong interaction ⋮ Effect of energy degeneracy on the transition time for a series of metastable states. Application to probabilistic cellular automata ⋮ Metastability in a lattice gas with strong anisotropic interactions under Kawasaki dynamics ⋮ Metastability for Kawasaki dynamics on the hexagonal lattice ⋮ Critical droplets and sharp asymptotics for Kawasaki dynamics with strongly anisotropic interactions

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