Relaxation height in energy landscapes: an application to multiple metastable states

DOI10.1007/s10955-013-0717-9zbMath1273.82009arXiv1205.5647OpenAlexW1819940747MaRDI QIDQ1949780

Francesca R. Nardi, Emilio Nicola Maria Cirillo

Publication date: 17 May 2013

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

Full work available at URL: https://arxiv.org/abs/1205.5647

zbMATH Keywords

optimizationBlume-Capel modellattice modelsrelaxationenergy landscapeminmax problemscost barriermultiple metastable statesstability levels

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Optimality conditions for minimax problems (49K35)

Related Items (24)

Metastability for the Ising model on the hexagonal lattice ⋮ Hitting time asymptotics for hard-core interactions on grids ⋮ Critical droplets and sharp asymptotics for Kawasaki dynamics with weakly anisotropic interactions ⋮ Critical configurations and tube of typical trajectories for the Potts and Ising models with zero external field ⋮ Metastability of Blume-Capel model with zero chemical potential and zero external field ⋮ Metastability for the degenerate Potts model with negative external magnetic field under Glauber dynamics ⋮ Metastability of the two-dimensional Blume-Capel model with zero chemical potential and small magnetic field ⋮ Overview: PCA Models and Issues ⋮ Metastable distributions of Markov chains with rare transitions ⋮ Metastable Markov chains ⋮ Metastability for general dynamics with rare transitions: escape time and critical configurations ⋮ Ising model on clustered networks: a model for opinion dynamics ⋮ A continuum model for morphology formation from interacting ternary mixtures: simulation study of the formation and growth of patterns ⋮ Metastability of the three-state Potts model with general interactions ⋮ Metastability of the Ising model on random regular graphs at zero temperature ⋮ Metastable Markov chains: from the convergence of the trace to the convergence of the finite-dimensional distributions ⋮ Metastability of hard-core dynamics on bipartite graphs ⋮ Metastability of the two-dimensional Blume-Capel model with zero chemical potential and small magnetic field on a large torus ⋮ Tunneling behavior of Ising and Potts models in the low-temperature regime ⋮ Effect of energy degeneracy on the transition time for a series of metastable states. Application to probabilistic cellular automata ⋮ Nucleation for one-dimensional long-range Ising models ⋮ 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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