Metastability, nucleation, and noise-enhanced stabilization out of equilibrium

Abstract

We study metastability and nucleation in a kinetic two-dimensional Ising model which is driven out of equilibrium by a small random perturbation of the usual dynamics at temperature T. We show that, at a mesoscopic/cluster level, a nonequilibrium potential describes in a simple way metastable states and their decay. We thus predict noise-enhanced stability of the metastable phase and resonant propagation of domain walls at low T. This follows from the nonlinear interplay between thermal and nonequilibrium fluctuations, which induces reentrant behavior of the surface tension as a function of T. Our results, which are confirmed by Monte Carlo simulations, can be also understood in terms of a Langevin equation with competing additive and multiplicative noises.

arXiv comment4 pages, 4 figs, published version

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• Effects of Lévy noise on the dynamics of sine-Gordon solitons in long Josephson junctions
• Stability measures in metastable states with Gaussian colored noise
• Homogeneous nucleation under shear in a two-dimensional Ising model: cluster growth, coalescence and breakup
• Lévy noise effects on Josephson junctions
• Breather dynamics in a stochastic sine-Gordon equation: evidence of noise-enhanced stability
• Enhancement of stability of metastable states in the presence of Lévy noise
• Demagnetization via Nucleation of the Nonequilibrium Metastable Phase in a Model of Disorder
• Noise-Assisted Metastability: From Lévy Flights to Memristors, Quantum Escape, and Josephson-based Axion Searches