Low-temperature nucleation in a kinetic Ising model with soft stochastic dynamics

Abstract

We study low-temperature nucleation in kinetic Ising models by analytical and simulational methods, confirming the general result for the average metastable lifetime, <tau> = A*exp(beta*Gamma) (beta = 1/kT) [E. Jordao Neves and R.H. Schonmann, Commun. Math. Phys. 137, 209 (1991)]. Contrary to common belief, we find that both A and Gamma depend significantly on the stochastic dynamic. In particular, for a ``soft'' dynamic, in which the effects of the interactions and the applied field factorize in the transition rates, Gamma does NOT simply equal the energy barrier against nucleation, as it does for the standard Glauber dynamic, which does not have this factorization property.

4 pages RevTex4, 2 figures. Phys. Rev. Lett., in press

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• Nanostructure and velocity of field-driven solid-on-solid interfaces moving under a phonon-assisted dynamic
• Field-driven solid-on-solid interfaces moving under a stochastic Arrhenius dynamic: effects of the barrier height
• Transition rates for a S \ge 1 model coupled to a phonon bath
• A rejection-free Monte Carlo method for the hard-disk system
• Efficiency of Rejection-Free Methods for Dynamic Monte Carlo Studies of Off-lattice Interacting Particles
• Dynamical phase transitions in $XY$ model: a Monte Carlo and mean-field theory study
• Efficiency of Rejection-free dynamic Monte Carlo methods for homogeneous spin models, hard disk systems, and hard sphere systems
• Nucleation of Spatio-Temporal Structures From Defect Turbulence in the Two-dimensional Complex Ginzburg-Landau Equation
• Applications of Computer Simulations and Statistical Mechanics in Surface Electrochemistry
• Quantum approach to nucleation times of kinetic Ising ferromagnets
• Effective Hamiltonian approach to kinetic Ising models: Application to an infinitely long-range Husimi-Temperley model
• Stochastic Resonance and Dynamic First-Order Pseudo-Phase Transitions in the Irreversible Growth of Thin Films under Spatially Periodic Magnetic Fields