Phase ordering kinetics of the long-range Ising model

Abstract

We use an efficient method that eases the daunting task of simulating dynamics in spin systems with long-range interaction. Our Monte Carlo simulations of the long-range Ising model for the nonequilibrium phase ordering dynamics in two spatial dimensions erform significantly faster than the standard Metropolis approach and considerably more efficiently than the kinetic Monte Carlo method. Importantly, this enables us to establish agreement with the theoretical prediction for the time dependence of domain growth, in contrast to previous numerical studies. This method can easily be generalized to applications in other systems.

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• Zero-Temperature Coarsening in the Two-Dimensional Long-Range Ising Model
• Understanding nonequilibrium scaling laws governing collapse of a polymer
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• Quasi-deterministic dynamics, memory effects, and lack of self-averaging in the relaxation of quenched ferromagnets
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• Kinetics of the one-dimensional voter model with long-range interactions
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• Non-thermal breaking of magnetic order via photo-generated spin defects
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• Aging properties of the voter model with long-range interactions
• Non-equilibrium relaxations: ageing and finite-size effects
• Ordering kinetics with long-range interactions: interpolating between voter and Ising models
• Superdiffusion-like behavior in zero-temperature coarsening of the $d=3$ Ising model
• Monte Carlo Simulation of Long Hard-Sphere Polymer Chains in Two to Five Dimensions
• Coarsening in the Persistent Voter Model: analytical results
• Disentangling Growth and Decay of Domains During Phase Ordering
• Critical dynamics of long range models on Dynamical Lévy Lattices
• Universal Quench Dynamics of an Open Quantum System
• Dipolar Ising Model: Phases, Growth Laws and Universality
• Correlators in phase-ordering from Schrödinger-invariance
• Quantum Phase Transitions in Long-Range Interacting Hyperuniform Spin Chains in a Transverse Field
• Domain Growth in Long-range Ising Models with Disorder