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Phase ordering kinetics of the long-range Ising model

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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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2025 1

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UNVERDICTED 1

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Schr\"odinger-invariance in phase-ordering kinetics

cond-mat.stat-mech · 2025-11-04 · unverdicted · novelty 6.0

Derives generic forms of single- and two-time correlators in z=2 phase-ordering kinetics from covariance under a new non-equilibrium Schrödinger algebra representation.

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  • Schr\"odinger-invariance in phase-ordering kinetics cond-mat.stat-mech · 2025-11-04 · unverdicted · none · ref 10 · internal anchor

    Derives generic forms of single- and two-time correlators in z=2 phase-ordering kinetics from covariance under a new non-equilibrium Schrödinger algebra representation.