Nonequilibrium critical dynamics of the ferromagnetic Ising model with Kawasaki dynamics

Abstract

We investigate the temporal evolution of a ferromagnetic system of Ising spins evolving under Kawasaki dynamics from a random initial condition, in spatial dimensions one and two. We examine in detail the asymptotic behaviour of the two-time correlation and response functions. The linear response is measured without applying a field, using a recently proposed algorithm. For the chain at vanishingly small temperature, we introduce an accelerated dynamics which has the virtue of projecting the system into the asymptotic scaling regime. This allows us to revisit critically previous works on the behaviour at large time of the two-time autocorrelation and response functions. We also analyse the case of the two-dimensional system at criticality. A comparison with Glauber dynamics is performed in both dimensionalities, in order to underline the similarities and differences in the phenomenology of the two dynamics.

arXiv comment25 pages, 15 figures

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Cited by in corpus (23)

• Ageing Properties of Critical Systems
• On the definition of a unique effective temperature for non-equilibrium critical systems
• Off-equilibrium generalization of the fluctuation dissipation theorem for Ising spins and measurement of the linear response function
• Nonequilibrium critical dynamics of the ferromagnetic Ising model with Kawasaki dynamics
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• Aging phenomena in critical semi-infinite systems
• Glassy properties of the Kawasaki dynamics of two-dimensional ferromagnets
• Ageing and dynamical scaling in the critical Ising spin glass
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• Dynamics of the critical Casimir force for a conserved order parameter after a critical quench
• Critical Dynamics of Anisotropic Antiferromagnets in an External Field
• On the universal Gaussian behavior of Driven Lattice Gases at short-times
• Aging, memory and rejuvenation: some lessons from simple models
• Kinetics of phase-separation in the critical spherical model and local scale-invariance
• Accelerating Optimal Elemental Configuration Search in Crystal using Ising Machine
• Dynamical critical behavior of the two-dimensional three-state Potts model
• Critical domain-wall dynamics of model B
• Short-time dynamics in phase-ordering kinetics
• On non-local representations of the ageing algebra in $d\ge 1$ dimensions