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Nonequilibrium critical dynamics of ferromagnetic spin systems

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arxiv cond-mat/0109212 v1 pith:6TI37JOL submitted 2001-09-12 cond-mat.stat-mech

classification cond-mat.stat-mech
keywords dynamicsnonequilibriumcriticalmodelsystemsarbitrarydimensiondimensions
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We use simple models (the Ising model in one and two dimensions, and the spherical model in arbitrary dimension) to put to the test some recent ideas on the slow dynamics of nonequilibrium systems. In this review the focus is on the temporal evolution of two-time quantities and on the violation of the fluctuation-dissipation theorem, with special emphasis given to nonequilibrium critical dynamics.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Schr\"odinger-invariance in phase-ordering kinetics

    cond-mat.stat-mech 2025-11 unverdicted novelty 6.0 of 10

    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.

  2. Schr\"odinger-invariance in non-equilibrium critical dynamics

    cond-mat.stat-mech 2025-10 unverdicted novelty 6.0 of 10

    Scaling functions for correlators in non-equilibrium critical dynamics with z=2 are predicted from a new time-dependent non-equilibrium Schrödinger algebra representation and confirmed in exactly solvable ageing models.

  3. Physical ageing from generalised time-translation-invariance

    cond-mat.stat-mech 2025-04 conditional novelty 5.0 of 10

    A single time-dependent symmetry transformation is claimed to explain the known scaling phenomenology of physical ageing and to predict new finite-size plateau scalings.

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