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Response of non-equilibrium systems at criticality: Exact results for the Glauber-Ising chain

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arxiv cond-mat/9911348 v1 pith:BEFBLML4 submitted 1999-11-22 cond-mat.stat-mech

C. Godreche , J.M. Luck This is my paper · ORCID
classification cond-mat.stat-mech
keywords agingchainfluctuation-dissipationnon-equilibriumratioregimeresponsetemperature
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abstract

We investigate the non-equilibrium two-time correlation and response functions and the associated fluctuation-dissipation ratio for the ferromagnetic Ising chain with Glauber dynamics. The scaling behavior of these quantities at low temperature and large times is studied in detail. This analysis encompasses the self-similar domain-growth (aging) regime, the spatial and temporal Porod regimes, and the convergence toward equilibrium. The fluctuation-dissipation ratio admits a non-trivial limit value $X_\infty=1/2$ at zero temperature, and more generally in the aging regime.

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Cited by 2 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 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.

  2. 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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