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

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

1999-11-22

arxiv.org/abs/cond-mat/9911348v1

Journal of Physics A 33 (2000) 1151

Physics

Condensed Matter

Statistical Mechanics

27 pages. 3 figures. To appear in Journal of Physics A

Scientific paper

10.1088/0305-4470/33/6/305

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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