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.
Response of non-equilibrium systems at criticality: Exact results for the Glauber-Ising chain
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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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Schr\"odinger-invariance in non-equilibrium critical dynamics
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.