Effective temperature in the quench of coarsening systems to and below $T_C$

Abstract

We overview the general scaling behavior of the effective temperature in the que nches of simple non disordered systems, like ferromagnets, to and below $T_C$. Emphasis is on the behavior as d imensionality is varied. Consequences on the shape of the asymptotic parametric representation are derived. In particu lar, this is always trivial in the critical quenches with $T_C>0$. We clarify that the quench to $T_C=0$ at the lower critical dimensionality $d_L$, cannot be regarded as a critical quench. Implications for the behavior of the exponent $a$ of the aging response function in the quenches below $T_C$ are developed.

22 pages, 7 figures. To be published on Jstat

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Cited by in corpus (25)

• Ageing Properties of Critical Systems
• Growing correlations and aging of an elastic line in a random potential
• Critical aging of Ising ferromagnets relaxing from an ordered state
• Fluctuations in the coarsening dynamics of the O(N) model: are they similar to those in glassy systems?
• Fluctuation-dissipation relations and field-free algorithms for the computation of response functions
• Scaling and universality in the aging kinetics of the two-dimensional clock model
• Coarsening in inhomogeneous systems
• Correction to scaling in the response function of the 2d kinetic Ising model
• Test of Local Scale Invariance from the direct measurement of the response function in the Ising model quenched to and to below $T_C$
• Dynamics of the directed Ising chain
• Aging dynamics and the topology of inhomogenous networks
• Ageing at the Spin-Glass/Ferromagnet Transition: Monte Carlo Simulation using GPUs
• Slow dynamics in critical ferromagnetic vector models relaxing from a magnetized initial state
• Dynamic fluctuations in unfrustrated systems: random walks, scalar fields and the Kosterlitz-Thouless phase
• Coarsening and metastability of the long-range voter model in three dimensions
• The non-equilibrium response of the critical Ising model: Universal scaling properties and Local Scale Invariance
• Fluctuations of two-time quantities and non-linear response functions
• Fluctuation relations in non-equilibrium stationary states of Ising models
• Effective temperatures for single particle system under dichotomous noise
• Non-equilibrium critical properties of the Ising model on product graphs
• Growth Kinetics and Aging Phenomena in a Frustrated System
• Condensation and equilibration in an urn model
• Complex phase-ordering of the one-dimensional Heisenberg model with conserved order parameter
• Heat exchanges in coarsening systems
• Effects of Frustration on Fluctuation-dissipation Relations