Aging at Criticality in Model C Dynamics

Abstract

We study the off-equilibrium two-point critical response and correlation functions for the relaxational dynamics with a coupling to a conserved density (Model C) of the O(N) vector model. They are determined in an ε=4-d expansion for vanishing momentum. We briefly discuss their scaling behaviors and the associated scaling forms are determined up to first order in epsilon. The corresponding fluctuation-dissipation ratio has a non trivial large time limit in the aging regime and, up to one-loop order, it is the same as that of the Model A for the physically relevant case N=1. The comparison with predictions of local scale invariance is also discussed.

13 pages, 1 figure

References in corpus (4)

• Two-loop Critical Fluctuation-Dissipation Ratio for the Relaxational Dynamics of the O(N) Landau-Ginzburg Hamiltonian
• Aging and fluctuation-dissipation ratio for the diluted Ising Model
• Late stages of coarsening in model C
• Competition between dynamic and thermal relaxation in non-equilibrium spin systems above the critical point

Cited by in corpus (18)

• Ageing Properties of Critical Systems
• On the definition of a unique effective temperature for non-equilibrium critical systems
• Local scale-invariance and ageing in noisy systems
• Fluctuation-dissipation relations in the non-equilibrium critical dynamics of Ising models
• Scaling of the linear response function from zero field cooled and thermoremanent magnetization in phase ordering kinetics
• On universality in aging ferromagnets
• Critical aging of Ising ferromagnets relaxing from an ordered state
• Ageing phenomena without detailed balance: the contact process
• Universal aging properties at a disordered critical point
• Ageing in the critical contact process: a Monte Carlo study
• Dynamic universality class of Model C from the functional renormalization group
• Test of Local Scale Invariance from the direct measurement of the response function in the Ising model quenched to and to below $T_C$
• Slow dynamics in critical ferromagnetic vector models relaxing from a magnetized initial state
• The kinetic spherical model in a magnetic field
• Physical ageing from generalised time-translation-invariance
• On the predictive power of Local Scale Invariance
• Short-time dynamics in phase-ordering kinetics
• Strain Fields and Critical Phenomena in Manganites II: Spin-Lattice-Energy Hamiltonians