Critical aging of a ferromagnetic system from a completely ordered state

Abstract

We adapt the non-linear $\sigma$ model to study the nonequilibrium critical dynamics of O(n) symmetric ferromagnetic system. Using the renormalization group analysis in $d=2+\epsilon$ dimensions we investigate the pure relaxation of the system starting from a completely ordered state. We find that the average magnetization obeys the long-time scaling behavior almost immediately after the system starts to evolve while the correlation and response functions demonstrate scaling behavior which is typical for aging phenomena. The corresponding fluctuation-dissipation ratio is computed to first order in $\epsilon$ and the relation between transverse and longitudinal fluctuations is discussed.

5 pages, revtex4

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Cited by in corpus (19)

• Relaxation phenomena at criticality
• Critical aging of Ising ferromagnets relaxing from an ordered state
• On the identification of quasiprimary scaling operators in local scale-invariance
• Static and dynamic properties of Single-Chain Magnets with sharp and broad domain walls
• Ageing, dynamical scaling and its extensions in many-particle systems without detailed balance
• Nonequilibrium critical dynamics with domain wall and surface
• Dynamic crossover in the global persistence at criticality
• Slow dynamics in critical ferromagnetic vector models relaxing from a magnetized initial state
• Absence of logarithmic scaling in the ageing behaviour of the 4D spherical model
• Short-time critical dynamics at perfect and non-perfect surface
• The role of initial conditions in the ageing of the long-range spherical model
• Random field and random anisotropy O(N) spin systems with a free surface
• Autocorrelation functions in phase-ordering kinetics from local scale-invariance
• Localization of spin waves in disordered quantum rotors
• Fluctuation-dissipation relations in critical coarsening: crossover from unmagnetized to magnetized initial states
• Critical Dynamics of the Antiferromagnetic $O(3)$ Nonlinear Sigma Model with Conserved Magnetization
• Relaxation Critical Dynamics with Emergent Symmetry
• Dynamic crossover in the persistence probability of manifolds at criticality
• Dynamic relaxation of topological defect at Kosterlitz-Thouless phase transition