Scaling of the magnetic linear response in phase-ordering kinetics

Abstract

The scaling of the thermoremanent magnetization and of the dissipative part of the non-equilibrium magnetic susceptibility is analysed as a function of the waiting-time $s$ for a simple ferromagnet undergoing phase-ordering kinetics after a quench into the ferromagnetically ordered phase. Their scaling forms describe the cross-over between two power-law regimes governed by the non-equilibrium exponents $a$ and ${\lambda }_R/z$, respectively. A relation between $a$, the dynamical exponent $z$ and the equilibrium exponent $\eta$ is derived from scaling arguments. Explicit tests in the Glauber-Ising model and the kinetic spherical model are presented.

arXiv comment7 pages, 2 figures included, needs epl.cls, version to appear in Europhys. Lett

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• Scaling of the linear response function from zero field cooled and thermoremanent magnetization in phase ordering kinetics
• Scaling of the linear response in simple ageing systems without disorder
• Growth Law and Superuniversality in the Coarsening of Disordered Ferromagnets
• Superuniversality in phase-ordering disordered ferromagnets
• Scaling Behavior of Response Functions in the Coarsening Dynamics of Disordered Ferromagnets
• Ageing phenomena without detailed balance: the contact process
• Corrections to local scale invariance in the non-equilibrium dynamics of critical systems: numerical evidences
• Aging phenomena in critical semi-infinite systems
• Ageing, dynamical scaling and its extensions in many-particle systems without detailed balance
• Domain growth and aging scaling in coarsening disordered systems
• From dynamical scaling to local scale-invariance: a tutorial
• The kinetic spherical model in a magnetic field
• Out-of-equilibrium properties of the semi-infinite kinetic spherical model
• On the scaling and ageing behaviour of the alternating susceptibility in spin glasses and local scale-invariance
• Autocorrelation functions in phase-ordering kinetics from local scale-invariance
• Physical ageing from generalised time-translation-invariance
• Reply to "Comment on 'Scaling of the linear response in simple ageing systems without disorder' "
• Local aging phenomena close to magnetic surfaces
• Growth Kinetics and Aging Phenomena in a Frustrated System
• Effects of Frustration on Fluctuation-dissipation Relations
• Criticality in multicomponent spherical models : results and cautions
• Ageing without detailed balance: local scale invariance applied to two exactly solvable models
• Dynamical space-time symmetry for ageing far from equilibrium