Response Function of Coarsening Systems

Abstract

The response function of domain growth processes, and in particular the violation of the fluctuation-dissipation theorem, are studied both analytically and numerically. In the asymptotic limit of large times, the fluctuation-dissipation ratio $X$, which quantifies this violation, tends to one if $C>m^2$ and to zero if $C<m^2$, corresponding to the fast (`bulk') and slow (`domain-wall') responses, respectively. In this paper, we focus on the pre-asymptotic behavior of the domain-wall response. This response is shown to scale with the typical domain length $L(t)$ as $1/L(t)$ for dimension $d>2$, and as $\ln (L(t))/L(t)$ for $d=2$. Numerical results confirming this analysis are presented.

Cited by in corpus (63)

• Theoretical perspective on the glass transition and amorphous materials
• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• Ageing Properties of Critical Systems
• Phenomenology of local scale invariance: from conformal invariance to dynamical scaling
• Response of non-equilibrium systems at criticality: Ferromagnetic models in dimension two and above
• Response of non-equilibrium systems at criticality: Exact results for the Glauber-Ising chain
• Nonequilibrium critical dynamics of ferromagnetic spin systems
• Separation of time and length scales in spin-glasses: temperature as a microscope
• Nonequilibrium Critical Dynamics of the 2D XY model
• Off-equilibrium generalization of the fluctuation dissipation theorem for Ising spins and measurement of the linear response function
• A novel coarsening mechanism of droplets in immiscible fluid mixtures
• Aging, phase ordering and conformal invariance
• Nonequilibrium dynamics of random field Ising spin chains: exact results via real space RG
• Fluctuation-dissipation relations in the non-equilibrium critical dynamics of Ising models
• Slow relaxation in the large N model for phase ordering
• Two-loop Critical Fluctuation-Dissipation Ratio for the Relaxational Dynamics of the O(N) Landau-Ginzburg Hamiltonian
• Aging in ferromagnetic systems at criticality near four dimensions
• Interface fluctuations, bulk fluctuations and dimensionality in the off-equilibrium response of coarsening systems
• Two-time autocorrelation function in phase-ordering kinetics from local scale-invariance
• Local scale invariance as dynamical space-time symmetry in phase-ordering kinetics
• Inherent structures and non-equilibrium dynamics of 1D constrained kinetic models: a comparison study
• Nonequilibrium dynamics of urn models
• Scaling of the linear response function from zero field cooled and thermoremanent magnetization in phase ordering kinetics
• Fluctuation-Dissipation relations far from Equilibrium
• Phase separation in an homogeneous shear flow: Morphology, growth laws and dynamic scaling
• Scaling of the linear response in simple ageing systems without disorder
• Off equilibrium response function in the one dimensional random field Ising model
• Nonequilibrium critical dynamics of the ferromagnetic Ising model with Kawasaki dynamics
• On the identification of quasiprimary scaling operators in local scale-invariance
• Scaling of the magnetic linear response in phase-ordering kinetics
• Response Functions in Phase Ordering Kinetics
• Glass and polycrystal states in a lattice spin model
• Aging phenomena in critical semi-infinite systems
• Fluctuation-dissipation relations and field-free algorithms for the computation of response functions
• Extended droplet theory for aging in short-ranged spin glasses and a numerical examination
• Effective temperature in the quench of coarsening systems to and below $T_C$
• Glassy dynamics, metastability limit and crystal growth in a lattice spin model
• Phase separation in a chaotic flow
• Relaxation and overlap probability function in the spherical and mean spherical model
• Correction to scaling in the response function of the 2d kinetic Ising model
• Aging in the glass phase of a 2D random periodic elastic system
• 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
• Ageing, dynamical scaling and its extensions in many-particle systems without detailed balance
• Fluctuation-dissipation relations in plaquette spin systems with multi-stage relaxation
• Thermodynamics of a Tiling Model
• Aging dynamics of heterogeneous spin models
• Local scale invariance in the parity conserving nonequilibrium kinetic Ising model
• Is local scale invariance a generic property of ageing phenomena ?
• Dynamical Effects and Phase Separation in Thin Films
• On the scaling and ageing behaviour of the alternating susceptibility in spin glasses and local scale-invariance
• On a non-linear Fluctuation Theorem for the aging dynamics of disordered trap models
• Absence of aging in the remanent magnetization in Migdal-Kadanoff spin glasses
• Fluctuations and effective temperatures in coarsening
• Violation of the fluctuation-dissipation theorem and effective temperatures in spin ice
• Autocorrelation functions in phase-ordering kinetics from local scale-invariance
• Universal and anomalous behavior in the thermalization of strongly interacting harmonically trapped gas mixtures
• Physical ageing from generalised time-translation-invariance
• The non-equilibrium response of the critical Ising model: Universal scaling properties and Local Scale Invariance
• Dynamic heterogeneities in the out-of-equilibrium dynamics of simple spherical spin models
• Out-of-equilibrium thermodynamic relations in systems with aging and slow relaxation
• Non trivial behavior of the linear response function in phase ordering kinetics
• Enhancement of structural rearrangement in glassy systems under shear flow