Local scale invariance as dynamical space-time symmetry in phase-ordering kinetics
arXiv:cond-mat/0302482 · doi:10.1103/PhysRevE.68.065101
Abstract
The scaling of the spatio-temporal response of coarsening systems is studied through simulations of the 2D and 3D Ising model with Glauber dynamics. The scaling functions agree with the prediction of local scale invariance, extending dynamical scaling to a space-time dynamical symmetry.
Latex, 4 pages, 4 figures
References in corpus (4)
Cited by in corpus (42)
- Ageing Properties of Critical Systems
- Local scale-invariance and ageing in noisy systems
- Supersymmetric extensions of Schrödinger-invariance
- Two-time autocorrelation function in phase-ordering kinetics from local scale-invariance
- Ageing in disordered magnets and local scale-invariance
- Symmetry based determination of space-time functions in nonequilibrium growth processes
- 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
- Ageing phenomena without detailed balance: the contact process
- Scaling Behavior of Response Functions in the Coarsening Dynamics of Disordered Ferromagnets
- Aging phenomena in critical semi-infinite systems
- Corrections to local scale invariance in the non-equilibrium dynamics of critical systems: numerical evidences
- Ageing in the critical contact process: a Monte Carlo study
- Dynamical symmetries of semi-linear Schrödinger and diffusion equations
- Ageing, dynamical scaling and its extensions in many-particle systems without detailed balance
- Kinetics of the long-range spherical model
- Domain growth and aging scaling in coarsening disordered systems
- Ageing and dynamical scaling in the critical Ising spin glass
- The multiple symmetry sustaining phase transitions of spin ice
- From dynamical scaling to local scale-invariance: a tutorial
- Quasi-deterministic dynamics, memory effects, and lack of self-averaging in the relaxation of quenched ferromagnets
- Is local scale invariance a generic property of ageing phenomena ?
- On the scaling and ageing behaviour of the alternating susceptibility in spin glasses and local scale-invariance
- Logarithmic Exotic Conformal Galilean Algebras
- Kinetics of Ferromagnetic Ordering in 3D Ising Model: Do we understand the case of zero temperature quench?
- Physical ageing from generalised time-translation-invariance
- The non-equilibrium response of the critical Ising model: Universal scaling properties and Local Scale Invariance
- Non-equilibrium relaxations: ageing and finite-size effects
- Equilibrium and non-equilibrium properties of synthetic metamagnetic films: A Monte Carlo study
- Local aging phenomena close to magnetic surfaces
- Growth Kinetics and Aging Phenomena in a Frustrated System
- Lie symmetries of semi-linear Schrödinger equations and applications
- Aging following a zero-temperature quench in the Ising model
- On the predictive power of Local Scale Invariance
- Ageing in homogeneous systems at criticality
- Effects of Frustration on Fluctuation-dissipation Relations
- Ageing, dynamical scaling and conformal invariance
- Self-overlap as a method of analysis in Ising models
- Ageing without detailed balance: local scale invariance applied to two exactly solvable models
- Short-time dynamics in phase-ordering kinetics
- Dynamical space-time symmetry for ageing far from equilibrium