Coarsening in 3D Nonconserved Ising Model at Zero Temperature: Anomalies in structure and relaxation of order-parameter autocorrelation
arXiv:1707.09970 · doi:10.1209/0295-5075/119/50005
Abstract
Via Monte Carlo simulations we study pattern and aging during coarsening in nonconserved nearest neighbor Ising model, following quenches from infinite to zero temperature, in space dimension . The decay of the order-parameter autocorrelation function is observed to obey a power-law behavior in the long time limit. However, the exponent of the power-law, estimated accurately via a state-of-art method, violates a well-known lower bound. This surprising fact has been discussed in connection with a quantitative picture of the structural anomaly that the 3D Ising model exhibits during coarsening at zero temperature. These results are compared with those for quenches to a temperature above that of the roughening transition.
arXiv comment15 pages, 6 figures
References in corpus (13)
- Nontrivial Exponent for Simple Diffusion
- Logarithmically slow domain growth in nonrandomly frustrated systems: Ising models with competing interactions
- Two-time autocorrelation function in phase-ordering kinetics from local scale-invariance
- Zero-Temperature Relaxation of Three-Dimensional Ising Ferromagnets
- Response Functions in Phase Ordering Kinetics
- Zero-Temperature Freezing in Three-Dimensional Kinetic Ising Model
- Influence of thermal fluctuations on the geometry of the interfaces of the quenched Ising model
- Dimensionality Dependence of Aging in Kinetics of Diffusive Phase Separation: Behavior of order-parameter autocorrelation
- Persistence in the two dimensional ferromagnetic Ising model
- Effects of Density Conservation and Hydrodynamics on Aging in Nonequilibrium Processes
- Persistence in an antiferromagnetic Ising model with conserved magnetisation
- Fractality in Persistence Decay and Domain Growth during Ferromagnetic Ordering: Dependence upon initial correlation
- Kinetics of Ferromagnetic Ordering in 3D Ising Model: Do we understand the case of zero temperature quench?