Coarsening in 3D Nonconserved Ising Model at Zero Temperature: Anomalies in structure and relaxation of order-parameter autocorrelation

TL;DR

This study uses Monte Carlo simulations to analyze coarsening and aging in a 3D nonconserved Ising model at zero temperature, revealing anomalies in autocorrelation decay and structural behavior.

Contribution

It uncovers unexpected violations of autocorrelation decay bounds and links structural anomalies to coarsening dynamics in 3D Ising models at zero temperature.

Findings

Autocorrelation function follows a power-law decay with an anomalous exponent.

The exponent violates a known lower bound, indicating unusual coarsening behavior.

Structural anomalies are linked to the observed autocorrelation decay violations.

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 $d=3$. 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.