Superdiffusion-like behavior in zero-temperature coarsening of the [Formula: see text] Ising model

Area of Science:

• Statistical Mechanics
• Condensed Matter Physics
• Computational Physics

Background:

• Coarsening dynamics are crucial after quenching materials below critical temperatures.
• Domain growth in the non-conserved Ising model is theoretically predicted to follow a power-law exponent.
• Previous studies reported discrepancies in observing this growth law in 3D models.

Purpose of the Study:

• To clarify the domain growth behavior in the 3D non-conserved Ising model after a zero-temperature quench.
• To investigate discrepancies between theoretical predictions and experimental observations of domain growth exponents.
• To explore potential causes for anomalous domain growth at later times.

Main Methods:

• Large-scale Monte Carlo simulations were performed on simple-cubic lattices.
• An efficient GPU implementation was utilized for enhanced computational speed.
• Lattice sizes up to [Formula: see text] were employed to ensure statistical significance.

Main Results:

• Domain sizes compatible with the predicted power-law growth were observed at late times.
• Surprisingly, superdiffusive domain growth with exponent [Formula: see text] was measured at even later times.
• The emergence of sponge-like structures at early times is proposed as a potential cause for the observed superdiffusive growth.

Conclusions:

• The study clarifies domain growth dynamics in the 3D non-conserved Ising model, reconciling some discrepancies.
• Anomalous superdiffusive growth at very late times is a novel finding, challenging previous understandings.
• Sponge-like structures emerging early in the coarsening process may significantly influence late-time dynamics.