October 3, 2025Physical Review ResearchOpen Access

Nonconserved critical dynamics of the two-dimensional Ising model as a surface kinetic roughening process

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Glauber dynamics was utilized to explore surface kinetic roughening in the two-dimensional Ising model, with significant findings on initial conditions.
Critical dynamics depend on initial states, where ordered-phase quenches exhibit Family-Vicsek scaling and disordered quenches show anomalous roughening.
An interface model, based on the time-dependent Ginzburg-Landau equation, was developed to analyze fluctuation statistics effectively.
Findings suggest nonlinear interactions stabilize dynamics, highlighting the complexity of critical phenomena and roughening processes.

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Numerical simulations reveal dynamic scaling ansatz in the Ising model, suggesting insights into roughening and equilibrium behavior.

Pino et al. (2025) studied this question.

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