2024/10/17 by Soumik Ghosh, Ghosh, Soumik, Subir K. Das +1 · 1 citation
Physics and Astronomy · #Complex Network Analysis Techniques #FOS: Physical sciences #Opinion Dynamics and Social Influence #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2410.13447
openalex publication_date 2024/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
While the kinetics of domain growth, even for conserved order-parameter dynamics, is widely studied for short-range inter-particle interactions, systems having long-range interactions are receiving attention only recently. Here we present results, for such dynamics, from a Monte Carlo (MC) study of the two-dimensional long-range Ising model, with critical compositions of up and down spins. The order parameter in the MC simulations was conserved via the incorporation of the Kawasaki spin-exchange method. The simulation results for domain growth, following quenches of the homogeneous systems to temperatures below the critical values Tc, were analyzed via finite-size scaling and other advanced methods. The outcomes reveal that the growths follow power-laws, with the exponent having interesting dependence on the range of interaction. Quite interstingly, when the range is above a cut-off, the exponent, for any given range, changes from a larger value to a smaller one, during the evolution process. While the corresponding values at late times match with certain theoretical predictions for the conserved order-parameter dynamics, the ones at the early times appear surprisingly high, quite close to the theoretical values for the nonconserved case.