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Ordering process in the kinetic Ising model on the honeycomb lattice

1993/09/01 by Hiroshi Takano, Seiji Miyashita · 1 citation
Materials Science · Physics and Astronomy · #Block Copolymer Self-Assembly #Material Dynamics and Properties #Theoretical and Computational Physics

paper · doi:10.1103/physrevb.48.7221

openalex publication_date 1993/09/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

The ordering process after quenching from infinite temperature is studied in the kinetic Ising model on the honeycomb lattice below the critical temperature by means of Monte Carlo simulations. Because of the presence of metastable droplets on the honeycomb lattice, the time scale of ordering becomes very long at low temperatures. Due to the metastability, the time evolution of magnetization per site, m(t), seems to be scaled by a characteristic time scale exp(2K)L^\mathrm\ensuremath-2t for large L. Here, K, L, and t denote the nearest-neighbor coupling divided by the temperature, the linear dimension of the system, and the time after the quenching, respectively.

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