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Updated: Jul 19, 2026

Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
Published on: May 15, 2017
Critical dynamics of phase transition driven by dichotomous Markov noise
Katsuya Ouchi1, Takehiko Horita, Hirokazu Fujisaka
1Kobe Design University, 8-1-1 Gakuennishi-machi, Kobe 651-2196, Japan. ouchi@kobe-du.ac.jp
Abstract:
An Ising spin system under the critical temperature driven by a dichotomous Markov noise (magnetic field) with a finite correlation time is studied both numerically and theoretically. The order parameter exhibits a transition between two kinds of qualitatively different dynamics, symmetry-restoring and symmetry-breaking motions, as the noise intensity is changed. There exist regions called channels where the order parameter stays for a long time slightly above its critical noise intensity. Developing a phenomenological analysis of the dynamics, we investigate the distribution of the passage time through the channels and the power spectrum of the order parameter evolution. The results based on the phenomenological analysis turn out to be in quite good agreement with those of the numerical simulation.
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