Cooperative Phenomena in Two-Dimensional Active Rotator Systems : Condensed Matter and Statistical Physics
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概要
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Phase transitions of active rotator systems with short-range coupling are discussed. the constituents of the system which we call active rotators are represented by a phase model of a limit-cycle oscillator or an excitable element, i.e., dφ/dt=ω-bsinφ,(|ω/b|≷1). The rotators are subject to noises, and ferromagnetic type coupling is assumed between them. The effect of infinitesimal noises on a perfectly ordered motion is examined for various spatial dimensions by using a linear approximation. As a result, a macroscopic in-phase oscillation throughout the system turned out impossible for 1 and 2 dimensions, but possible for 3 dimensions. An interesting feature expected for a two-dimensional system is that there is a finite parameter region where characteristic length scale is absent. In order to see the latter feature in more detail, we performed a Langevin simulation for a two-dimensional system, and confirmed the existence of a Kosterlitz-Thouless type parameter region.
- 理論物理学刊行会の論文
- 1986-06-25
著者
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Kuramoto Y
Kyoto Univ. Kyoto Jpn
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Kuramoto Yoshiki
Department Of Mathematics Graduate School Of Science Hokkaido University
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Shinomoto Shigeru
Research Institute For Fundamental Physics Kyoto University
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KURAMOTO Yoshiki
Department of Physics, Faculty of Science, Kyushu University
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