期刊
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
卷 157, 期 -, 页码 111-122出版社
SPRINGER HEIDELBERG
DOI: 10.1140/epjst/e2008-00634-x
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A mean-field approach (MFA) is proposed for the analysis of orientational order in a two-dimensional system of stochastic self-propelled particles interacting by local velocity alignment mechanism. The treatment is applied to the cases of ferromagnetic (F) and liquid-crystal (LC) alignment. In both cases, MFA yields a second order phase transition for a critical noise strength and a scaling exponent of 1/2 for the respective order parameters. We find that the critical noise amplitude eta(c) at which orientational order emerges in the LC case is smaller than in the F-alignment case, i.e. eta(LC)(C) < eta(F)(C). A comparison with simulations of individual-based models with F- resp. LC-alignment shows that the predictions about the critical behavior and the qualitative relation between the respective critical noise amplitudes are correct.
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