کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
978362 1480195 2007 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
New aspects of the continuous phase transition in the scalar noise model (SNM) of collective motion
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
New aspects of the continuous phase transition in the scalar noise model (SNM) of collective motion
چکیده انگلیسی

In this paper we present our detailed investigations on the nature of the phase transition in the scalar noise model (SNM) of collective motion. Our results confirm the original findings of Vicsek et al. [Phys. Rev. Lett. 75 (1995) 1226] that the disorder–order transition in the SNM is a continuous, second order phase transition for small particle velocities (v⩽0.1)(v⩽0.1). However, for large velocities (v⩾0.3)(v⩾0.3) we find a strong anisotropy in the particle diffusion in contrast with the isotropic diffusion for small velocities. The interplay between the anisotropic diffusion and the periodic boundary conditions leads to an artificial symmetry breaking of the solutions (directionally quantized density waves) and a consequent first order transition like behavior. Thus, it is not possible to draw any conclusion about the physical behavior in the large particle velocity regime of the SNM.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 373, 1 January 2007, Pages 445–454
نویسندگان
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