Self-propelled nonlinearly diffusing particles: Aggregation and continuum description.
نویسنده
چکیده
We introduce a model of self-propelled particles carrying out a Brownian motion with a diffusion coefficient which depends on the local density of particles within a certain finite radius. Numerical simulations show that in a range of parameters the long-time spatial distribution of particles is nonhomogeneous, and clusters can be observed. A number density equation, which explains the emergence of the aggregates and indicates the values of the parameters for which they appear, is derived. Numerical results of this continuum density equation are also shown.
منابع مشابه
1 4 N ov 2 00 5 Self - propelled non - linearly diffusing particles . Aggregation and continuum description
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ورودعنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 72 6 Pt 1 شماره
صفحات -
تاریخ انتشار 2005