Kinetic limit for a system of coagulating planar Brownian particles

被引：0

作者：

Hammond, Alan ^{[1
]}

Rezakhanlou, Fraydoun

机构：

[1] Univ Calif Berkeley, Dept Stat, Berkeley, CA 94720 USA

[2] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 2006年 / 124卷 / 2-4期

基金：

美国国家科学基金会;

关键词：

coagulation; Interacting Particle Systems; Planar Brownian Motion; Smoluchowski's Equation;

D O I：

10.1007/s10955-005-0105-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a model of mass-bearing coagulating planar Brownian particles. The coagulation occurs when two particles are within a distance of order epsilon. We assume that the initial number of particles N is of order |log epsilon|. Under suitable assumptions of the initial distribution of particles and the microscopic coagulation propensities, we show that the macroscopic particle densities satisfy a Smoluchowski-type equation.

引用

页码：997 / 1040

页数：44

共 50 条

[11] THE BROWNIAN MAP: A UNIVERSAL LIMIT FOR RANDOM PLANAR MAPS
Le Gall, J. -F.
XVIITH INTERNATIONAL CONGRESS ON MATHEMATICAL PHYSICS, 2014, : 420 - 428
[12] MEAN FIELD LIMIT IN A GENERALIZED GIBBS SYSTEM AND THE EQUIVALENT NONEQUILIBRIUM SYSTEM OF INTERACTING BROWNIAN PARTICLES
SKRIPNIK, VI
THEORETICAL AND MATHEMATICAL PHYSICS, 1988, 76 (01) : 734 - 746
[13] Kinetic coefficients for the deposition of Brownian particles in a filter
Kazenin, D.A.
Zhejiang Daxue Xuebao (Ziran Kexue Ban)/Journal of Zhejiang University (Natural Science Edition), 1998, 32 (05): : 35 - 38
[14] KINETIC-EQUATIONS OF INTERACTING BROWNIAN PARTICLES
RUDYAK, V
ERSHOV, I
PHYSICA A, 1995, 219 (3-4): : 351 - 360
[15] Diffusive Limit of a Two Dimensional Kinetic System of Partially Quantized Particles
Nicolas Vauchelet
Journal of Statistical Physics, 2010, 139 : 882 - 914
[16] Diffusive Limit of a Two Dimensional Kinetic System of Partially Quantized Particles
Vauchelet, Nicolas
JOURNAL OF STATISTICAL PHYSICS, 2010, 139 (05) : 882 - 914
[17] A WEAK LIMIT SHAPE THEOREM FOR PLANAR ISOTROPIC BROWNIAN FLOWS
Van Bargen, Holger
STOCHASTICS AND DYNAMICS, 2011, 11 (04) : 593 - 626
[18] Noise-induced transitions in a system of coagulating particles
Loginov, VM
Leshakov, OÉ
TECHNICAL PHYSICS LETTERS, 2001, 27 (08) : 622 - 625
[19] Noise-induced transitions in a system of coagulating particles
V. M. Loginov
O. É. Leshakov
Technical Physics Letters, 2001, 27 : 622 - 625
[20] Parameters of Equilibrium Spectrum of Particles in Coagulating System with Aggregate Disintegration
B. M. Dolgonosov
Colloid Journal, 2001, 63 : 34 - 37

← 1 2 3 4 5 →