Equilibrium Fluctuations for a Model of Coagulating-Fragmenting Planar Brownian Particles

被引：3

作者：

Ranjbar, Mojtaba ^{[1
]}

Rezakhanlou, Fraydoun ^{[2
]}

机构：

[1] Amirkabir Univ, Fac Math & Comp Sci, Tehran, Iran

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

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2010年 / 296卷 / 03期

关键词：

SYSTEM; LIMIT;

D O I：

10.1007/s00220-010-1016-9

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-fragmenting planar Brownian particles. Coagulation occurs when two particles are within a distance of order epsilon. Our model is macroscopically described by an inhomogeneous Smoluchowski's equation in the low epsilon limit provided that the initial number of particles N is of order |log epsilon|. When a detailed balance condition is satisfied, we establish a central limit theorem by showing that in the low epsilon limit, the particle density fluctuation fields obey an Ornstein-Uhlenbeck stochastic differential equation.

引用

页码：769 / 826

页数：58

共 50 条

[41] MIXING AND DEPOSITION OF BROWNIAN PARTICLES IN MODEL ALVEOLUS
OTANI, Y
EMI, H
TANAKA, T
JOURNAL OF CHEMICAL ENGINEERING OF JAPAN, 1990, 23 (03) : 326 - 331
[42] Mixing and deposition of brownian particles in model alveolus
Otani, Yoshio, 1600, (23):
[43] Escape of Brownian particles and stochastic resonance with low-temperature quantum fluctuations
Zeng ChunHua
Wang Hua
Hu JianHang
SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY, 2011, 54 (08) : 1388 - 1393
[44] Escape of Brownian particles and stochastic resonance with low-temperature quantum fluctuations
ZENG ChunHua1
2Province Engineering Research Center of Industrial Energy Conservation and New Technology
Science China(Physics,Mechanics & Astronomy), 2011, (08) : 1388 - 1393
[45] Escape of Brownian particles and stochastic resonance with low-temperature quantum fluctuations
ChunHua Zeng
Hua Wang
JianHang Hu
Science China Physics, Mechanics and Astronomy, 2011, 54 : 1388 - 1393
[46] Resonance fluctuations of a whispering gallery mode biosensor by particles undergoing Brownian motion
Keng, D.
McAnanama, S. R.
Teraoka, I.
Arnold, S.
APPLIED PHYSICS LETTERS, 2007, 91 (10)
[47] Suspensions of adhesive colloidal particles in sedimentation equilibrium in a planar pore
Jamnik, A
JOURNAL OF CHEMICAL PHYSICS, 1998, 109 (24): : 11085 - 11093
[48] Inequalities and fluctuations in a dynamic general equilibrium model
Christian Ghiglino
Marielle Olszak-Duquenne
Economic Theory, 2001, 17 (1) : 1 - 24
[49] Inequalities and fluctuations in a dynamic general equilibrium model
Ghiglino, C
Olszak-Duquenne, M
ECONOMIC THEORY, 2001, 17 (01) : 1 - 24
[50] Brownian Particles with Rank-Dependent Drifts: Out-of-Equilibrium Behavior
Cabezas, M.
Dembo, A.
Sarantsev, A.
Sidoravicius, V.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2019, 72 (07) : 1424 - 1458

← 1 2 3 4 5 →