A chain of interacting particles under strain

被引:5
作者
Allman, Michael [1 ]
Betz, Volker [1 ]
Hairer, Martin [1 ]
机构
[1] Univ Warwick, Dept Math, Coventry CV4 7AL, W Midlands, England
基金
英国工程与自然科学研究理事会;
关键词
Interacting Brownian particles; Pitchfork bifurcation; Stochastic differential equations; Singular perturbation; FORCE SPECTROSCOPY; ADHESION;
D O I
10.1016/j.spa.2011.05.007
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We investigate the behaviour of a chain of interacting Brownian particles with one end fixed and the other end moving away at slow speed epsilon > 0, in the limit of small noise. The interaction between particles is through a pairwise potential U with finite range b > 0. We consider both overdamped and underdamped dynamics. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:2014 / 2042
页数:29
相关论文
共 21 条
[1]  
ALLMAN M, 2010, THESIS WARWICK U
[2]   Breaking the chain [J].
Allman, Michael ;
Betz, Volker .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2009, 119 (08) :2645-2659
[4]  
BELL GI, 1978, SCIENCE, V200, P618, DOI 10.1126/science.347575
[5]   Pathwise description of dynamic pitchfork bifurcations with additive noise [J].
Berglund, N ;
Gentz, B .
PROBABILITY THEORY AND RELATED FIELDS, 2002, 122 (03) :341-388
[6]  
Berglund Nils, 2006, PROB APPL S
[7]  
Bovier A, 2004, J EUR MATH SOC, V6, P399
[8]   Beyond the conventional description of dynamic force spectroscopy of adhesion bonds [J].
Dudko, OK ;
Filippov, AE ;
Klafter, J ;
Urbakh, M .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2003, 100 (20) :11378-11381
[9]   Dynamic strength of molecular adhesion bonds [J].
Evans, E ;
Ritchie, K .
BIOPHYSICAL JOURNAL, 1997, 72 (04) :1541-1555
[10]   The activated complex in chemical reactions [J].
Eyring, H .
JOURNAL OF CHEMICAL PHYSICS, 1935, 3 (02) :107-115