A chain of interacting particles under strain

Stochastic Processes and their Applications

Volumn 121, Issue 9, 2011, Pages 2014-2042

  Allman, Michael ^a   Betz, Volker ^a   Hairer, Martin ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

Interacting Brownian particles; Pitchfork bifurcation; Singular perturbation; Stochastic differential equations

Indexed keywords

BROWNIAN PARTICLES; INTERACTING PARTICLES; PITCHFORK BIFURCATIONS; SINGULAR PERTURBATIONS; STOCHASTIC DIFFERENTIAL EQUATIONS;

DIFFERENTIAL EQUATIONS;

EID: 79960139062     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2011.05.007     Document Type: Article

References (21)

1. M. Allman, Chains of interacting Brownian particles under strain, Ph.D. Thesis, Warwick University, 2010.
2. M. Allman, and V. Betz Breaking the chain Stochastic Process. Appl. 119 8 2009 2645 2659
3. W.J. Anderson Local behaviour of solutions of stochastic integral equations Trans. Amer. Math. Soc. 164 1972 309 321
4. G.I. Bell Models for the specific adhesion of cells to cells Science 200 1978 618 627
5. N. Berglund, and B. Gentz Pathwise description of dynamic pitchfork bifurcations with additive noise Probab. Theory Related Fields 122 3 2002 341 388 (Pubitemid 36185842)
6. N. Berglund, and B. Gentz Noise-induced phenomena in slowfast dynamical systems Probability and its Applications (New York) 2006 Springer-Verlag London Ltd. London
7. A. Bovier, M. Eckhoff, V. Gayrard, and M. Klein Metastability in reversible diffusion processes. I. Sharp asymptotics for capacities and exit times J. Eur. Math. Soc. (JEMS) 6 4 2004 399 424 (Pubitemid 39443670)
8. Digital library of mathematical functions, National Institute of Standards and Technology, 2010-05-07, URL http://dlmf.nist.gov/.
9. O.K. Dudko, A.E. Filippov, J. Klafter, and M. Urbakh Beyond the conventional description of dynamic force spectroscopy of adhesion bonds PNAS 100 20 2003 11378 11381 (Pubitemid 37205943)
10. E. Evans, and K. Ritchie Dynamic strength of molecular adhesion bonds Biophys. J. 72 4 1997 1541 1555 (Pubitemid 27133095)
11. H. Eyring The activated complex in chemical reactions J. Chem. Phys. 3 1935 107 115
12. M.I. Freidlin, and A.D. Wentzell second ed. Random Perturbations of Dynamical Systems vol. 260 1998 Springer-Verlag New York
13. R.W. Friddle Unified model of dynamic forced barrier crossing in single molecules Phys. Rev. Lett. 100 13 2008 138302
14. S. Fugmann, and I.M. Sokolov Scaling of the rupture dynamics of polymer chains pulled at one end at a constant rate Phys. Rev. E 79 2 2009 021803
15. S. Fugmann, and I.M. Sokolov Non-monotonic dependence of the polymer rupture force on molecule chain length EPL 86 28001 2009 1 5
16. H.A. Kramers Brownian motion in a field of force and the diffusion model of chemical reactions Physica (Utrecht) 7 1940 284 304
17. J.S. Langer Statistical theory of the decay of metastable states Ann. Phys. 54 2 1969 258 275
18. C.F. Lee Thermal breakage of a discrete one-dimensional string Phys. Rev. E 80 3 2009 031134
19. H.-J. Lin, H.-Y. Chen, Y.-J. Sheng, and H.-K. Tsao Bell's expression and the generalized Garg form for forced dissociation of a biomolecular complex Phys. Rev. Lett. 98 8 2007 088304
20. M. Raible, M. Evstigneev, F.W. Bartels, R. Eckel, M. Nguyen-Duong, R. Merkel, R. Ros, D. Anselmetti, and P. Reimann Theoretical analysis of single-molecule force spectroscopy experiments: heterogeneity of chemical bonds Biophys. J. 90 2006 3851 3864 (Pubitemid 43846104)
21. A. Sain, C.L. Dias, and M. Grant Rupture of an extended object: a many-body Kramers calculation Phys. Rev. E 74 4 2006 046111