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Rupture of an extended object: A many-body Kramers calculation

DSpace at IIT Bombay

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Title Rupture of an extended object: A many-body Kramers calculation
 
Creator SAIN, A
DIAS, CL
GRANT, M
 
Subject lennard-jones chain
statistical-theory
breaking
fracture
polymer
 
Description We show how an extended object's strain field is redistributed when the material ruptures under by thermal activation. Through analytical calculations and molecular dynamics simulations, we show that in a polymer chain the distribution is exponentially localized around the point of rupture. The length scale of localization is determined by the strain and microscopic parameters of the interaction potential. We also derive an analytic expression for the rate of bond rupture by consistently treating the collective modes of the chain and the effect of dissipation on those modes. Our theoretical estimates are of the same order of magnitude as those obtained by simulations, as compared to earlier theories which had overestimated the rate of rupture by approximately two orders of magnitude. It is also noteworthy that the correction comes about through the effective attempt frequency rather than the effective barrier height.
 
Publisher AMERICAN PHYSICAL SOC
 
Date 2011-07-17T19:45:17Z
2011-12-26T12:50:28Z
2011-12-27T05:35:21Z
2011-07-17T19:45:17Z
2011-12-26T12:50:28Z
2011-12-27T05:35:21Z
2006
 
Type Article
 
Identifier PHYSICAL REVIEW E, 74(4), -
1539-3755
http://dx.doi.org/10.1103/PhysRevE.74.046111
http://dspace.library.iitb.ac.in/xmlui/handle/10054/4825
http://hdl.handle.net/10054/4825
 
Language en