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Please use this identifier to cite or link to this item: http://dspace.library.iitb.ac.in/jspui/handle/10054/4825

Title: Rupture of an extended object: A many-body Kramers calculation
Authors: SAIN, A
DIAS, CL
GRANT, M
Keywords: lennard-jones chain
statistical-theory
breaking
fracture
polymer
Issue Date: 2006
Publisher: AMERICAN PHYSICAL SOC
Citation: PHYSICAL REVIEW E, 74(4), -
Abstract: 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.
URI: 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
ISSN: 1539-3755
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