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PRODID:Data::ICal 0.22
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DESCRIPTION: Eugene Kolomeisky\, University of Virginia\n\nThe breaking
rate of an atomic chain stretched at zero temperature by a\nconstant force
can be calculated in a quasiclassical approximation by\nfinding the local
ized solutions ("bounces") of the equations of classical\ndynamics in imag
inary time. We show that this theory is related to the\ncritical cracks o
f stressed solids\, because the world lines of the atoms in\nthe chain for
m a two-dimensional crystal\, and the bounce is a crack\nconfiguration in
(unstable) mechanical equilibrium. Thus the tunneling\ntime\, Action\, an
d the breaking rate in the limit of small forces are\ndetermined by the cl
assical results of Griffith. For the limit of large\nforces we give an ex
act bounce solution that describes the quantum fracture\nand classical cra
ck close to the limit of mechanical stability. This limit\ncan be viewed
as a critical phenomenon for which we establish a\nLevanyuk-Ginzburg crite
rion of weakness of fluctuations\, and propose a\nscaling argument for the
critical regime. The post-tunneling dynamics is\nunderstood by the analy
tic continuation of the bounce solutions to real time.
DTSTART:20000204T210000Z
LOCATION:Physics Building\, Room 204
SUMMARY:Breaking a one-dimensional chain: fracture in 1 + 1 dimensions
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