Comparison of Escape Rates for a Vacancy Diffusion through one Jump and Six Jump Cycles in well ordered binary Alloys.
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Date
2006-07
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Addis Ababa University
Abstract
We use a Supersymmetry Quantum Mechanics method to calculate the escape rate of
vacancy di®usion in well ordered binary alloy for low concentration structural defect
in two dimension. The dynamics was mediated by long range and short range one
atom and vacancy exchange. We examine the ratio of escape rate for the six-jump
cycle to that for the one-jump cycle. When the e®ective barrier height of the six-
jump cycle is greater than or equal that of the one-jump cycle, the escape rate for
the one-jump cycle is larger than that of the six-jump cycle. If the e®ective barrier
height of the six-jump cycle is less than that of the one-jump cycle, for relatively
high temperature the escape rate for the one-jump cycle is higher than that of the
six-jump cycle but at relatively low temperature the reverse is observed. We have
also seen that at a ceratin temperature or barrier height, both the six-jump and the
one-jump cycles have equal escape rates
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Comparison of Escape Rates for a Vacancy