Comparison of Escape Rates for a Vacancy Diffusion through one Jump and Six Jump Cycles in well ordered binary Alloys.

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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

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