Comparison Of Escape Rates For A Vacancy Diffusion Through One Jump And Six Jump Cycles In Well Ordered Binary Alloys.

We use a Supersymmetry Quantum Mechanics method to calculate the escape rate ofrnvacancy di®usion in well ordered binary alloy for low concentration structural defectrnin two dimension. The dynamics was mediated by long range and short range onernatom and vacancy exchange. We examine the ratio of escape rate for the six-jumprncycle to that for the one-jump cycle. When the e®ective barrier height of the six-rnjump cycle is greater than or equal that of the one-jump cycle, the escape rate forrnthe one-jump cycle is larger than that of the six-jump cycle. If the e®ective barrierrnheight of the six-jump cycle is less than that of the one-jump cycle, for relativelyrnhigh temperature the escape rate for the one-jump cycle is higher than that of thernsix-jump cycle but at relatively low temperature the reverse is observed. We havernalso seen that at a ceratin temperature or barrier height, both the six-jump and thernone-jump cycles have equal escape rates

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