Determination of Mean first Passage time for a Vacancy Diffusing in ordered Binary Alloy
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Date
2006-06
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Addis Ababa University
Abstract
The Mean First Passage Time (MFPT) of a vacancy di®using in a highly viscous
and homogenous medium of two dimensional ordered binary alloy is studied by using
the random walk on network technique. We consider two types of models, i.e. single
path and all possible paths models. We compare the MFPT for One ¡ Jump and
Six¡Jump cycles for both models. We study how the MFPT behaves as a function
of temperature ¯xing other parameters. At high temperature One ¡ Jump cycle is
dominant over Six¡Jump cycle except for the case when E0
2E1 · 1 that the MFPT of
a vacancy via One¡Jump cycle is always less than the MFPT via Six¡Jump cycle
in a single path model. However, at low temperature regime, the reverse is true. It
is also investigated how the MFPT behaves as a function of potential barrier height.
When the potential barrier height of the One ¡ Jump cycle is less than that of the
Six ¡ Jump cycle, the One ¡ Jump cycle is dominant. On the contrary, the MFPT
for the Six¡Jump cycle is longer than that of the One¡Jump cycle if the potential
barrier height for the Six ¡ Jump cycle is less than the potential barrier height for
One ¡ Jumpcycle
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Determination of Mean first Passage time