Determination Of Mean First Passage Time For A Vacancy Diffusing In Ordered Binary Alloy

The Mean First Passage Time (MFPT) of a vacancy di®using in a highly viscousrnand homogenous medium of two dimensional ordered binary alloy is studied by usingrnthe random walk on network technique. We consider two types of models, i.e. singlernpath and all possible paths models. We compare the MFPT for One ¡ Jump andrnSix¡Jump cycles for both models. We study how the MFPT behaves as a functionrnof temperature ¯xing other parameters. At high temperature One ¡ Jump cycle isrndominant over Six¡Jump cycle except for the case when E0rn2E1 · 1 that the MFPT ofrna vacancy via One¡Jump cycle is always less than the MFPT via Six¡Jump cyclernin a single path model. However, at low temperature regime, the reverse is true. Itrnis also investigated how the MFPT behaves as a function of potential barrier height.rnWhen the potential barrier height of the One ¡ Jump cycle is less than that of thernSix ¡ Jump cycle, the One ¡ Jump cycle is dominant. On the contrary, the MFPTrnfor the Six¡Jump cycle is longer than that of the One¡Jump cycle if the potentialrnbarrier height for the Six ¡ Jump cycle is less than the potential barrier height forrnOne ¡ Jumpcycle

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