1956Philosophical magazineRequires access

LIII. Correlation effects in diffusion in crystals

A. D. LeClaire, A. B. Lidiard

Open publisher page 260 citations

Abstract

It is a feature of many atomic diffusion jump mechanisms that successive jumps of an atom are “correlated” in the sense that the direction of a jump is not completely at random but is influenced to some extent by the direction of the preceding jump or jumps. General formulae are derived for the diffusion coefficient which take account of this correlation. The theory is applied to a calculation of the diffusion coefficient of solute atoms by the Johnson mechanism.

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What this paper is about

It is a feature of many atomic diffusion jump mechanisms that successive jumps of an atom are “correlated” in the sense that the direction of a jump is not completely at random but is influenced to some extent by the direction of the preceding jump or jumps. General formulae are derived for the diffusion coefficient which take account of this correlation. The theory is applied to a calculation of the diffusion coefficient of solute atoms by the Johnson mechanism.

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OpenAlex reports 260 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

It is a feature of many atomic diffusion jump mechanisms that successive jumps of an atom are “correlated” in the sense that the direction of a jump is not completely at random but is influenced to some extent by the direction of the preceding jump or jumps. General formulae are derived for the diffusion coefficient which take account of this correlation. The theory is applied to a calculation of the diffusion coefficient of solute atoms by the Johnson mechanism.

Key concepts: Jump diffusion, Jump, Diffusion, Atom (system on chip), Jump process, Effective diffusion coefficient, Correlation coefficient, Statistical physics

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