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Diffusion in a Finite Crystal
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activity coefficient alloy antiparallel applied field assumed axis binding energy Burgers vector calculation Chapter chemical potential gradient class 3 sites column vector complex component concentration of vacancies Consequently consider crystal defined determine diffusion coefficient dilute alloy direction dislocation displacement electric field entropy exchange experimental fcc lattice finds flux fraction of lattice free energy Furthermore given in Eq grain boundary heat of transport Hence influence interstitial solute J. P. Stark jump frequency jump of type jump rate kinetic metals motion nearest neighbor number of jumps partial correlation factors phenomenological phenomenological coefficients Phys plane position problem random walk reactions row vector second neighbor self-diffusion single vacancy solute atoms solute concentration solute pairs solute tracer solute-vacancy solvent tracer statistical mechanics Substituting Eq substitutional solute Table temperature gradient tion tracer jump transform vacancy jump vacancy mechanism vacancy wind vacancy-solute variables velocity zero