Limiting relations for atomic transport in lattice-gas models of solids

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Abstract
The computer simulation of lattice-gas models of solids by Monte Carlo methods is significant for the theory of atomic migration and transport in alloys, solid solutions of hydrogen in metals, fast-ion conductors, etc. This paper presents certain exact limiting relations which provide useful checks on such simulations on complex models. These relations specify the way macroscopic transport coefficients and associated quantities (‘correlation factors’) depend upon isotopic ratios and vacancy fraction.