Dynamic Percolation Theory for Diffusion of Interacting Particles: Tracer Diffusion in a Multi-Component Lattice-Gas
Dynamic percolation theory is used to obtain the tracer diffusion coefficient in multicomponent mixtures of “non interacting” lattice-gas (with only blocking interactions, i.e. double occupancy of a lattice site is forbidden) within the effective medium approximation (EMA). Our approach is based on regarding the background particles as a changing random environment for the tracer. The result is expressed in terms of local fluctuation time parameters, which we attempt to determine from the lattice-gas dynamics. Special attention is given to the single component and the binary mixture cases, were we compare two possible choices for these parameters. The resulting tracer diffusion coefficient for both choices compares well with numerical simulations whenever single bond dynamics and single bond EMA are expected to be reliable.
KeywordsPercolation Threshold Tracer Particle Jump Rate Effective Medium Approximation Chemical Diffusion Coefficient
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- (5).S. D. Druger in Transport and Relaxation Processes in Random Materials, edited by J. Klafter, R. J. Rubin and M.F. Shlesinger (World Scientific, Singapore, 1986).Google Scholar
- (8).S. D. Druger and M.A. Ratner, Phys. Rev. B 38, 12,589 (1988)Google Scholar
- (11).R. Granek and A. Nitzan, to be published.Google Scholar
- (16).S. R. De Groot and P. Mazur, Non-Equilibrium Thermodynamics (North-Holland, Amsterdam, 1969).Google Scholar
- (18).M. Silverberg, M.A. Ratner, R. Granek and A. Nitzan, J. Chem. Phys. (in press).Google Scholar