Tracer diffusion in concentrated lattice gas models. Rectangular lattices with anisotropic jump rates

Beijeren, H. van; Kutner, Ryszard

doi:10.1007/bf01017559

J Stat Phys

1987

DOI: 10.1007/bf01017559

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Tracer diffusion in concentrated lattice gas models. Rectangular lattices with anisotropic jump rates

H. van Beijeren

Ryszard Kutner

Abstract: An approximate theory is developed for tracer diffusion in rectangular lattice gas models with anisotropic jump rates to neighboring unoccupied sites in different directions. Comparison with Monte Carlo simulations on quadratic lattices with several ratios for the jump rates in orthogonal directions shows a satisfactory agreement in all cases investigated.

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2016

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From single-file diffusion to two-dimensional cage diffusion and generalization of the totally asymmetric simple exclusion process to higher dimensions

Centres

Bustingorry

2016

Phys. Rev. E

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A two-dimensional constrained diffusion model is presented and characterized by numerical simulations. The model generalizes the one-dimensional single-file diffusion model by considering a cage diffusion constraint induced by neighboring particles, which is a more stringent condition than volume exclusion. Using numerical simulations we characterize the diffusion process and we particularly show that asymmetric transition probabilities lead to the two-dimensional Kardar-Parisi-Zhang universality class. Therefore, this very simple model effectively generalizes the one-dimensional totally asymmetric simple exclusion process to higher dimensions.

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From single-file diffusion to two-dimensional cage diffusion and generalization of the totally asymmetric simple exclusion process to higher dimensions

Centres

Bustingorry

2016

Phys. Rev. E

View full text Add to dashboard Cite

show abstract

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Tracer diffusion in concentrated lattice gas models. Rectangular lattices with anisotropic jump rates

Cited by 1 publication

References 12 publications

From single-file diffusion to two-dimensional cage diffusion and generalization of the totally asymmetric simple exclusion process to higher dimensions

From single-file diffusion to two-dimensional cage diffusion and generalization of the totally asymmetric simple exclusion process to higher dimensions

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