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RESEARCH PRODUCT

The effective diffusion coefficient in a one-dimensional discrete lattice with the inclusions

Eugene A. KotominJuris Roberts Kalnin

subject

PhysicsLattice (order)Effective diffusion coefficientPartial reflectionStatistical physicsElectrical and Electronic EngineeringCondensed Matter PhysicsRandom walkElectronic Optical and Magnetic Materials

description

Abstract The expression for the effective diffusion coefficient in one-dimensional discrete lattice model of random walks in matrix with inclusions and unequal hopping lengths is derived. This allowed us to suggest a physical interpretation to the concentration jump – ad hoc parameter commonly used in extended effective medium theory for accounting particle partial reflection on the boundary matrix–inclusion. The analytical results obtained are in excellent agreement with computer simulations.

yearjournalcountryeditionlanguage
2015-08-01Physica B: Condensed Matter
https://doi.org/10.1016/j.physb.2015.04.021