INVESTIGADORES
DI MURO Matias Alberto
artículos
Título:
Diffusion on a lattice: Transition rates, interactions, and memory effects
Autor/es:
DI MURO, MATIAS ALBERTO; HOYUELOS, M.
Revista:
PHYSICAL REVIEW E
Editorial:
AMER PHYSICAL SOC
Referencias:
Lugar: New York; Año: 2022 vol. 106 p. 14139 - 14139
ISSN:
1539-3755
Resumen:
We analyze diffusion of particles on a two-dimensional square lattice. Each lattice site contains an arbitrary number of particles. Interactions affect particles only in the same site, and are macroscopically represented by the excess chemical potential. In a recent work, a general expression for transition rates between neighboring cells as functions of the excess chemical potential was derived. With transition rates, the mean-field tracer diffusivity, $D^{MF}$, is immediately obtained. The tracer diffusivity, $D=D^{MF} f$, contains the correlation factor $f$, representing memory effects. An analysis of the joint probability of having given numbers of particles at different sites when a force is applied to a tagged particle allows an approximate expression for $f$ to be derived. The expression is applied to soft core interaction (different values for the maximum number of particles in a site are considered) and extended hard core.
