info:eu-repo/semantics/article
Mean-field approach to diffusion with interaction: Darken equation and numerical validation
Fecha
2018-08-22Registro en:
Di Pietro Martínez, Marisel; Hoyuelos, Miguel Luis; Mean-field approach to diffusion with interaction: Darken equation and numerical validation; American Physical Society; Physical Review E; 98; 2; 22-8-2018
2470-0045
2470-0053
CONICET Digital
CONICET
Autor
Di Pietro Martínez, Marisel
Hoyuelos, Miguel Luis
Resumen
A mean-field theory for diffusion with interaction was introduced in Phys. Rev. E 92, 062118 (2015)PLEEE81539-375510.1103/PhysRevE.92.062118. Interaction effects are represented with a mean-field potential. Here we show that the potential can be directly related to the activity coefficient. In this context, we obtain an alternative derivation of the Darken equation, that relates collective diffusion coefficient and single particle diffusion coefficient (generally different in the presence of interactions). We also carry out a validation test of the model using, as a case study, effective interactions that reproduce Bose-Einstein statistics.