title: Dispersion coefficients from a field-theoretic renormalization of fluid mechanics.
abstract: We consider subtle correlations in the scattering of fluid by randomly placed obstacles, which have been suggested to lead to a diverging dispersion coefficient at long times for high Péclet numbers, in contrast to finite mean-field predictions. We develop a new master equation description of the fluid mechanics that incorporates the physically relevant fluctuations, and we treat those fluctuations by a renormalization group procedure. We find a finite dispersion coefficient at low volume fraction of disorder and high Péclet numbers.
authors.affiliation: Chemical Engineering Department, University of California, Los Angeles, California 90095-1592, USA.
authors.forename: M W
authors.initials: MW
authors.lastname: Deem
authors.forename: J M
authors.initials: JM
authors.lastname: Park