O. Benichou

Ultraslow vacancy-mediated tracer diffusion in two dimensions: the Einstein relation verified.

We study the dynamics of a charged tracer particle (TP) on a two-dimensional lattice all sites of which except one (a vacancy) are filled with identical neutral, hard-core particles. The particles move randomly by exchanging their positions with the vacancy, subject to the hard-core exclusion. In case when the charged TP experiences a bias due to external electric field

On the joint residence time of N independent two-dimensional Brownian motions

{\bf E}

Stochastic theory of diffusion-controlled reactions

, (which favors its jumps in the preferential direction), we determine exactly the limiting probability distribution of the TP position in terms of appropriate scaling variables and the leading large-N (

Force-velocity relation and density profiles for biased diffusion in an adsorbed monolayer

n

Atomic slide puzzle: self-diffusion of an impure atom.

being the discrete time) behavior of the TP mean displacement

Biased Tracer Diffusion in Hard-Core Lattice Gases: Some Notes on the Validity of the Einstein Relation

\bar{{\bf X}}_n

Dynamical disorder in diffusion-limited reactions

; the latter is shown to obey an anomalous, logarithmic law

Intrinsic friction of adsorbed monolayers

|\bar{{\bf X}}_n| = \alpha_0(|{\bf E}|) \ln(n)

Diffusion-limited reactions of particles with fluctuating activity

. On comparing our results with earlier predictions by Brummelhuis and Hilhorst (J. Stat. Phys. {\bf 53}, 249 (1988)) for the TP diffusivity

Intrinsic Friction of Monolayers Adsorbed on Solid Surfaces.

D_n