We study the lattice gas with nearest-neighbor exclusion on the square lattice and Kawasaki (hopping) dynamics, under the influence of a nonuniform drive, via Monte Carlo simulation. The drive, which favors motion along the +x direction and inhibits motion in the opposite direction, varies...

The partition function, Zp, of a cluster of p particles in a lattice gas depends on the number of lattice embeddings of labelled, connected graphs with p points and a given number of lines. We have determined the asymptotic behavior of this quantity for the triangular lattice. It appears that a...

The velocity autocorrelation function (VAF) of a Brownian particle in a plasma is calculated in the long-time limit. The Brownian particle VAF exhibits the same qualitative behavior as the electron VAF in a one-component plasma: oscillations at the plasma frequency and decay ∼t-32.