Cooperative diffusion in one-dimensional lattice gases

Abstract

We obtain exact time-power series through 11th order for cooperative diffusion in a one-dimensional lattice gas with nearest-neighbor interactions. In the high-temperature limit (single-site exclusion one) mean field theory is exact and the model is soluble for arbitrary initial conditions. The exact solution is used to recast the time-power series for a general temperature as a series in the appropriate function obtained from the high-temperature limit. We discuss why more conventional methods of extracting power-law exponents for the asymptotic long-time behavior do not work well for this model.