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.
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Poland, D., Song, S. Cooperative diffusion in one-dimensional lattice gases. J Stat Phys 71, 1133–1155 (1993). https://doi.org/10.1007/BF01049963
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DOI: https://doi.org/10.1007/BF01049963