Abstract
Hydrodynamic behavior of one-dimensional homogeneous exclusion processes with speed change on periodic lattices $\mathbb{Z}/N\mathbb{Z}, N = 1,2,3,\ldots$, is studied. For every reversible exclusion process with nearest neighbor jumps and local interactions of gradient type it is shown that under diffusion-type scaling in space and time the empirical density fields of the processes converge to a weak solution of a nonlinear diffusion equation as $N$ goes to infinity. Two classes of examples of exclusion processes as stated are given.
Citation
T. Funaki. K. Handa. K. Uchiyama. "Hydrodynamic Limit of One-Dimensional Exclusion Processes with Speed Change." Ann. Probab. 19 (1) 245 - 265, January, 1991. https://doi.org/10.1214/aop/1176990543
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