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Superdiffusivity of asymmetric exclusion process in dimensions one and two

C. Landim, J. Quastel, M. Salmhofer, H. T. Yau

math.PRarXiv:math/0201317

Abstract

We prove that the diffusion coefficient for the asymmetric exclusion process diverges at least as fast as t1/4 in dimension d=1 and ( t)1/2 in d=2. The method applies to nearest and non-nearest neighbor asymmetric exclusion processes.

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