3 1 Ja n 20 02 Superdiffusivity of asymmetric exclusion process in dimensions one and two
نویسندگان
چکیده
We prove that the diffusion coefficient for the asymmetric exclusion process diverges at least as fast as t 1/4 in dimension d = 1 and (log t) 1/2 in d = 2. The method applies to nearest and non-nearest neighbor asymmetric exclusion processes.
منابع مشابه
ar X iv : m at h - ph / 0 20 10 57 v 2 3 1 Ja n 20 02 ( log t ) 2 / 3 law of the two dimensional asymmetric simple exclusion process
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We consider finite-range asymmetric exclusion processes on Z with non-zero drift. The diffusivity D(t) is expected to be of O(t1/3). We prove that D(t) ≥ Ct1/3 in the weak (Tauberian) sense that ∫∞ 0 e −λttD(t)dt ≥ Cλ−7/3 as λ → 0. The proof employs the resolvent method to make a direct comparison with the totally asymmetric simple exclusion process, for which the result is a consequence of the...
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