Superdiffusivity of Asymmetric Exclusion Process in Dimensions One and Two

Superdiffusivity of Asymmetric Exclusion Process in Dimensions One and Two
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一维和二维不对称排斥过程的超扩散性

DOI:
10.1007/s00220-003-1020-4
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发表时间:
2002
影响因子:
2.4
通讯作者:
H. Yau
H. Yau
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
C. Landim;C. Landim;J. Quastel;M. Salmhofer;M. Salmhofer;H. Yau

文献摘要

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我们证明了扩散系数的不对称排斥过程发散至少一样快,t1/4在D=1和(logt)1/2在D=2。该方法适用于最近邻和非最近邻非对称排斥过程。
We prove that the diffusion coefficient for the asymmetric exclusion process diverges at least as fast as t1/4 in dimension d=1 and (logt)1/2 in d=2. The method applies to nearest and non-nearest neighbor asymmetric exclusion processes.