A note on the diffusivity of finite-range asymmetric exclusion processes on Z
A note on the diffusivity of finite-range asymmetric exclusion processes on Z
复制标题
关于 Z 上有限范围不对称排除过程的扩散性的注解
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
B. Valkó
中科院分区：
文献类型：
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作者：
J. Quastel;B. Valkó
具有非零漂移的有限程非对称排斥过程的扩散系数D（t）是t^{1/3}阶。Sepp”{a}l“ainen和Bal'azs最近证明了最近邻情况下的这个猜想。我们通过证明扩散系数的拉普拉斯变换具有严格的阶，将他们的结果推广到一般的有限程排斥。我们还得到了$D（t）$的正确阶的逐点上界.
The diffusivity $D(t)$ of finite-range asymmetric exclusion processes on $mathbb Z$ with non-zero drift is expected to be of order $t^{1/3}$. Sepp"{a}l"ainen and Bal'azs recently proved this conjecture for the nearest neighbor case. We extend their results to general finite range exclusion by proving that the Laplace transform of the diffusivity is of the conjectured order. We also obtain a pointwise upper bound for $D(t)$ the correct order.