Finite Time Corrections in KPZ Growth Models
Finite Time Corrections in KPZ Growth Models
复制标题
KPZ 增长模型中的有限时间修正
DOI：
10.1007/s10955-011-0318-4
复制
发表时间：
2011
影响因子：
1.6
通讯作者：
Ren'e Frings
中科院分区：
文献类型：
--
作者：
P. Ferrari;Ren'e Frings
我们考虑Kardar-Parisi-Zhang普适类中的一些模型，即多核增长模型和完全/部分不对称简单排斥过程。对于这些模型，在大时间的限制下，波动的普适性已经得到了证明。在本文中，我们考虑收敛到极限分布，并确定（非普适的）一阶修正，它是t −1/3阶的非随机移动（在微观单位中为1阶）。减去这个确定性修正，则收敛为t −2/3阶。我们还确定了强度的不对称的排斥过程中的移位为零。最后讨论了模型的离散性对拟合函数的影响程度。
We consider some models in the Kardar-Parisi-Zhang universality class, namely the polynuclear growth model and the totally/partially asymmetric simple exclusion process. For these models, in the limit of large timet, universality of fluctuations has been previously obtained. In this paper we consider the convergence to the limiting distributions and determine the (non-universal) first order corrections, which turn out to be a non-random shift of ordert−1/3(of order 1 in microscopic units). Subtracting this deterministic correction, the convergence is then of ordert−2/3. We also determine the strength of asymmetry in the exclusion process for which the shift is zero. Finally, we discuss to what extend the discreteness of the model has an effect on the fitting functions.
DOI：
10.1088/0305-4470/38/33/l01
发表时间：
2005-08-19
期刊：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
影响因子：
--
作者：
Sasamoto, T
通讯作者：
Sasamoto, T