Long time behaviour of the solution to non-linear Kraichnan equations
Long time behaviour of the solution to non-linear Kraichnan equations
复制标题
非线性 Kraichnan 方程解的长时间行为
DOI：
--
复制
发表时间：
2004
期刊：
影响因子：
--
通讯作者：
C. Mazza
中科院分区：
文献类型：
--
作者：
A. Guionnet;C. Mazza
摘要：我们考虑了具有协方差核k和边界条件H（t，t）=1的非线性Kraichnan方程的解.根据k的渐近行为，研究了当时间参数t，s趋于无穷大时H的长时间行为。这个问题出现在各种学科中，因为它与满足线性微分方程的非对易过程的迹的渐近行为的分析有关，但也自然地出现在一些无序自旋系统动力学的所谓响应函数和老化特性的研究中。
Abstract.We consider the solution of a nonlinear Kraichnan equation with a covariance kernel k and boundary condition H(t, t)=1. We study the long time behaviour of H as the time parameters t, s go to infinity, according to the asymptotic behaviour of k. This question appears in various subjects since it is related with the analysis of the asymptotic behaviour of the trace of non-commutative processes satisfying a linear differential equation, but also naturally shows up in the study of the so-called response function and aging properties of the dynamics of some disordered spin systems.