On Nonlinear Dynamics of Fluctuations
On Nonlinear Dynamics of Fluctuations
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关于波动的非线性动力学
DOI：
10.1143/ptp.49.764
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发表时间：
1973
影响因子：
--
通讯作者：
H. Fujisaka
中科院分区：
文献类型：
--
作者：
H. Mori;H. Fujisaka
利用非线性Langevin方程中宏观模间的非线性相互作用，发展了一种投影算符方法，对动力学系数进行了重整化，该方法常用于研究临界点附近的反常输运现象和二维反常输运系数.结果表明，重整化项是由一个新的涨落力的时间关联给出的。其他理论是从这个表达式中通过近似推导出来的。本文导出了朗之万脉动力与输运脉动力之间的关系，以澄清绿色和Zwanzig的Fokker-Planck方程方法与作者之一的线性运动方程方法之间的关系。
A projection-operator method is developed for renormalizing kinetic coefficients by the nonlinear interaction between macroscopic modes in a nonlinear Langevin equation which is often used in studying anomalous transport phenomena near critical points and anomalous transport coefficients in two dimension. It is shown that the renormalization term is given by the time correlation of a new fluctuating force. Other theories are derived from this expression by making approximations. A relation between the Langevin fluctuating force and the transport fluctuating force is derived to clarify the relation between the Fokker-Planck equation approach by Green and Zwanzig and the linear equation-of-motion approach by one of the authors.