湍流和混沌时间相关函数的衰减形式

H. Mori, M. Okamura
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引用次数: 1

摘要

鲁宾一维布朗运动模型和一维湍流的混乱Kuramoto-Sivashinsky方程,我们得到一个广义朗之万方程投影算符的形式主义,然后调查英国时间相关函数的衰减形式(t)和它的记忆功能Γk (t) f或英国正常模式(t)系统的波数k .L etτ(u) k和τ(γ)k是英国的衰变时间(t)和Γk (t),分别τ (u) k≥τ (γ) k。这里,τ (u) k是宏观时间尺度,如果k′1,但如果k & 1,则是微观时间尺度,而τ (γ) k始终是微观时间尺度。改变长度尺度k−1和时间尺度τ (u) k, τ (γ) k,我们可以得到
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Decay Forms of the Time Correlation Functions for Turbulence and Chaos
Taking the Rubin model for the one-dimensional Brownian motion and the chaotic Kuramoto-Sivashinsky equation for the one-dimensional turbulence, we derive a generalized Langevin equation in terms of the projection operator formalism, and then investigate the decay forms of the time correlation function Uk(t) and its memory function Γk(t )f or a normal mode uk(t) of the system with a wavenumber k .L etτ (u) k and τ (γ) k be the decay times of Uk(t )a ndΓk(t), respectively, with τ (u) k ≥ τ (γ) k . Here, τ (u) k is a macroscopic time scale if k � 1, but a microscopic time scale if k & 1, whereas τ (γ) k is always a microscopic time scale. Changing the length scale k −1 and the time scales τ (u) k , τ (γ) k , we can obtain various aspects of
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Progress of Theoretical Physics
Progress of Theoretical Physics 物理-物理:综合
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