Some applications of stochastic averaging method for quasi Hamiltonian systems in physics

被引：2

作者：

Deng MaoLin ^{[1
]}

Zhu WeiQiu ^{[1
]}

机构：

[1] Zhejiang Univ, State Key Lab Fluid Power Transmiss & Control, Dept Mech, Hangzhou 310027, Peoples R China

来源：

SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY | 2009年 / 52卷 / 08期

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

stochastic averaging method; quasi Hamiltonian system; Brownian motion; reaction rate theory; DNA denaturation; Fermi resonance; DNA DENATURATION; DYNAMICS; MODEL; KRAMERS; MOTION;

D O I：

10.1007/s11433-009-0166-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Many physical systems can be modeled as quasi-Hamiltonian systems and the stochastic averaging method for quasi-Hamiltonian systems can be applied to yield reasonable approximate response statistics. In the present paper, the basic idea and procedure of the stochastic averaging method for quasi Hamiltonian systems are briefly introduced. The applications of the stochastic averaging method in studying the dynamics of active Brownian particles, the reaction rate theory, the dynamics of breathing and denaturation of DNA, and the Fermi resonance and its effect on the mean transition time are reviewed.

引用

页码：1213 / 1222

页数：10

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