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

作　　者：DENG MaoLin ZHU WeiQiu 

机构地区：[1]Department of Mechanics,State Key Laboratory of Fluid Power Transmission and Control,Zhejiang University,Hangzhou 310027,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2009年第8期1213-1222,共10页中国科学：物理学、力学、天文学（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant Nos. 10772159 and 10802074);the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20060335125);the Zhejiang Provincial Natural Science Foundation of China (Grant No. Y7080070)

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 sta-tistics.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.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.

关 键 词：stochastic AVERAGING method QUASI Hamiltonian system BROWNIAN motion reaction rate theory DNA DENATURATION FERMI resonance 

分 类 号：O411[理学—理论物理]