Stochastic cluster dynamics of macromolecules

A. Yu. Chikishev, W. Ebeling, Lutz Schimansky-Geier, А.В. Нетребко, Nina V. Netrebko, Y.M. Romanovsky, E. G. Shidlovskaya · 1996

We study the motion of particles in a two-dimensional potentials with several minima The potential landscapes are driven by random and parametric forces. The influence of a finite size of the particles is investigated. Possible connections to proton transfer and ligand penetrations in biomolecules are discussed. I. INTRODUCTION Since the well-known paper of L.Pontryagin, A.Andronov and A.Vitt [Pontryagin et al., 1933] a lot of problems in nonlinear dynamics were considered associated with the study of transitions of multistable system from one stable state to another under the influence of noise [Hanggi et al. 1990, Talkner & Hanggi, 1995]. In recent years new problems emerged in the studies of complex vibrational systems. These problems deal with transitions of particles in potential reliefs with fluctuating or periodically changing parameters in 1D [Doering & Gadoua, 1992] and 2D [Netrebko et al., 1994, 1996]. In this article we consider examples of a cluster dynamics of macromolecul...

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