Titlebook: New Trends in Kramers’ Reaction Rate Theory; Peter Talkner,Peter Hänggi Book 1995 Springer Science+Business Media Dordrecht 1995 Diffusion

伤心

mes important to consider and accommodate the interdependencies and interactions of human decisions. As a result, game theory has emerged as a fundamental instrument in pure and applied research. In addition, since human beings live in time and decisions generally lead to effects over time, most of

Reclaim

Introduction,lace while the system is undergoing interactions with its ., which generally consists of a solvent or a solid. The situation is therefore quite distinct from the case where activated barrier crossing proceeds essentially as a . over a reactive barrier. The latter situation is often modeled accuratel

Humble

Variational Transition State Theory in Condensed Phases,reduction of infinite-dimensional problems to much more tractable few-dimensional problems. Variational transition state theory may be used to go beyond Kramers’ theory and consider the effects of memory friction and solute nonlinearities on the rate of barrier crossing. In addition, since variation

滴注

,Anharmonic Barrier Corrections for Kramers’ Rate-Problem in the Spatial Diffusion Regime,investigated within the framework of Fokker-Planck processes in the spatial diffusion regime. Different existing concepts to obtain the escape rate are extended and compared to each other. The central role that is played by Kramers’ stationary current carrying probability density is demonstrated. An

circumvent

BYRE

Surmounting Fluctuating Barriers,ns being controlled by colored Gaussian noise. Our findings are exact in the limit of white noise sources and (partially) in the limit of extreme large noise color, and are approximate for intermediate noise color. As one main result we find that the escape time can generically exhibit a minimum res

密切关系

Noise-Induced Transitions and Chemical Rate Laws,ynamics supports bistable attracting states. Both simple one-variable systems governed by motion in a bistable potential, as well as more complicated systems in two and higher dimensions involving bistability between other types of attractors, are considered. If external noise is applied to such sys

Dislocation

Invariant Densities and Escape Rates for Maps with Weak Gaussian Noise, small noise and large friction the stationary behavior is discussed in terms of the invariant density in configuration space. Particular emphasis is laid on one-dimensional bistable symmetric maps which have locally stable fixed points separated by an unstable fixed point. The rate of transitions b