Bulletin of the Korean Chemical Society

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Memory Equations for Kinetics of Diffusion-Influenced Reactions

  • Yang, Mino (Department of Chemistry and Basic Sciences Research Institute, Chungbuk National University)
  • Published : 2006.10.20
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Abstract

A many-body master equation is constructed by incorporating stochastic terms responsible for chemical reactions into the many-body Smoluchowski equation. Two forms of Langevin-type of memory equations describing the time evolution of dynamical variables under the influence of time-independent perturbation with an arbitrary intensity are derived. One form is convenient in obtaining the dynamics approaching the steady-state attained by the perturbation and the other in describing the fluctuation dynamics at the steady-state and consequently in obtaining the linear response of the system at the steady-state to time-dependent perturbation. In both cases, the kinetics of statistical averages of variables is found to be obtained by analyzing the dynamics of time-correlation functions of the variables.

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References

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