Abstract
In this chapter, we discuss Kramers’ model. He used the concept of Brownian motion to describe motion of particles over a barrier as a model for chemical reactions in solution. The probability distribution of a particle moving in an external potential is described by the Klein–Kramers equation and the rate of the chemical reaction is related to the probability current across the barrier. The famous Kramers relation describes the friction dependency of the reaction rate.
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Note that \(\lambda -\gamma \) is always positive. This would not be true for the second root.
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Scherer, P.O.J., Fischer, S.F. (2017). Kramers Theory. In: Theoretical Molecular Biophysics. Biological and Medical Physics, Biomedical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55671-9_8
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DOI: https://doi.org/10.1007/978-3-662-55671-9_8
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-55670-2
Online ISBN: 978-3-662-55671-9
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