Abstract
The generalized Langevin equation (GLE) is given by
Where \(\vec{F}[\vec{x}(t)]\) is the position dependent force, \(\vec{f}\left( t \right)\) is a stochastic force, and β(t) is a memory function, \(\left( {{{k}_{B}}{{T}_{\mu }}} \right) - 1\left\langle {\overrightarrow f \left( t \right)\bullet \overrightarrow f \left( 0 \right)} \right\rangle\) Where μ is the mass and kB is Boltzmann’s constant. The zero-frequency friction is \(\int\limits_{o}^{\infty } {dtB(t)} \equiv {{\beta }_{o}}\).
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© 1984 Springer-Verlag Berlin Heidelberg
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Statman, D., Jalenak, W.A., Robinson, G.W. (1984). Chemical Reactions in Condensed Media. In: Auston, D.H., Eisenthal, K.B. (eds) Ultrafast Phenomena IV. Springer Series in Chemical Physics, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82378-7_85
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DOI: https://doi.org/10.1007/978-3-642-82378-7_85
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