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- W4244761749 abstract "Most physical systems can be viewed, in a schematic way, as undergoing either diffusion (possibly in an inhomogeneous medium, with space dependent diffusion constant), or barrier crossing, i.e. going from one metastable state to another metastable state through a free energy barrier. In order to study barrier crossing and transition rates, it is useful to introduce the notion of first passage time. The first passage time is closely related to the mean dwell time. Chemical reactions can often be viewed as a transition between two states A and B of a system. The chapter shows how the Kramers formula can be simply derived using the mean first-passage time equation. It considers the specific part of the path where the particle jumps over the barrier from one well to the other. Strictly speaking, the transition path should be defined as the path between points D and E, with absorbing boundary conditions at these points." @default.
- W4244761749 created "2022-05-12" @default.
- W4244761749 date "2020-01-28" @default.
- W4244761749 modified "2023-10-12" @default.
- W4244761749 title "Barrier Crossing" @default.
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- W4244761749 doi "https://doi.org/10.1002/9781119176800.ch6" @default.
- W4244761749 hasPublicationYear "2020" @default.
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