Energy diffusion controlled reaction rate in dissipative Hamiltonian systems |
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| Authors: | Deng Mao-Lin and Zhu Wei-Qiu |
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| Affiliation: | Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | In this paper the energy diffusion controlled reaction rate in dissipative Hamiltonian
systems is investigated by using the stochastic averaging method for quasi
Hamiltonian systems. The boundary value problem of mean first-passage time
(MFPT) of averaged system is formulated and the energy diffusion controlled
reaction rate is obtained as the inverse of MFPT. The energy diffusion
controlled reaction rate in the classical Kramers bistable potential and in
a two-dimensional bistable potential with a heat bath are obtained by using
the proposed approach respectively. The obtained results are then compared
with those from Monte Carlo simulation of original systems and from the
classical Kramers theory. It is shown that the reaction rate obtained by
using the proposed approach agrees well with that from Monte Carlo
simulation and is more accurate than the classical Kramers rate. |
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| Keywords: | quasi Hamiltonian system Kramers reaction rate theory mean first-passage time stochastic averaging |
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