Article
Decay of metastable states: Mean relaxation time formulation
Author/s | Drozdov, Alexander N.
Brey Abalo, José Javier |
Editor | Drozdov, Alexander N. |
Department | Universidad de Sevilla. Física Atómica, Molecular y Nuclear |
Publication Date | 1999-04 |
Deposit Date | 2020-05-05 |
Published in |
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Abstract | The mean relaxation time formalism introduced by Nadler and Schulten [J. Chem. Phys. 82, 151 (1985)] in their generalized moment expansion method is extended to a general diffusion process in arbitrary dimensions. The ... The mean relaxation time formalism introduced by Nadler and Schulten [J. Chem. Phys. 82, 151 (1985)] in their generalized moment expansion method is extended to a general diffusion process in arbitrary dimensions. The utility of the approach is demonstrated by calculating analytically the rate of noise-induced transitions in a bistable system with an isolated transition point. The rate formula obtained summarizes in a uniform manner much of what had been done before in this field. Limitations of its validity are discussed and a perturbation procedure to systematically improve it is proposed. The validity of our theoretical predictions for the rate is confirmed by comparing with exact numerical results. |
Funding agencies | Dirección General de Enseñanza Superior e Investigación Científica (DGESIC). España Ministry of Education, Science, and Culture. Japan |
Project ID. | PB96-534 |
Citation | Drozdov, A.N. y Brey Abalo, J.J. (1999). Decay of metastable states: Mean relaxation time formulation. The Journal of Chemical Physics, 110 (15), 7133-7141. |
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