Time scales of overdamped nonlinear Brownian motion in arbitrary potential profiles
| ISSN: |
1089-7682
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| Source: |
AIP Digital Archive
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| Topics: |
Physics
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| Notes: |
This paper presents a new approach and new results concerning the problem of the rate of the nonlinear Brownian motion in a field of force. Within the scope of one-dimensional overdamped Brownian motion the exact values of time scales are obtained in detail for three types of arbitrary dimensionless potential profiles cursive-phi(x) which differ from one another by their limiting values at x=±∞. Three time scales, the relaxation time, the decay time of a metastable state and the life time of a nonstable state, are found via given potential profiles cursive-phi(x) by explicit quadrature formulae, as it takes place for the well-known mean first passage times. Specific examples are considered. © 1997 American Institute of Physics.
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| Type of Medium: |
Electronic Resource
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| URL: |