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: |
| _version_ | 1798289735983038464 |
|---|---|
| autor | Malakhov, A. N. |
| book_url | http://dx.doi.org/10.1063/1.166220 |
| datenlieferant | nat_lic_papers |
| hauptsatz | hsatz_simple |
| identnr | NLZ218339437 |
| issn | 1089-7682 |
| journal_name | Chaos |
| materialart | 1 |
| 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. |
| package_name | American Institute of Physics (AIP) |
| publikationsjahr_anzeige | 1997 |
| publikationsjahr_facette | 1997 |
| publikationsjahr_intervall | 8004:1995-1999 |
| publikationsjahr_sort | 1997 |
| publikationsort | Woodbury, NY |
| publisher | American Institute of Physics (AIP) |
| reference | 7 (1997), S. 488-504 |
| search_space | articles |
| shingle_author_1 | Malakhov, A. N. |
| shingle_author_2 | Malakhov, A. N. |
| shingle_author_3 | Malakhov, A. N. |
| shingle_author_4 | Malakhov, A. N. |
| shingle_catch_all_1 | Malakhov, A. N. Time scales of overdamped nonlinear Brownian motion in arbitrary potential profiles 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. 1089-7682 10897682 American Institute of Physics (AIP) |
| shingle_catch_all_2 | Malakhov, A. N. Time scales of overdamped nonlinear Brownian motion in arbitrary potential profiles 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. 1089-7682 10897682 American Institute of Physics (AIP) |
| shingle_catch_all_3 | Malakhov, A. N. Time scales of overdamped nonlinear Brownian motion in arbitrary potential profiles 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. 1089-7682 10897682 American Institute of Physics (AIP) |
| shingle_catch_all_4 | Malakhov, A. N. Time scales of overdamped nonlinear Brownian motion in arbitrary potential profiles 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. 1089-7682 10897682 American Institute of Physics (AIP) |
| shingle_title_1 | Time scales of overdamped nonlinear Brownian motion in arbitrary potential profiles |
| shingle_title_2 | Time scales of overdamped nonlinear Brownian motion in arbitrary potential profiles |
| shingle_title_3 | Time scales of overdamped nonlinear Brownian motion in arbitrary potential profiles |
| shingle_title_4 | Time scales of overdamped nonlinear Brownian motion in arbitrary potential profiles |
| sigel_instance_filter | dkfz geomar wilbert ipn albert |
| source_archive | AIP Digital Archive |
| timestamp | 2024-05-06T08:05:34.025Z |
| titel | Time scales of overdamped nonlinear Brownian motion in arbitrary potential profiles |
| titel_suche | Time scales of overdamped nonlinear Brownian motion in arbitrary potential profiles |
| topic | U |
| uid | nat_lic_papers_NLZ218339437 |