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|a pubmed25n0368.xml
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|a (DE-627)NLM110172094
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|a (NLM)11101961
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|a DE-627
|b ger
|c DE-627
|e rakwb
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|a eng
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|a Lehmann
|e verfasserin
|4 aut
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|a Surmounting oscillating barriers
|b path-integral approach for weak noise
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|c 2000
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|a Text
|b txt
|2 rdacontent
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|a ohne Hilfsmittel zu benutzen
|b n
|2 rdamedia
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|a Band
|b nc
|2 rdacarrier
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|a Date Revised 20.11.2019
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|a published: Print
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|a Citation Status PubMed-not-MEDLINE
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|a We consider the thermally activated escape of an overdamped Brownian particle over a potential barrier in the presence of periodic driving. A time-dependent path-integral formalism is developed which allows us to derive asymptotically exact weak-noise expressions for both the instantaneous and the time-averaged escape rate. Our results comprise a conceptually different, systematic treatment of the rate prefactor multiplying the exponentially leading Arrhenius factor. Moreover, an estimate for the deviations at finite noise strengths is provided and a supersymmetry-type property of the time-averaged escape rate is verified. For piecewise parabolic potentials, the rate expression can be evaluated in closed analytical form, while in more general cases, as exemplified by a cubic potential, an action-integral remains to be minimized numerically. Our comparison with very accurate numerical results demonstrates an excellent agreement with the theoretical predictions over a wide range of driving strengths and driving frequencies
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|a Journal Article
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|a Reimann
|e verfasserin
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|a Hanggi
|e verfasserin
|4 aut
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|i Enthalten in
|t Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
|d 1993
|g 62(2000), 5 Pt A vom: 01. Nov., Seite 6282-303
|w (DE-627)NLM098226002
|x 1063-651X
|7 nnns
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| 773 |
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|g volume:62
|g year:2000
|g number:5 Pt A
|g day:01
|g month:11
|g pages:6282-303
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|a GBV_ILN_350
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|a AR
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|d 62
|j 2000
|e 5 Pt A
|b 01
|c 11
|h 6282-303
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