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Thermally activated escape rate for a Brownian particle in a double-well potential for all values of the dissipation
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10.1063/1.2140281
/content/aip/journal/jcp/124/2/10.1063/1.2140281
http://aip.metastore.ingenta.com/content/aip/journal/jcp/124/2/10.1063/1.2140281
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Potential for and various values of .

Image of FIG. 2.
FIG. 2.

The numerically exact results for the correlation time [Eq. (32), solid lines] and the inverse of the smallest nonvanishing eigenvalue [Eq. (34), stars] vs are compared with the universal Mel’nikov-Meshkov result [Eq. (35), dashed lines] for high barriers and 10. The relaxation times [Eq. (38), dotted lines 1], [Eq. (39), dotted lines 2], and [Eq. (40), dashed-dotted lines 3] are also shown for comparison.

Image of FIG. 3.
FIG. 3.

The numerically exact results for the correlation time [Eq. (32), solid lines] and the inverse of the smallest nonvanishing eigenvalue [Eq. (34), stars] vs for (low damping) and (high damping). The universal Mel’nikov-Meshkov formula [Eq. (35), dashed lines] and the relaxation times [Eq. (39), triangles] and [Eq. (40), filled circles] are also shown for comparison.

Image of FIG. 4.
FIG. 4.

The numerically exact results for the correlation time [Eq. (32), solid line 1] and the inverse of the smallest nonvanishing eigenvalue [Eq. (34), stars] vs for a small barrier . They are compared with the universal Mel’nikov-Meshkov result [Eq. (35); dashed line 2] and the correlation times [Eq. (48); dashed-dotted line 3], and [Eq. (44), dotted line 4].

Image of FIG. 5.
FIG. 5.

The imaginary part of the normalized dynamic susceptibility vs for various values of and . Solid lines are the continued fraction solution [Eqs. (12) and (31)]. The Debye spectra [Eq. (49)] are shown by dotted lines with asterisks. Dotted and dashed lines: the low- and high-frequency asymptotes [Eqs. (13) and (14)].

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/content/aip/journal/jcp/124/2/10.1063/1.2140281
2006-01-11
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Thermally activated escape rate for a Brownian particle in a double-well potential for all values of the dissipation
http://aip.metastore.ingenta.com/content/aip/journal/jcp/124/2/10.1063/1.2140281
10.1063/1.2140281
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