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Multidimensional master equation and its Monte-Carlo simulation
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10.1063/1.4792300
/content/aip/journal/jcp/138/8/10.1063/1.4792300
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/8/10.1063/1.4792300
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

The norms of the ME approach and the LE simulation versus the operation time of computer.

Image of FIG. 2.
FIG. 2.

The 2D metastable potential with ω r = 9.0, ω b = 9.0, x r = −1.0, ω12 = 0.5, and ω22 = 8.0.

Image of FIG. 3.
FIG. 3.

The probability density function of particle along the x 1-direction in the 2D metastable potential at t = 5.0. The above and blow figures are calculated by the ME approach and Langevin simulation of test particles, respectively.

Image of FIG. 4.
FIG. 4.

Time-dependent escape rate of the particle calculated by two methods.

Image of FIG. 5.
FIG. 5.

The total MC costs and comparative time for the 2D escape rate as functions of temperature for two methods. The open squares and circles are the results of Langevin simulation and ME approach, respectively. The parameters used are N = 1.0 × 105 and Δt = 0.01, others are written in Fig. 2 .

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/content/aip/journal/jcp/138/8/10.1063/1.4792300
2013-02-26
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Multidimensional master equation and its Monte-Carlo simulation
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/8/10.1063/1.4792300
10.1063/1.4792300
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