1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Rectified Brownian transport in corrugated channels: Fractional Brownian motion and Lévy flights
Rent:
Rent this article for
USD
10.1063/1.4764472
/content/aip/journal/jcp/137/17/10.1063/1.4764472
http://aip.metastore.ingenta.com/content/aip/journal/jcp/137/17/10.1063/1.4764472
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Schematic diagram of a channel with periodicity L. The shape is described by the radius of the channel .

Image of FIG. 2.
FIG. 2.

The spectral density P(f) for H = 0.3, H = 0.5, and H = 0.7.

Image of FIG. 3.
FIG. 3.

Average velocity V as a function of the Hurst exponent H. (a) H < 0.5, (b) H > 0.5. The other parameters are a = 0.5, b = 0.7, D = 0.5, Δ = −1.0, and L = 1.0.

Image of FIG. 4.
FIG. 4.

Average velocity V as a function of the asymmetric parameter Δ at H = 0.3. The other parameters are a = 0.5, b = 0.7, D = 0.5, and L = 1.0.

Image of FIG. 5.
FIG. 5.

Average velocity V as a function of the periodicity L for different values of H. The other parameters are a = 0.5, b = 0.7, D = 0.5, and Δ = −1.0.

Image of FIG. 6.
FIG. 6.

Average velocity V as a function of r b for different values of H. The other parameters are a = 0.5, D = 0.5, Δ = −1.0, and L = 1.0.

Image of FIG. 7.
FIG. 7.

Comparison of the trajectories of Brownian motion (α = 2.0) and the Lévy flights (α = 1.1, 1.5).

Image of FIG. 8.
FIG. 8.

Group velocity V g as a function of the asymmetric parameter Δ. The other parameters are α = 1.1, a = 0.5, b = 0.7, D = 0.5, and L = 1.

Image of FIG. 9.
FIG. 9.

Group velocity V g as a function of the Lévy index α for different values of Δ. The other parameters are a = 0.5, b = 0.7, D = 0.5, and L = 1.

Loading

Article metrics loading...

/content/aip/journal/jcp/137/17/10.1063/1.4764472
2012-11-02
2014-04-24
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Rectified Brownian transport in corrugated channels: Fractional Brownian motion and Lévy flights
http://aip.metastore.ingenta.com/content/aip/journal/jcp/137/17/10.1063/1.4764472
10.1063/1.4764472
SEARCH_EXPAND_ITEM