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Quantization and fractional quantization of currents in periodically driven stochastic systems. II. Full counting statistics
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10.1063/1.3703329
/content/aip/journal/jcp/136/15/10.1063/1.3703329
http://aip.metastore.ingenta.com/content/aip/journal/jcp/136/15/10.1063/1.3703329
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

The “2-nodes-2-links” model of stochastic transitions between two states along two possible paths. Different paths are characterized by the values of the corresponding potential barriers W 1 and W 2. The two states are characterized by the values of their well depths, E 1 and E 2. Periodic modulation of these parameters leads to appearance of a nonzero, on average, circulating current in the preferred (clockwise or counterclockwise) direction.

Image of FIG. 2.
FIG. 2.

Two steps (a) W 1 < W 1 and (b) W 1 > W 2. At the low-temperature limit, the effective model is a diffusion on a tree graph that consist only of one link and two sites.

Image of FIG. 3.
FIG. 3.

A graph with 2 nodes and N links. Nodes are characterized by energies E 1 and E 2. There are two sets of links that are permanently degenerate, so that links with numbers 1,…M have the same barrier size W 2, and the links with numbers M + 1, …N have barrier size W 1.

Image of FIG. 4.
FIG. 4.

Effective kinetic models that describe evolution of the system in Fig. 3 in the limit of low temperature for (a) the case of W 1 < W 2 and (b) the case of W 1 > W 2.

Image of FIG. 5.
FIG. 5.

Contour of integration.

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/content/aip/journal/jcp/136/15/10.1063/1.3703329
2012-04-19
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Quantization and fractional quantization of currents in periodically driven stochastic systems. II. Full counting statistics
http://aip.metastore.ingenta.com/content/aip/journal/jcp/136/15/10.1063/1.3703329
10.1063/1.3703329
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