Optimal diffusive transport in a tilted periodic potential

被引：172

作者：

Lindner, B ^{[1
]}

Kostur, M ^{[1
]}

Schimansky-Geier, L ^{[1
]}

机构：

[1] Humboldt Univ, Inst Phys, D-10115 Berlin, Germany

来源：

FLUCTUATION AND NOISE LETTERS | 2001年 / 1卷 / 01期

关键词：

brownian motion; diffusion; periodic potentials; transport;

D O I：

10.1142/S0219477501000056

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the diffusive motion of an overdamped Brownian particle in a tilted periodic potential. Mapping the continuous dynamics onto. a discrete cumulative process we find exact expressions for the diffusion coefficient and the Peclet number which characterize the transport. At a sufficiently strong but subcritical bias an optimized transport with respect to the noise strength is observed. These results are confirmed by numerical solution of the Fokker-Planck equation.

引用

页码：R25 / R39

页数：15

共 16 条

[1] Threshold diffusion in a tilted washboard potential [J].

Costantini, G ;

Marchesoni, F .

EUROPHYSICS LETTERS, 1999, 48 (05) :491-497

[2]

Cox D. R, 1962, RENEWAL THEORY

[3] DIFFUSION-COEFFICIENT FOR A BROWNIAN PARTICLE IN A PERIODIC FIELD OF FORCE .1. LARGE FRICTION LIMIT [J].

FESTA, R ;

DAGLIANO, EG .

PHYSICA A, 1978, 90 (02) :229-244

[4] Diffusion in discrete ratchets [J].

Freund, JA ;

Schimansky-Geier, L .

PHYSICAL REVIEW E, 1999, 60 (02) :1304-1309

[5] PROBLEM OF BROWNIAN-MOTION IN A PERIODIC POTENTIAL [J].

FULDE, P ;

PIETRONERO, L ;

SCHNEIDER, WR ;

STRASSLER, S .

PHYSICAL REVIEW LETTERS, 1975, 35 (26) :1776-1779

[6]

Gardiner C. W., 1985, HDB STOCHASTIC METHO, V3

[7] DYNAMICS OF NON-LINEAR SYSTEMS - THE HEAVY DAMPING LIMIT [J].

GUYER, RA .

PHYSICAL REVIEW B, 1980, 21 (10) :4484-4499

[8] NOISE-INDUCED SYNCHRONOUS NEURONAL OSCILLATIONS [J].

KURRER, C ;

SCHULTEN, K .

PHYSICAL REVIEW E, 1995, 51 (06) :6213-6218

[9]

LANDAU LD, 1971, LEHRBUCH THEORETISCH, V6

[10] Analytical approach to the stochastic FitzHugh-Nagumo system and coherence resonance [J].

Lindner, B ;

Schimansky-Geier, L .

PHYSICAL REVIEW E, 1999, 60 (06) :7270-7276

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