Intermittency and deterministic diffusion in chaotic ratchets

被引：8

作者：

Mateos, Jose L. ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Fis, Apartado Postal 20-364, Mexico City 01000, DF, Mexico

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2003年 / 8卷 / 3-4期

关键词：

Ratchets; Chaotic transport; Intermittency; Deterministic diffusion; Brownian motors;

D O I：

10.1016/S1007-5704(03)00042-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the problem of deterministic transport of particles in an asymmetric periodic ratchet potential of the rocking type. When the inertial term is taken into account, the dynamics can be chaotic and modify the transport properties. We calculate the bifurcation diagram as a function of the amplitude of forcing and analyze in detail the crisis bifurcation that leads to current reversals. Near this bifurcation we obtain intermittency and anomalous deterministic diffusion. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：253 / 263

页数：11

共 35 条

[11] Ratchet effect: Demonstration of a relativistic fluxon diode [J].

Carapella, G ;

Costabile, G .

PHYSICAL REVIEW LETTERS, 2001, 87 (07) :77002-1

[12] Relativistic flux quantum in a field-induced deterministic ratchet [J].

Carapella, G .

PHYSICAL REVIEW B, 2001, 63 (05)

[13] Ratchet models using driving forces generated by deterministic chaotic maps [J].

Chang, CH .

PHYSICAL REVIEW E, 2002, 66 (01)

[14] Mirror symmetry breaking through an internal degree of freedom leading to directional motion -: art. no. 031110 [J].

Cilla, S ;

Falo, F ;

Floría, LM .

PHYSICAL REVIEW E, 2001, 63 (03) :031110-031110

[15] Manipulation of dynamical systems by symmetry breaking [J].

Denisov, S ;

Klafter, J ;

Urbakh, M .

PHYSICAL REVIEW E, 2002, 66 (04) :4-046203

[16] Broken space-time symmetries and mechanisms of rectification of ac fields by nonlinear (non)adiabatic response [J].

Denisov, S ;

Flach, S ;

Ovchinnikov, AA ;

Yevtushenko, O ;

Zolotaryuk, Y .

PHYSICAL REVIEW E, 2002, 66 (04) :10-041104

[17] Dynamical mechanisms of dc current generation in driven Hamiltonian systems [J].

Denisov, S ;

Flach, S .

PHYSICAL REVIEW E, 2001, 64 (05) :4

[18] DC currents in Hamiltonian systems by Levy flights [J].

Denisov, S ;

Klafter, J ;

Urbakh, M ;

Flach, S .

PHYSICA D-NONLINEAR PHENOMENA, 2002, 170 (02) :131-142

[19] Particle with internal dynamical asymmetry: chaotic self-propulsion and turning [J].

Denisov, S .

PHYSICS LETTERS A, 2002, 296 (4-5) :197-203

[20] Stochastic resonance [J].

Gammaitoni, L ;

Hanggi, P ;

Jung, P ;

Marchesoni, F .

REVIEWS OF MODERN PHYSICS, 1998, 70 (01) :223-287

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