[图书][B] The Frenkel-Kontorova model: concepts, methods, and applications

OM Braun, YS Kivshar - 2004 - Springer
Theoretical physics deals with physical models. The main requirements for a good physical
model are simplicity and universality. Universal models which can be applied to describe a …

Internal mode mechanism for collective energy transport in extended systems

L Morales-Molina, NR Quintero, FG Mertens… - Physical review …, 2003 - APS
We study directed energy transport in homogeneous nonlinear extended systems in the
presence of homogeneous ac forces and dissipation. We show that the mechanism …

Discrete soliton ratchets driven by biharmonic fields

Y Zolotaryuk, M Salerno - Physical Review E—Statistical, Nonlinear, and Soft …, 2006 - APS
Directed motion of topological solitons (kinks or antikinks) in the damped and ac-driven
discrete sine-Gordon system is investigated. We show that if the driving field breaks certain …

Extended Parrondo's game and Brownian ratchets: Strong and weak Parrondo effect

D Wu, KY Szeto - Physical Review E, 2014 - APS
Inspired by the flashing ratchet, Parrondo's game presents an apparently paradoxical
situation. Parrondo's game consists of two individual games, game A and game B. Game A …

The Frenkel–Kontorova model

LM Floría, C Baesens… - Dynamics of coupled …, 2005 - books.google.com
In the preface to his monograph on the structure of Evolutionary Theory [1], the late professor
Stephen Jay Gould attributes to the philosopher Immanuel Kant the following aphorism in …

Currents in defective coupled ratchets

AJ Fendrik, L Romanelli, MV Reale - … Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
Transport phenomena in a one-dimensional system of interacting particles is studied. This
system is embedded in a periodic and left-right asymmetric potential driven by a force …

Deterministic collective directional transport in one-dimensional flashing ratchet potentials

H Chen, Z Zheng - Modern Physics Letters B, 2011 - World Scientific
In the absence of thermal fluctuations and other external forces, a single particle will be
pinned at the bottom of a flashing ratchet potential under the overdamped condition …

Directed transport of modulated structures in the Frenkel–Kontorova model with a pulsating coupling

LM Florıa, PJ Martınez, S Flach, MV Fistul - Physica D: Nonlinear …, 2004 - Elsevier
We study the directed transport of commensurate and incommensurate modulated phases of
the Frenkel–Kontorova model by (parametric driving) periodic pulsed variation of the nearest …

Ratchets in homogeneous extended systems: internal modes and the role of noise

A Sánchez, L Morales-Molina, FG Mertens… - Fluctuation and Noise …, 2004 - World Scientific
We revisit the issue of directed motion induced by zero average forces in extended systems
driven by ac forces. It has been shown recently that a directed energy current appears if the …

The Transport Speed and Optimal Work in Pulsating Frenkel–Kontorova Models

B Rabar, S Slijepčević - Communications in mathematical physics, 2019 - Springer
We consider a generalized one-dimensional chain in a periodic potential (the Frenkel–
Kontorova model), with dissipative, pulsating (or ratchet) dynamics as a model of transport …