[КНИГА][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 …
model are simplicity and universality. Universal models which can be applied to describe a …
Internal mode mechanism for collective energy transport in extended systems
We study directed energy transport in homogeneous nonlinear extended systems in the
presence of homogeneous ac forces and dissipation. We show that the mechanism …
presence of homogeneous ac forces and dissipation. We show that the mechanism …
Discrete soliton ratchets driven by biharmonic fields
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 …
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 …
situation. Parrondo's game consists of two individual games, game A and game B. Game A …
The Frenkel–Kontorova model
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 …
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 …
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 …
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
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 …
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 …
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
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 …
Kontorova model), with dissipative, pulsating (or ratchet) dynamics as a model of transport …