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Related papers: Criticality-induced universality in ratchets

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We develop a statistical theory of waveform shaping of incident waves that aim to efficiently deliver energy at weakly lossy targets which are embedded inside chaotic enclosures. Our approach utilizes the universal features of chaotic…

Disordered Systems and Neural Networks · Physics 2018-07-25 Huanan Li , Suwun Suwunnarat , Tsampikos Kottos

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 ac external force, $f(t)$, breaks the symmetry $f(t) =…

We uncover and characterize different chaotic transport scenarios on perfect periodic surfaces by controlling the chaotic dynamics of particles subjected to periodic external forces in the absence of a ratchet effect. After identifying…

Chaotic Dynamics · Physics 2010-03-26 R. Chacon , A. M. Lacasta

The unreduced, universally nonperturbative analysis of arbitrary interaction process, described by a quite general equation, provides the truly complete, "dynamically multivalued" general solution that leads to dynamically derived,…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk

We present a minimal one-dimensional deterministic continuous dynamical system that exhibits chaotic behavior and complex transport properties. Our model is an overdamped rocking ratchet that is periodically kicked with a delta function…

Statistical Mechanics · Physics 2015-03-11 Daniel G. Zarlenga , Hilda A. Larrondo , Miguel Arizmendi , Fereydoon Family

In a recent paper by Casado-Pascual [Phys. Rev. E \textbf{97}, 032219 (2018)], directed motion of a sphere immersed in a viscous fluid and subjected to zero-average biharmonic forces is studied. The author explains the dependence on the…

Fluid Dynamics · Physics 2021-10-20 Pedro J. Martínez , Ricardo Chacón

Ratchet models are prominent candidates to describe the transport phenomenum in nature in the absence of external bias. This work analyzes the parameter space of a discrete ratchet model and gives direct connections between chaotic domains…

Chaotic Dynamics · Physics 2011-11-08 Alan Celestino , Cesar Manchein , Holokx A. Albuquerque , Marcus W. Beims

Previous work [Gong and Brumer, Phys. Rev. Lett., 97, 240602 (2006)] motivates this study as to how asymmetry-driven quantum ratchet effects can persist despite a corresponding fully chaotic classical phase space. A simple perspective of…

Chaotic Dynamics · Physics 2015-05-13 Jordan Pelc , Jiangbin Gong , Paul Brumer

Electronic transport through chaotic quantum dots exhibits universal, system independent, properties, consistent with random matrix theory. The quantum transport can also be rooted, via the semiclassical approximation, in sums over the…

Chaotic Dynamics · Physics 2013-03-06 Gregory Berkolaiko , Jack Kuipers

We address the problem of the classical deterministic dynamics of a particle in a periodic asymmetric potential of the ratchet type. We take into account the inertial term in order to understand the role of the chaotic dynamics in the…

chao-dyn · Physics 2009-10-31 Jose L. Mateos

Spacetime and internal symmetries can be used to severely restrict the form of the equations for the fundamental laws of physics. The success of this approach in the context of general relativity and particle physics motivates the…

General Relativity and Quantum Cosmology · Physics 2017-02-16 Saurya Das , Gabor Kunstatter

The ratchet phenomenon is a means to get directed transport without net forces. Originally conceived to rectify stochastic motion and describe operational principles of biological motors, the ratchet effect can be used to achieve…

Quantum Gases · Physics 2016-03-11 Christopher Grossert , Martin Leder , Sergey Denisov , Peter Hänggi , Martin Weitz

We study experimentally a quantum kicked rotor with broken parity symmetry, supporting a ratchet effect due to the presence of a classical accelerator mode. We show that the short-time dynamics is very well described by the classical…

Recent advances in nonequilibrium statistical mechanics shed new light on the ratchet effect. The ratchet motion can thus be understood in terms of symmetry (breaking) considerations. We introduce an additional symmetry operation besides…

Statistical Mechanics · Physics 2015-05-14 Wojciech De Roeck , Christian Maes

We explore the non-linear dynamics of two parallel periodically patterned metal surfaces that are coupled by the zero-point fluctuations of the electromagnetic field between them. The resulting Casimir force generates for asymmetric…

Statistical Mechanics · Physics 2008-11-26 Thorsten Emig

Locally broken symmetries are used across fields to transport matter, particles and information in preferential directions. Beyond local mechanisms, spatially distributed nonlinearities in crystalline media have enabled non-reciprocal…

Soft Condensed Matter · Physics 2026-03-31 Aaron Winn , Justine Parmentier , Eleni Katifori , Martin Brandenbourger

Classical Hamiltonian systems with a mixed phase space and some asymmetry may exhibit chaotic ratchet effects. The most significant such effect is a directed momentum current or acceleration. In known model systems, this effect may arise…

Chaotic Dynamics · Physics 2012-05-29 Itzhack Dana , Vladislav B. Roitberg

The notion of a physical collapse of the wave function is embodied in dynamical collapse models. These involve a modification of the unitary evolution of the wave function such as to give a dynamical account of collapse. The resulting…

Quantum Physics · Physics 2017-04-12 Daniel Bedingham , Owen Maroney

The problem of the classical deterministic dynamics of a particle in a periodic asymmetric potential of the ratchet type is addressed. When the inertial term is taken into account, the dynamics can be chaotic and modify the transport…

Condensed Matter · Physics 2007-05-23 José L. Mateos

We study analytically and numerically the ratchet transport of interacting particles induced by a monochromatic driving in asymmetric two-dimensional structures. The ratchet flow is preserved in the limit of strong interactions and can…

Statistical Mechanics · Physics 2008-10-30 A. D. Chepelianskii , M. V. Entin , L. I. Magarill , D. L. Shepelyansky