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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

Reconfigurable intelligent surface (RIS)-aided networks have been investigated for the purpose of improving the system performance. However, the introduced unit modulus phase shifts and coupling characteristic bring enormous challenges to…

Information Theory · Computer Science 2021-08-19 Biqian Feng , Junyuan Gao , Yongpeng Wu , Wenjun Zhang , Xiang-Gen Xia , Chengshan Xiao

Energy harvesting can enable a reconfigurable intelligent surface (RIS) to self-sustain its operations without relying on external power sources. In this paper, we consider the problem of energy harvesting for RISs in the absence of…

Signal Processing · Electrical Eng. & Systems 2023-11-07 Morteza Tavana , Meysam Masoudi , Emil Björnson

Quantum mechanical motion of a particle in a periodic asymmetric potential is studied theoretically at zero temperature. It is shown based on semi-classical approximation that the tunneling probability from one local minimum to the next…

Statistical Mechanics · Physics 2009-10-30 Gen Tatara , Macoto Kikuchi , Satoshi Yukawa , Hiroshi Matsukawa

By means of electrical transport measurements we have studied the rectified motion of vortices in ratchet potentials engineered on over-damped Josephson junction arrays. The rectified voltage as a function of the vortex density shows a…

Superconductivity · Physics 2007-05-23 D. E. Shalom , H. Pastoriza

We combine the processes of resetting and first-passage to define \emph{first-passage resetting}, where the resetting of a random walk to a fixed position is triggered by a first-passage event of the walk itself. In an infinite domain,…

Statistical Mechanics · Physics 2021-06-22 B. De Bruyne , J. Randon-Furling , S. Redner

A serious obstacle that impedes the application of low and high temperature superconductor (SC) devices is the presence of trapped flux. Flux lines or vortices are induced by fields as small as the Earth's magnetic field. Once present,…

Superconductivity · Physics 2009-10-31 Choongseop Lee , Boldizsar Janko , Imre Derenyi , Albert-Laszlo Barabasi

Critical behavior at an order/disorder phase transition has been a central object of interest in statistical physics. In the past century, techniques borrowed from many different fields of mathematics (Algebra, Combinatorics, Probability,…

Mathematical Physics · Physics 2017-07-18 Hugo Duminil-Copin

The sensitivity of the random field Ising model to small random perturbations of the quenched disorder is studied via exact ground states obtained with a maximum-flow algorithm. In one and two space dimensions we find a mild form of chaos,…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Alava , H. Rieger

The currents generated by noise-induced activation processes in a periodic potential are investigated analytically, by digital simulation and by performing analogue experiments.

Statistical Mechanics · Physics 2009-10-31 M. Arrayas , R. Mannella , P. V. E. McClintock , A. J. McKane , N. D. Stein

It has been recently found that the so called isoperiodic stable structures (ISSs) have a fundamental role in the classical current behavior of dissipative ratchets [Phys. Rev. Lett. {\bf 106}, 234101 (2011)]. Here I analyze their quantum…

Quantum Physics · Physics 2012-01-31 Gabriel G. Carlo

We propose a method for approximating solutions to optimization problems involving the global stability properties of parameter-dependent continuous-time autonomous dynamical systems. The method relies on an approximation of the…

Optimization and Control · Mathematics 2013-08-12 Péter Koltai , Alexander Volf

We have developed the {\it general method} for the description of {\it separatrix chaos}, basing on the analysis of the separatrix map dynamics. Matching it with the resonant Hamiltonian analysis, we show that, for a given amplitude of…

Chaotic Dynamics · Physics 2007-11-01 S. M. Soskin , R. Mannella , O. M. Yevtushenko

Fuel-optimal trajectories are inherently sensitive to variations in model parameters, such as propulsion system thrust magnitude. This inherent sensitivity can lead to dispersions in cost-functional values, when model parameters have…

Optimization and Control · Mathematics 2024-09-09 Praveen Jawaharlal Ayyanathan , Ehsan Taheri

Ratchet devices allow turning an ac input signal into a dc output signal. A ratchet device is set by moving particles driven by zero averages forces on asymmetric potentials. Hybrid nanostructures combining artificially fabricated spin-ice…

Superconductivity · Physics 2021-08-23 V. Rollano , A. Gomez , A. Muñoz-Noval , M. Velez , M. C. de Ory , M. Menghini , E. M. Gonzalez , J L Vicent

By exploiting the nonlinear amplification of the power deposition of RF waves, current condensation promises new pathways to the stabilisation of magnetic islands. We present a numerical analysis of current condensation, coupling a…

It has been proposed to make practical use of chaos in communication, in enhancing mixing in chemical processes and in spreading the spectrum of switch-mode power suppies to avoid electromagnetic interference. It is however known that for…

chao-dyn · Physics 2009-10-31 Soumitro Banerjee , James A. Yorke , Celso Grebogi

Cascading failure causes a major risk to society currently. To effectively mitigate the risk, dynamic thermal rating (DTR) technique can be applied as a cost-effective strategy to exploit potential transmission capability. From the…

Systems and Control · Electrical Eng. & Systems 2022-09-21 Qinfei Long , Junhong Liu , Chenhao Ren , Wenqian Yin , Feng Liu , Yunhe Hou

We present a perturbative study of the response of cold atoms in an optical lattice to a weak time- and space-asymmetric periodic driving signal. In the noninteracting limit, and for a finite set of resonant frequencies, we show how a…

Quantum Gases · Physics 2015-05-18 Martin Heimsoth , Charles E. Creffield , Fernando Sols

A reservoir computer (RC) is a type of simplified recurrent neural network architecture that has demonstrated success in the prediction of spatiotemporally chaotic dynamical systems. A further advantage of RC is that it reproduces intrinsic…

Neural and Evolutionary Computing · Computer Science 2022-01-25 Jason A. Platt , Stephen G. Penny , Timothy A. Smith , Tse-Chun Chen , Henry D. I. Abarbanel
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