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Trajectory tracking of nonlinear dynamical systems with affine open-loop controls is investigated. The control task is to enforce the system state to follow a prescribed desired trajectory as closely as possible. We introduce exactly…

Optimization and Control · Mathematics 2016-03-03 Jakob Löber

We present a prescription for generating pure spin current or spin selective current, based on adiabatic quantum pumping in a tight-binding model of a one dimensional conductor. A formula for the instantaneous pumped current is derived…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sungjun Kim , Kunal K. Das , Ari Mizel

We point out that in higher dimensions, in contrast to the one dimensional case considered usually, Bloch oscillation driven by a static force can induce transport of the wave packet. The wave packet oscillates constantly, but on a larger…

Quantum Physics · Physics 2012-11-06 J. M. Zhang , W. M. Liu

We study a class of mass transport models where mass is transported in a preferred direction around a one-dimensional periodic lattice and is globally conserved. The model encompasses both discrete and continuous masses and parallel and…

Statistical Mechanics · Physics 2009-11-10 M. R. Evans , Satya N. Majumdar , R. K. P. Zia

We consider transport properties of a double delta-kicked system, in a regime where all the symmetries (spatial and temporal) that could prevent directed transport are removed. We analytically investigate the (non trivial) behavior of the…

Chaotic Dynamics · Physics 2009-11-13 Lucia Cavallasca , Roberto Artuso , Giulio Casati

We report on a theoretical study of transport properties of two coupled Josephson junctions and compare two scenarios for controlling the current-voltage characteristics when the system is driven by an external biased DC current and…

Superconductivity · Physics 2012-02-20 J. Spiechowicz , L. Machura , M. Kostur , J. Luczka

We study nonequilibrium spin dynamics in differentially rotating systems, deriving an effective Hamiltonian for conduction electrons in the comoving frame. In contrast to conventional spin current generation mechanisms that require…

Mesoscale and Nanoscale Physics · Physics 2025-02-19 Takumi Funato , Shunichiro Kinoshita , Norihiro Tanahashi , Shin Nakamura , Mamoru Matsuo

We demonstrate a direct approach to investigate heat transport in the fractional quantum Hall regime. At filling factor of 4/3, we inject power at quantum point contacts and detect the related heating from the activated current through a…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 C. Altimiras , H. le Sueur , U. Gennser , A. Anthore , A. Cavanna , D. Mailly , F. Pierre

Cells move differently on substrates with different elasticities. In particular, the persistence time of their motion is higher on stiffer substrates. We show that this behavior will result in a net transport of cells directed up a…

Biological Physics · Physics 2017-03-09 Elizaveta A. Novikova , Matthew Raab , Dennis E. Discher , Cornelis Storm

We consider mechanisms of directed transport in a ratchet model comprising, besides the external freedom where transport occurs, a chemical freedom that replaces the familiar external driving by an autonomous dynamics providing energy…

Chemical Physics · Physics 2015-05-18 Thomas Dittrich , Nestor A. Naranjo

We consider the magnetic field induced by the steady or the quasi-steady electric currents that flow along the straight wires, which are equidistantly arranged on the hyperboloid. The spatial distribution of the magnetic field and the force…

Physics Education · Physics 2026-04-01 Roman Krcmar , Andrej Gendiar , Tomotoshi Nishino

In this paper, we present a novel method to drive a nonlinear system to a desired state, with limited a priori knowledge of its dynamic model: local dynamics at a single point and the bounds on the rate of change of these dynamics. This…

Optimization and Control · Mathematics 2025-08-08 Yiming Meng , Taha Shafa , Jesse Wei , Melkior Ornik

A confined system of non-interacting electrons, subject to the combined effect of a time-dependent potential and different external chemical-potentials, is considered. The current flowing through such a system is obtained for arbitrary…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. Entin-Wohlman , A. Aharony , Y. Levinson

There had been consensus on what the accurate ac quantum transport theory was until some recent works challenged the conventional wisdom. Basing on the non-equilibrium Green's function formalism for time-dependent quantum transport, we…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 JianQiao Zhang , ZhenYu Yin , Xiao Zheng , ChiYung Yam , GuanHua Chen

We study numerically an electronic transport in strongly anisotropic weakly disorderd two-dimensional systems. We find that the conductance distribution is gaussian but the conductance fluctuations increase when anisotropy becomes stronger.…

Condensed Matter · Physics 2009-10-31 Peter Markos

We present a comprehensive account of directed transport in one-dimensional Hamiltonian systems with spatial and temporal periodicity. They can be considered as Hamiltonian ratchets in the sense that ensembles of particles can show directed…

Chaotic Dynamics · Physics 2007-05-23 Holger Schanz , Thomas Dittrich , Roland Ketzmerick

In this paper we revisit a class of optimal transport problems associated to non-autonomous linear control systems. Building on properties of the cost functions on $\mathbb{R}^{d}\times\mathbb{R}^{d}$ derived from suitable variational…

Optimization and Control · Mathematics 2025-05-26 Amit Einav , Yue Jiang , Alpár R. Mészáros

We propose a random matrix theory to describe the influence of a time-dependent external field on electron transport through open quantum dots. We describe the generation of the current by an oscillating field for the dot, connected to two…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Maxim G. Vavilov , V. Ambegaokar , Igor L. Aleiner

Advances in fabrication and control of quantum dots allow the realization of metastructures that may exhibit novel electrical transport phenomena. Here, we investigate the electrical current passing through one such metastructure, a system…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 Chen-Yen Lai , Massimiliano Di Ventra , Michael Scheibner , Chih-Chun Chien

We report a theory for analyzing nonlinear DC transport properties of mesoscopic or nanoscopic normal-superconducting (N-S) systems. Special attention was paid such that our theory satisfies gauge invariance. At the linear transport regime…

Condensed Matter · Physics 2009-10-31 Jian Wang , Yadong Wei , Hong Guo , Qing-feng Sun , Tsung-han Lin
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