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For systems in an externally controllable time-dependent potential, the optimal protocol minimizes the mean work spent in a finite-time transition between two given equilibrium states. For overdamped dynamics which ignores inertia effects,…

Statistical Mechanics · Physics 2008-07-23 Alex Gomez-Marin , Tim Schmiedl , Udo Seifert

Single-molecule force spectroscopy experiments, as well as a number of other physical systems, are governed by thermally activated transitions out of a metastable state under the action of a steadily increasing external force. The main…

Soft Condensed Matter · Physics 2009-11-13 Sebastian Getfert , Mykhaylo Evstigneev , Peter Reimann

We discuss intermittent time series consisting of discrete bursts or avalanches separated by waiting or silent times. The short time correlations can be understood to follow from the properties of individual avalanches, while longer time…

Statistical Mechanics · Physics 2009-11-13 Lasse Laurson , Xavier Illa , Mikko J. Alava

Current metrological bounds typically assume full control over all particles that are involved in the protocol. Relaxing this assumption we study metrological performance when only limited control is available. As an example, we measure a…

Quantum Physics · Physics 2020-04-08 Benedikt Tratzmiller , Qiong Chen , Ilai Schwartz , Susana F. Huelga , Martin B. Plenio

A scheme to control the many-boson tunneling process to open space is derived and demonstrated. The number of ejected particles and their velocities can be controlled by two parameters, the threshold of the potential and the interparticle…

A complete self-control mechanism is proposed in the dynamics of neural networks through the introduction of a time-dependent threshold, determined in function of both the noise and the pattern activity in the network. Especially for…

Statistical Mechanics · Physics 2009-10-31 D. R. C. Dominguez , D. Bolle

Timeout control is a simple mechanism used when direct feedback is either impossible, unreliable, or too costly, as is often the case in distributed systems. Its effectiveness is determined by a timeout threshold parameter and our goal is…

Optimization and Control · Mathematics 2015-03-20 Ali Kebarighotbi , Christos G. Cassandras

We consider the motion of a overdamped Brownian particle in periodic asymmetric potential with space dependent friction coefficient. In the presence of external time periodic forcing, the system shows multiple current reversals on varying…

Statistical Mechanics · Physics 2007-05-23 Debasis Dan , A. M. Jayannavar , Mangal C. Mahato

The control of chemical reactions is a recurring theme in physics and chemistry. Traditionally, chemical reactions have been investigated by tuning thermodynamic parameters, such as temperature or pressure. More recently, physical methods…

Atomic Physics · Physics 2012-09-28 Lothar Ratschbacher , Christoph Zipkes , Carlo Sias , Michael Köhl

We prove a general existence result in stochastic optimal control in discrete time where controls take values in conditional metric spaces, and depend on the current state and the information of past decisions through the evolution of a…

Optimization and Control · Mathematics 2018-12-19 Asgar Jamneshan , Michael Kupper , José Miguel Zapata

The dynamics of a system interacting with an ultrashort pulse is known to depend on the phase content of said pulse. For linear absorption, phase control is possible over time-varying quantities, such as the population of metastable states,…

Chemical Physics · Physics 2019-10-31 Cyrille Lavigne , Paul Brumer

Correlated interference is calculated for a microscopic particle retro-reflecting from two spatially separated scatterers that are free to move, all three of which are treated as quantum bodies: the positions of the particle traversing this…

Quantum Physics · Physics 2024-08-15 F. V. Kowalski

The optimal control of passive systems in equilibrium typically favours quasistatic (infinite-time) protocols. We show that a breakdown of quasistatic optimality occurs when the controller itself is dissipative. Concretely, we study a…

Statistical Mechanics · Physics 2026-05-08 Luca Cocconi , Henry Alston , Thibault Bertrand

The question is discussed: to what extent the often assumed independence of the phase of the elastic scattering amplitude from the momentum transfer \textit{in the region of only small values} of $ t $ limits $ t $-dependence of the phase…

High Energy Physics - Phenomenology · Physics 2020-02-25 Vladimir A. Petrov

The study of Brownian ratchets has taught how time-periodic driving supports a time-periodic steady state that generates nonequilibrium transport. When a single particle is transported in one dimension, it is possible to rationalize the…

Statistical Mechanics · Physics 2022-06-22 Nils E. Strand , Hadrien Vroylandt , Todd R. Gingrich

As the energy transition transforms power grids across the globe, it poses several challenges regarding grid design and control. In particular, high levels of intermittent renewable generation complicate the task of continuously balancing…

Optimization and Control · Mathematics 2018-08-07 Randall Martyr , Benjamin Schaefer , Christian Beck , Vito Latora

We consider a class of particle systems which appear in various applications such as approximation theory, plasticity, potential theory and space-filling designs. The positions of the particles on the real line are described as a global…

Analysis of PDEs · Mathematics 2022-10-05 Patrick van Meurs , Ken'ichiro Tanaka

The transitory and stationary behavior of a quantum chaotic ratchet consisting of a biharmonic potential under the effect of different drivings in contact with a thermal environment is studied. For weak forcing and finite $\hbar$, we…

Quantum Physics · Physics 2013-01-31 Gabriel G. Carlo , Leonardo Ermann , F. Borondo , R. M. Benito

The spin torque switching rate of an in-plane magnetized system in the presence of an applied field is derived by solving the Fokker-Planck equation. It is found that three scaling currents are necessary to describe the current dependence…

Mesoscale and Nanoscale Physics · Physics 2014-01-13 Tomohiro Taniguchi , Hiroshi Imamura

Pinning interactions between superconducting vortices in Nb and magnetic Ni dots were studied as a function of current and temperature to clarify the nature of pinning mechanisms. A strong current dependence is found for a square array of…

Superconductivity · Physics 2009-10-31 J. I. Martin , M. Velez , A. Hoffmann , I. K. Schuller , J. L. Vicent