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Related papers: Feedback control of colloidal transport

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We have previously shown an analysis of our dimer model in the over-damped regime to show directed transport in equilibrium. Here we analyze the full model with inertial terms present to establish the same result. First we derive the…

Statistical Mechanics · Physics 2011-08-16 A. Bhattacharyay

We consider the properties of a one dimensional fluid of brownian inertial hard-core particles, whose microscopic dynamics is partially damped by a heat-bath. Direct interactions among the particles are represented as binary, instantaneous…

Statistical Mechanics · Physics 2007-05-23 Marini Bettolo Marconi Umberto , Tarazona Pedro

We use computer simulations to study the onset of collective motion in systems of interacting active particles. Our model is a swarm of active Brownian particles with internal energy depot and interactions inspired by the dissipative…

Statistical Mechanics · Physics 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy

We propose a feedback scheme to control the vibrational motion of a single trapped particle based on indirect measurements of its position. It results the possibility of a motional phase space uncertainty contraction, correponding to cool…

Quantum Physics · Physics 2008-12-18 Stefano Mancini , David Vitali , Paolo Tombesi

We consider a robust stabilization of the fourth-order oscillatory systems with non-collocated output sensing. Worth recalling is that the fourth-order systems are relatively common in mechatronics as soon as there are two-mass or more…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Michael Ruderman

Robust control of complex engineered and biological systems hinges on the integration of feedforward and feedback mechanisms. This is exemplified in neural motor control, where feedforward muscle co-contraction complements sensory-driven…

Optimization and Control · Mathematics 2026-03-06 Bastien Berret , Frédéric Jean

How frictional effects emerge at the microscopic level in particulate materials remains a challenging question, particularly in systems subject to thermal fluctuations due to the transient nature of interparticle contacts. Here, we directly…

Soft Condensed Matter · Physics 2025-08-12 Berend van der Meer , Taiki Yanagishima , Roel P. A. Dullens

We consider an active Brownian particle in a $d$-dimensional harmonic trap, in the presence of translational diffusion. While the Fokker-Planck equation can not in general be solved to obtain a closed form solution of the joint distribution…

Statistical Mechanics · Physics 2021-12-23 Debasish Chaudhuri , Abhishek Dhar

Limitations of the delayed feedback control and of its extended versions have been fully treated in the literature. The oscillating delayed feedback control appears as a promising scheme to overcome this problem. In this work, two methods…

Dynamical Systems · Mathematics 2018-05-25 Verónica E. Pastor , Graciela González

We perform a detailed analysis of the non stationary solutions of the evolution (Fokker-Planck) equations associated to either stationary or non stationary quantum states by the stochastic mechanics. For the excited stationary states of…

Motivated by applications in queueing theory, we consider a class of singular stochastic control problems whose state space is the d-dimensional positive orthant. The original problem is approximated by a drift control problem, to which we…

Systems and Control · Electrical Eng. & Systems 2024-04-18 Baris Ata , J. Michael Harrison , Nian Si

We experimentally and theoretically study the thermodynamically optimal control of interacting multiple-particle systems, focusing on collections of colloidal particles individually confined in optical traps. We investigate protocols that…

Soft Condensed Matter · Physics 2026-03-19 Samuel Monter , Lars T. Stutzer , Sarah A. M. Loos , Clemens Bechinger

Feedback optimization refers to a class of methods that steer a control system to a steady state that solves an optimization problem. Despite tremendous progress on the topic, an important problem remains open: enforcing state constraints…

Optimization and Control · Mathematics 2026-02-11 Giannis Delimpaltadakis , Pol Mestres , Jorge Cortés , W. P. M. H. Heemels

We consider a finite or countable collection of one-dimensional Brownian particles whose dynamics at any point in time is determined by their rank in the entire particle system. Using Transportation Cost Inequalities for stochastic…

Probability · Mathematics 2010-11-11 Soumik Pal , Mykhaylo Shkolnikov

Predictive Feedback Control is an easy-to-implement method to stabilize unknown unstable periodic orbits in chaotic dynamical systems. Predictive Feedback Control is severely limited because asymptotic convergence speed decreases with…

Adaptation and Self-Organizing Systems · Physics 2015-03-17 Christian Bick , Christoph Kolodziejski , Marc Timme

We consider the unidirectional particle transport in a suspension of colloidal particles which interact with each other via a pair potential having a hard-core repulsion plus an attractive tail. The colloids are confined within a long…

Soft Condensed Matter · Physics 2011-06-24 Andrey Pototsky , Andrew J. Archer , Sergey E. Savel'ev , Uwe Thiele , Fabio Marchesoni

The authors consider stochastic aspects of the stabilization problem for two and three-dimensional Oseen equations with help of feedback control defined on a part of the fluid boundary. Stochastic issues arise when inevitable unpredictable…

Analysis of PDEs · Mathematics 2007-05-23 Jinqiao Duan , Andrei V. Fursikov

Finite-time optimal feedback control for flow networks under information constraints is studied. By utilizing the framework of multi-parametric linear programming, it is demonstrated that when cost/constraints can be modeled or approximated…

Systems and Control · Computer Science 2019-09-24 Saeid Jafari , Ketan Savla

In systems possessing spatial or dynamical symmetry breaking, Brownian motion combined with symmetric external input signals, deterministic or random, alike, can assist directed motion of particles at the submicron scales. In such cases,…

Statistical Mechanics · Physics 2009-06-05 Peter Hanggi , Fabio Marchesoni

We study the coherence of transport of an overdamped Brownian particle in frictional ratchet system in the presence of external Gaussian white noise fluctuations. The analytical expressions for the particle velocity and diffusion…

Statistical Mechanics · Physics 2009-11-11 Raishma Krishnan , Debasis Dan , A. M. Jayannavar