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Information theory provides a useful tool to understand the evolution of complex nonlinear systems and their sustainability. In particular, Fisher Information (FI) has been evoked as a useful measure of sustainability and the variability of…

Dynamical Systems · Mathematics 2016-08-18 Avan Al-Saffar , Eun-jin Kim

Off-resonant optical imaging is the most popular method for continuous monitoring of a Bose-Einstein condensate (BEC). However, the disturbance caused by scattered photons places a serious limitation on the lifetime of such…

Quantum Gases · Physics 2015-06-01 M. R. Hush , S. S. Szigeti , A. R. R. Carvalho , J. J. Hope

During the last decades active particles have attracted an incipient attention as they have been observed in a broad class of scenarios, ranging from bacterial suspension in living systems to artificial swimmers in nonequilibirum systems.…

Statistical Mechanics · Physics 2023-12-19 Antonio A. Valido , Mattia Coccolo , Miguel A. F. Sanjuán

The conformational and dynamical properties of active polymers in solution are determined by the nature of the activity, and the behavior of polymers with self-propelled, active Brownian particle-type monomers differs qualitatively from…

Soft Condensed Matter · Physics 2020-05-27 Aitor Martin-Gomez , Thomas Eisenstecken , Gerhard Gompper , Roland G. Winkler

We investigate a chain of oscillators with anharmonic on-site potentials, with long range interparticle interactions, and coupled both to external and internal stochastic thermal reservoirs of Ornstein-Uhlenbeck type. We develop an integral…

Mathematical Physics · Physics 2015-09-02 Emmanuel Pereira , Mateus S. Mendonça , Humberto C. F. Lemos

We consider a continuous-time linear-quadratic Gaussian control problem with partial observations and costly information acquisition. More precisely, we assume the drift of the state process to be governed by an unobservable…

Optimization and Control · Mathematics 2024-08-20 Christoph Knochenhauer , Alexander Merkel , Yufei Zhang

In this article, we study the problem of parameter estimation for a discrete Ornstein - Uhlenbeck model driven by Poisson fractional noise. Based on random walk approximation for the noise, we study least squares and maximum likelihood…

Statistics Theory · Mathematics 2017-12-15 Héctor Araya , Natalia Bahamonde , Tania Roa , Soledad Torres

(Extended Version) Data-driven control can facilitate the rapid development of controllers, offering an alternative to conventional approaches. In order to maintain consistency between any known underlying physical laws and a data-driven…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Yingzhao Lian , Jicheng Shi , Colin N. Jones

In this paper, we investigate the consistency and asymptotic efficiency of an estimator of the drift matrix, $F$, of Ornstein-Uhlenbeck processes that are not necessarily stable. We consider all the cases. (1) The eigenvalues of $F$ are in…

Statistics Theory · Mathematics 2009-04-27 Gopal K. Basak , Philip Lee

We describe a method, based on techniques used in molecular dynamics, for simulating the inertialess dynamics of an elastic filament immersed in a fluid. The model is used to study the "one-armed swimmer". That is, a flexible appendage…

Biological Physics · Physics 2007-05-23 M. Cosentino Lagomarsino , F. Capuani , C. P. Lowe

Information-based uncertainty measures like Shannon entropy, Onicescu energy and Fisher information (in position and momentum space) are employed to understand the effect of \emph{symmetric and asymmetric} confinement in a quantum harmonic…

Quantum Physics · Physics 2019-04-15 Abhisek Ghosal , Neetik Mukherjee , Amlan K. Roy

A Brownian information machine extracts work from a heat bath through a feedback process that exploits the information acquired in a measurement. For the paradigmatic case of a particle trapped in a harmonic potential, we determine how…

Statistical Mechanics · Physics 2012-04-09 Michael Bauer , David Abreu , Udo Seifert

Brownian Information engine (BIE) harnesses the energy from a fluctuating environment by utilizing the associated information change in the presence of a single heat bath. The engine operates in a space-dependent confining potential and…

Soft Condensed Matter · Physics 2025-04-15 Rafna Rafeek , Debasish Mondal

Swimming cells and microorganisms must often move though complex fluids that contain an immersed microstructure such as polymer molecules, or filaments. In many important biological processes, such as mammalian reproduction and bacterial…

Fluid Dynamics · Physics 2018-08-06 Arshad Kamal , Eric E Keaveny

In nature, many unicellular organisms are able to swim with the help of beating filaments, where local energy input leads to cooperative undulatory beating motion. Here, we investigate by employing reinforcement learning how undulatory…

Biological Physics · Physics 2025-11-04 Fumiya Tokoro , Hideki Takayama , Shinji Deguchi , Andreas Zöttl , Daiki Matsunaga

We provide a comprehensive analysis of the positional dynamics and average thermodynamics of an overdamped Brownian particle subject to both, harmonic confinement and annealed disorder due to a temporarily fluctuating trap stiffness. We…

Statistical Mechanics · Physics 2025-09-17 Deepak Gupta , Sabine H. L. Klapp

We study the optimal performance of an information engine consisting of an overdamped Brownian bead confined in a controllable, $d$-dimensional harmonic trap and additionally subjected to gravity. The trap's center is updated dynamically…

Statistical Mechanics · Physics 2026-02-18 Antonio Patrón Castro , John Bechhoefer , David A. Sivak

We investigate theoretically the collective dynamics of a suspension of low Reynolds number swimmers that are confined to two dimensions by a thin fluid film. Our model swimmer is characterized by internal degrees of freedom which locally…

Biological Physics · Physics 2015-05-19 M. Leoni , T. B. Liverpool

We study transient nonequilibrium dynamics in Fisher-regularized Wasserstein gradient flows and identify a sign-changing cross-dissipation mechanism generated by the coupling between transport dissipation and Fisher-information geometry.…

Statistical Mechanics · Physics 2026-05-29 Michael Farmer , Abhinav Kochar , Yugyung Lee

Modeling the trajectories of animals is challenging due to the complexity of their behaviors, the influence of unpredictable environmental factors, individual variability, and the lack of detailed data on their movements. Additionally,…

Methodology · Statistics 2025-10-14 J. H. Ramirez-Gonzalez , Ying Sun