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We uncover and characterize different chaotic transport scenarios on perfect periodic surfaces by controlling the chaotic dynamics of particles subjected to periodic external forces in the absence of a ratchet effect. After identifying…

Chaotic Dynamics · Physics 2010-03-26 R. Chacon , A. M. Lacasta

We explore the dynamics of non-interacting particles loaded into a phase-modulated one-dimensional lattice formed by laterally oscillating square barriers. Tuning the parameters of the driven unit cell of the lattice selected parts of the…

Chaotic Dynamics · Physics 2015-05-18 Christoph Petri , Florian Lenz , Fotis K. Diakonos , Peter Schmelcher

We present a novel method for estimating the circulations and positions of point vortices using trajectory data of passive particles in the presence of Gaussian noise. The method comprises two algorithms: the first one calculates the vortex…

Optimization and Control · Mathematics 2023-05-05 Gil Marques , Marco Martins Afonso , Sílvio Gama

A plane turbulent mixing in a shear flow of an ideal homogeneous fluid confined between two relatively close rigid walls is considered. The character of the flow is determined by interaction of vortices arising at the nonlinear stage of the…

Fluid Dynamics · Physics 2020-07-15 Alexander Chesnokov , Valery Liapidevskii

In this work, we investigate an optimization problem over adapted couplings between pairs of real valued random variables, possibly describing random times. We relate those couplings to a specific class of causal transport plans between…

Probability · Mathematics 2022-10-18 Rémi Lassalle

Many systems exhibit a mixture of continuous and discrete dynamics. We consider a family of mixed-integer non-convex non-linear optimisation problems obtained in discretisations of optimal control of such systems. For this family, a…

Optimization and Control · Mathematics 2020-01-23 Jorn Baayen , Jakub Marecek

Directed transport of interacting active (self-propelled)Brownian particles is numerically investigated in confined geometries (entropic barriers). The self-propelled velocity can break thermodynamical equilibrium and induce the directed…

Statistical Mechanics · Physics 2015-05-12 Bao-quan Ai , Ya-feng He , Wei-rong Zhong

The video shows the flow dynamics within inner and outer regions of a vortex core. The observed phenomena mimic a transport process occurring within the Antarctic vortex. The video shows two distinct regions: a strongly mixed core and broad…

Following a recent demonstration of stable trapping of floating particles by stationary (monochromatic) structured water waves [Nature 638, 394 (2025)], we report dynamic water-wave tweezers that enable controllable transport of trapped…

Transport phenomena in complex and dynamic microscopic environments are fundamentally shaped by hydrodynamic interactions. In particular, microparticle transport in porous media is governed by the delicate interplay between…

We examine discrete vortex dynamics in two-dimensional flow through a network-theoretic approach. The interaction of the vortices is represented with a graph, which allows the use of network-theoretic approaches to identify key…

Fluid Dynamics · Physics 2017-05-24 Aditya G. Nair , Kunihiko Taira

We demonstrate the control of vortical motion of neutral classical particles in driven superlattices. Our superlattice consists of a superposition of individual lattices whose potential depths are modulated periodically in time but with…

Chaotic Dynamics · Physics 2020-09-30 Aritra K. Mukhopadhyay , Peter Schmelcher

It is well known that the dynamics of three point vortices moving in an ideal fluid in the plane can be expressed in Hamiltonian form, where the resulting equations of motion are completely integrable in the sense of Liouville and Arnold.…

Dynamical Systems · Mathematics 2009-11-11 Denis Blackmore , Lu Ting , Omar Knio

We present a numerical exploration of the possibility of sustained amplification of magnetic vortex gyration by controlling the relative polarities of a coupled vortices in short vortex chains. First, we numerically establish the asymmetry…

Mesoscale and Nanoscale Physics · Physics 2013-10-28 Dheeraj Kumar , Saswati Barman , Anjan Barman

We investigate the dynamics of passive particles in a two-dimensional incompressible open flow composed of a fixed topographical point vortex and a background current with a periodic component. The tracer dynamics is found to be typically…

Chaotic Dynamics · Physics 2011-11-10 M. Budyansky , M. Uleysky , S. Prants

The migration of active particles in slowly moving, crowded, and heterogeneous media is fundamental to various biological processes and technological applications, such as cargo transport. In this study, we numerically investigate the…

Soft Condensed Matter · Physics 2024-12-04 Meng-Yuan Li , Ning Zheng , Yan-Wei Li

We study binary mixtures of small active and big passive athermal particles interacting via soft repulsive forces on a frictional substrate. Athermal self propelled particles are known to phase separate into a dense aggregate and a dilute…

Soft Condensed Matter · Physics 2018-07-05 Pritha Dolai , Aditi Simha , Shradha Mishra

Vortex is a central concept in the understanding of turbulent dynamics. Objective algorithms for the detection and extraction of vortex structures can facilitate the physical understanding of turbulence regeneration dynamics by enabling…

Fluid Dynamics · Physics 2019-12-06 Lu Zhu , Li Xi

Time modulation of the physical parameters offers interesting new possibilities for wave control. Examples include amplification of waves, harmonic generation and non-reciprocity, without resorting to non-linear mechanisms. Most of the…

Mathematical Physics · Physics 2025-07-25 Michaël Darche , Raphaël Assier , Sébastien Guenneau , Bruno Lombard , Marie Touboul

Mixture models are widely used in Bayesian statistics and machine learning, in particular in computational biology, natural language processing and many other fields. Variational inference, a technique for approximating intractable…

Statistics Theory · Mathematics 2020-08-03 Badr-Eddine Chérief-Abdellatif , Pierre Alquier