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In this paper we investigate the dynamical behavior of an interface or polymer, in interaction with a distant attractive substrate. The interface is modeled by the graph of a nearest neighbor path with non-negative integer coordinates, and…

Probability · Mathematics 2014-01-06 Hubert Lacoin , Augusto Teixeira

We establish through numerical simulation conditions for optimal undulatory propulsion for a single fish, and for a pair of hydrodynamically interacting fish, accounting for linear and angular recoil. We first employ systematic 2D…

Fluid Dynamics · Physics 2017-04-05 Audrey P. Maertens , Amy Gao , Michael S. Triantafyllou

In the study of microscopic flows, self-propulsion has been particularly topical in recent years, with the rise of miniature artificial swimmers as a new tool for flow control, low Reynolds number mixing, micromanipulation or even drug…

Based on the Maxwell-Beatty reciprocity theorem, static non-reciprocity has been realized by using nonlinearity, but this non-reciprocity has strict restrictions on input amplitude and structure size (number of units). Here, we propose a…

Soft Condensed Matter · Physics 2024-05-28 Zehuan Tang , Tingfeng Ma , Hui Chen , Yuanwen Gao

We examine swimmers comprising of two rigid spheres which oscillate periodically along their axis of symmetry, considering both when the oscillation is in phase and anti-phase, and study the effects of fluid viscoelasticity on their net…

Fluid Dynamics · Physics 2018-09-13 Charu Datt , Babak Nasouri , Gwynn J. Elfring

A minimal design for a molecular swimmer is proposed that is a based on a mechanochemical propulsion mechanism. Conformational changes are induced by electrostatic actuation when specific parts of the molecule temporarily acquire net…

Biological Physics · Physics 2015-05-19 Ramin Golestanian

We describe the consequences of time reversal invariance of the Stokes' equations for the hydrodynamic scattering of two low Reynolds number swimmers. For swimmers that are related to each other by a time reversal transformation this leads…

Soft Condensed Matter · Physics 2009-11-13 G. P. Alexander , C. M. Pooley , J. M. Yeomans

Temperature changes as small as $3 ^\circ$C have been observed to significantly impact how self-propelled organisms move through their environment, especially for those inhabiting the transitional flow regime in which both viscous and…

Fluid Dynamics · Physics 2025-04-08 Adrian Herrera-Amaya , Nils B. Tack , Zhipeng Lou , Chengyu Li , Monica M. Wilhelmus

A system of ferromagnetic particles trapped at a liquid-liquid interface and subjected to a set of magnetic fields (magnetocapillary swimmers) is studied numerically using a hybrid method combining the pseudopotential lattice Boltzmann…

Computational scientists have investigated swimming performance across a multitude of different systems for decades. Most models depend on numerous model parameters and performance is sensitive to those parameters. In this paper, parameter…

Fluid Dynamics · Physics 2020-11-24 Nicholas A. Battista

Non-reciprocal systems have been shown to sustain time-dependent patterns, most prominently travelling waves. The transition into these time-dependent states generally breaks time-translational invariance, representing a clear deviation…

Statistical Mechanics · Physics 2026-05-13 Emir Sezik , Gunnar Pruessner

The rheology of semidilute bacterial suspensions is studied with the tools of kinetic theory, considering binary interactions, going beyond the ideal gas approximation. Two models for the interactions are considered, which encompass both…

Soft Condensed Matter · Physics 2019-01-31 Marcelo Guzman , Rodrigo Soto

The simple model of a low Reynolds number swimmer made from three spheres that are connected by two arms is considered in its general form and analyzed. The swimming velocity, force--velocity response, power consumption, and efficiency of…

Soft Condensed Matter · Physics 2009-11-13 Ramin Golestanian , Armand Ajdari

The rheology of 2D steady surface flow of cohesionless cylinders in a rotating drum is investigated through {\em Non Smooth Contact Dynamics} simulations. Profile of volume fraction, translational and angular velocity, rms velocity, strain…

Soft Condensed Matter · Physics 2007-05-23 Mathieu Renouf , Daniel Bonamy , Frederic Dubois , Pierre Alart

We employ a model system, called rowers, as a generic physical framework to define the problem of the coordinated motion of cilia (the metachronal wave) as a far from equilibrium process. Rowers are active (two-state) oscillators…

Biological Physics · Physics 2013-05-29 M. Cosentino Lagomarsino , P. Jona , B. Bassetti

Small organisms (e.g., bacteria) and artificial microswimmers move due to a combination of active swimming and passive Brownian motion. Considering a simplified linear three-sphere swimmer, we study how the swimmer size regulates the…

Soft Condensed Matter · Physics 2010-10-13 Jörn Dunkel , Irwin M. Zaid

Hydrodynamic interactions between swimming or flying organisms can lead to complex flows on the scale of the group. These emergent fluid dynamics are often more complex than a linear superposition of individual organism flows, especially at…

Fluid Dynamics · Physics 2024-12-23 Nina Mohebbi , Joonha Hwang , Matthew K. Fu , John O. Dabiri

Research on untethered micro-swimming robots is growing fast owing to their potential impact on minimally invasive medical procedures. Candidate propulsion mechanisms of robots are based on flagellar mechanisms of microorganisms such as…

Fluid Dynamics · Physics 2017-10-20 Ahmet Fatih Tabak , Serhat Yesilyurt

The swimming of a sphere immersed in a viscous incompressible fluid with inertia is studied for surface modulations of small amplitude on the basis of the Navier-Stokes equations. The mean swimming velocity and the mean rate of dissipation…

Fluid Dynamics · Physics 2016-12-20 B. U. Felderhof , R. B. Jones

Motivated by the anisotropic interactions between fish, we implement spatially anisotropic and therefore non-reciprocal interactions in the 2D Ising model. First, we show that the model with non-reciprocal interactions alters the system…

Soft Condensed Matter · Physics 2023-05-10 Daniel S. Seara , Akash Piya , A. Pasha Tabatabai