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We study experimentally the dynamics of a water droplet on a tilted and vertically oscillating rigid fibre. As we vary the frequency and amplitude of the oscillations the droplet transitions between different modes: harmonic pumping,…

Fluid Dynamics · Physics 2023-08-02 Stéphane Poulain , Andreas Carlson

We study spreading of a droplet, with insoluble surfactant covering its capillary surface, on a textured substrate. In this process, the surfactant-dependent surface tension dominates the behaviors of the whole dynamics, particularly the…

Fluid Dynamics · Physics 2022-11-08 Yuan Gao , Jian-Guo Liu

Liquid droplet dynamics are widely used in biological and engineering applications, which contain complex interfacial instabilities and pattern formation such as droplet merging, splitting, and transport. This paper studies a class of mean…

Optimization and Control · Mathematics 2024-10-10 Guosheng Fu , Hangjie Ji , Will Pazner , Wuchen Li

We present systematic wetting experiments and numerical simulations of gravity driven liquid drops sliding on a plane substrate decorated with a linear chemical step. Surprisingly, the optimal direction to observe crossing is not the one…

Motivated by observations of the dynamics of {\it Myxococcus xanthus}, we present a self-interacting random walk model that describes the competition between chemokinesis and chemotaxis. Cells are constrained to move in one dimension, but…

Statistical Mechanics · Physics 2016-08-31 Maria R. D'Orsogna , Marc Suchard , Tom Chou

Rheotaxis is a well-known phenomenon among microbial organisms and artificial active colloids, wherein the swimmers respond to an imposed flow. We report the first experimental evidence of upstream rheotaxis by spherical active droplets. It…

Soft Condensed Matter · Physics 2021-08-20 Prateek Dwivedi , Atishay Shrivastava , Dipin Pillai , Rahul Mangal

Chemical reactions involve the movement of charges, and this work presents a mathematical model for describing chemical reactions in electrolytes. The model is developed using an energy variational method that aligns with classical…

Chemical Physics · Physics 2023-11-02 Shixin Xu , Robert Eisenberg , Zilong Song , Huaxiong Huang

The effect of a stationary electric field on a water droplet with a diameter of several tens micrometers in oil was examined. Such a droplet exhibits repetitive translational motion between the electrodes in a spontaneous manner. The state…

Fluid Dynamics · Physics 2009-11-11 M. Hase , S. N. Watanabe , K. Yoshikawa

Chemotaxis is a directed cell movement in response to external chemical stimuli. In this paper, we propose a simple model for the origin of chemotaxis - namely how a directed movement in response to an external chemical signal may occur…

Analysis of PDEs · Mathematics 2023-06-30 Yishu Gong , Alexander Kiselev

We employ a thermodynamically consistent out-of-equilibrium continuum model to study the motion patterns of partially wetting liquid drops covered by autocatalytically reacting surfactants. When ambient chemostats feed a chemomechanical…

Adaptation and Self-Organizing Systems · Physics 2025-12-17 Florian Voss , Uwe Thiele

The glass transition, extensively studied in dense fluids, polymers, or colloids, corresponds to a dramatic evolution of equilibrium transport coefficients upon a modest change of control parameter, like temperature or pressure. A similar…

Statistical Mechanics · Physics 2013-05-06 Ludovic Berthier , Jorge Kurchan

We investigate the dynamics of nanoscale droplets in the vicinity of chemical steps which separate parts of a substrate with different wettabilities. Due to long-ranged dispersion forces, nanodroplets positioned on one side of the step…

Soft Condensed Matter · Physics 2009-09-29 A. Moosavi , M. Rauscher , S. Dietrich

In nature, high-speed rain drops often impact and spread on curved surfaces e.g. tree leaves. Although a drop impact on a surface is a traditional topic for industrial applications, drop-impact dynamics on curved surfaces in natural…

Fluid Dynamics · Physics 2022-11-09 Ming Long , Jalil Hasanyan , Sunghwan Jung

Droplet migration in a Hele--Shaw cell is a fundamental multiphase flow problem which is crucial for many microfluidics applications. We focus on the regime at low capillary number and three-dimensional direct numerical simulations are…

Fluid Dynamics · Physics 2016-06-22 Yue Ling , Jose-Maria Fullana , Stéphane Popinet , Christophe Josserand

Microfluidic techniques have been extensively developed to realize micro-total analysis systems in a small chip. For microanalysis, electro-magnetic forces have generally been utilized for the trapping of objects, but hydrodynamics has been…

Fluid Dynamics · Physics 2021-04-22 Takuya Ohmura , Masatoshi Ichikawa , Ken-ichiro Kamei , Yusuke T. Maeda

Dense active matter, in the fluid or amorphous-solid form, has generated intense interest as a model for the dynamics inside living cells and multicellular systems. An extension of the random first-order transition theory (RFOT) to include…

Soft Condensed Matter · Physics 2021-02-16 Rituparno Mandal , Saroj Kumar Nandi , Chandan Dasgupta , Peter Sollich , Nir S. Gov

The study of synthetic active matter systems holds the promise for designing smart materials and devices with emergent characteristics akin to those of living organisms, eventually opening the doors to the realization of artificial life.…

Autologous chemotaxis, in which cells secrete and detect molecules to determine the direction of fluid flow, is thwarted at high cell density because molecules from other cells interfere with a given cell's signal. Using a minimal model of…

Biological Physics · Physics 2022-09-14 Michael Vennettilli , Louis Gonzalez , Nicholas Hilgert , Andrew Mugler

We present numerical simulations of active fluid droplets immersed in an external fluid in 2-dimensions { using} an Immersed Boundary method to simulate the fluid droplet interface as a Lagrangian mesh. We present results from two example…

Soft Condensed Matter · Physics 2016-09-28 Carl A. Whitfield , Rhoda J. Hawkins

Recent experiments have shown that liquid drops on highly deformable substrates exhibit mutual interactions. This is similar to the Cheerios effect, the capillary interaction of solid particles at a liquid interface, but now the roles of…

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