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Discrete dynamical models of walking droplets ("walkers") have allowed swift numerical experiments revealing heretofore unobserved quantum statistics and related behaviors in a classical hydrodynamic system. We present evidence that one…

Chaotic Dynamics · Physics 2023-11-06 George Zhang , Ivan C. Christov , Aminur Rahman

Emergent phenomena share the fascinating property of not being obvious consequences of the design of the system in which they appear. This characteristic is no less relevant when attempting to simulate such phenomena, given that the outcome…

Soft Condensed Matter · Physics 2014-11-26 D. C. Rapaport

The encapsulation of active particles, such as bacteria or active colloids, inside a droplet gives rise to nontrivial shape dynamics and droplet motility. To understand this behavior, we derive an asymptotic solution for the fluid flow…

Soft Condensed Matter · Physics 2025-03-19 Sho Kawakami , Petia M. Vlahovska

A \textit{walker} is a droplet of liquid that self-propels on the free surface of an oscillating bath of the same liquid through feedback between the droplet and its wave field. We have studied walking droplets in the presence of two…

Fluid Dynamics · Physics 2019-07-24 Rahil N. Valani , Anja C. Slim , Tapio Simula

Active nematics are out-of-equilibrium systems in which energy injection at the microscale drives emergent collective behaviors, from spontaneous flows to active turbulence. While the dynamics of these systems have been extensively studied,…

Soft Condensed Matter · Physics 2025-04-15 Ahmet Umut Akduman , Yusuf Sariyar , Giuseppe Negro , Livio Nicola Carenza

We use molecular dynamics simulations to study the evaporation of particle-laden droplets on a heated surface. The droplets are composed of a Lennard-Jones fluid containing rigid particles which are spherical sections of an atomic lattice,…

Soft Condensed Matter · Physics 2015-06-04 Weikang Chen , Joel Koplik , Ilona Kretzschmar

We numerically study the effect of an active turbulent environment on a passive deformable droplet. The system is simulated using coupled hydrodynamic and nematodynamic equations for nematic liquid crystals with an active stress which is…

Soft Condensed Matter · Physics 2024-05-06 Chamkor Singh , Abhishek Chaudhuri

The problem of the movement of the drops in a continuous environment represents a fundamental step for the study of two phases flows. Their domains of application are enormous as: the combustion of the rooms of the machines thermal,…

Fluid Dynamics · Physics 2009-06-29 H. Alla , M. Abdelouahab , B. Alli Talha , F. Z . Beloufa

Active particles such as swimming bacteria or self-propelled colloids are known to spontaneously organize into fascinating large-scale dynamic structures. The emergence of these collective states from the motility pattern of the individual…

Soft Condensed Matter · Physics 2019-11-20 Hamid Karan , Gerardo E. Pradillo , Petia M. Vlahovska

Walking droplets -- millimetric oil droplets that self-propel across the surface of a vibrating fluid bath -- exhibit striking emergent statistics that remain only partially understood. In particular, in a variety of experiments, a robust…

Fluid Dynamics · Physics 2026-01-28 Skyler Mao , David Darrow

Active droplets can swim spontaneously in viscous flows as a result of the non-linear convective transport of a chemical solute produced at their surface by the Marangoni and/or phoretic flows generated by this solute's inhomogeneous…

Fluid Dynamics · Physics 2022-12-01 Nikhil Desai , Sebastien Michelin

Recently discrete dynamical models of walking droplet dynamics have allowed for fast numerical simulations of their horizontal chaotic motion and consequently the long-time statistical distribution of the droplet position. We develop a…

Dynamical Systems · Mathematics 2023-02-03 Gonzalo Ferrandez Quinto , Aminur Rahman

We propose coupled evolution equations for the thickness of a liquid film and the density of an adsorbate layer on a partially wetting solid substrate. Therein, running droplets are studied assuming a chemical reaction underneath the…

Soft Condensed Matter · Physics 2007-05-23 Uwe Thiele , Karin John , Markus Bär

Droplet motion over a surface with wettability gradient has been simulated using molecular dynamics (MD) simulation to highlight the underlying physics. GROMACS and Visual Molecular Dynamics (VMD) were used for simulation and intermittent…

Fluid Dynamics · Physics 2015-04-13 Monojit Chakraborty , Anamika Chowdhury , Richa Bhusan , Sunando DasGupta

Differently from passive Brownian particles, active particles, also known as self-propelled Brownian particles or microswimmers and nanoswimmers, are capable of taking up energy from their environment and converting it into directed motion.…

Active droplets are artificial microswimmers built from a liquid dispersion by microfluidic tools and showing self-propelled motion. These systems hold particular interest for mimicking biological phenomena, such as some aspects of cell…

Soft Condensed Matter · Physics 2023-06-14 Adriano Tiribocchi , Mihir Durve , Marco Lauricella , Andrea Montessori , Davide Marenduzzo , Sauro Succi

Active matter comprises self-driven units, such as bacteria and synthetic microswimmers, that can spontaneously form complex patterns and assemble into functional microdevices. These processes are possible thanks to the out-of-equilibrium…

Soft Condensed Matter · Physics 2021-11-17 Jens Grauer , Falko Schmidt , Jesus Pineda , Benjamin Midtvedt , Hartmut Löwen , Giovanni Volpe , Benno Liebchen

The dynamic properties of fluid, including density, surface tension, diffusivity and viscosity, are temperature-dependent and can significantly influence the flow dynamics of mesoscopic non-isothermal systems. To capture the correct…

Computational Physics · Physics 2020-07-21 Kaixuan Zhang , Jie Li , Shuo Chen , Yang Liu

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these…

Soft Condensed Matter · Physics 2013-01-24 Nicolas Desreumaux , Jean-Baptiste Caussin , Raphael Jeanneret , Eric Lauga , Denis Bartolo

A walking droplet possesses fascinating properties due to its peculiar wave/particle interaction. The self-propelling motion of such a droplet is driven by the Faraday instability triggered around the droplet at each impact. We studied in…

Fluid Dynamics · Physics 2019-04-12 Nicolas Vandewalle , Boris Filoux , Maxime Hubert