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Droplet formation has emerged as an essential concept for the spatiotemporal organisation of biomolecules in cells. However, classical descriptions of droplet dynamics based on passive liquid-liquid phase separation cannot capture the…

Biological Physics · Physics 2025-11-14 David Zwicker , Oliver W. Paulin , Cathelijne ter Burg

Droplets are essential for spatially controlling biomolecules in cells. To work properly, cells need to control the emergence and morphology of droplets. On the one hand, driven chemical reactions can affect droplets profoundly. For…

Soft Condensed Matter · Physics 2024-03-14 Noah Ziethen , David Zwicker

Biological cells utilize membranes and liquid-like droplets, known as biomolecular condensates, to structure their interior. The interaction of droplets and membranes, despite being involved in several key biological processes, is so far…

Soft Condensed Matter · Physics 2024-02-21 Marcel Mokbel , Dominic Mokbel , Susanne Liese , Christoph A. Weber , Sebastian Aland

Creating realistic droplet simulations and animations has long been a formidable challenge for researchers and developers due to the inherent complexity of fluid dynamics. Achieving lifelike droplet splash simulations while managing…

Fluid Dynamics · Physics 2024-11-26 Hossein Keshtkar , Nadine Aburumman

Biomolecular condensates play a central role in the spatial organization of living matter. Their formation is now well understood as a form of liquid-liquid phase separation that occurs very far from equilibrium. For instance, they can be…

Soft Condensed Matter · Physics 2024-10-14 Roxanne Berthin , Jacques Fries , Marie Jardat , Vincent Dahirel , Pierre Illien

This paper considers the interaction between two droplets placed on a substrate in immediate vicinity. We show here that when the two droplets are of different fluids and especially when one of the droplet is highly volatile, a wealth of…

Fluid Dynamics · Physics 2015-06-11 Mathieu Sellier , Volker Nock , Cécile Gaubert , Claude Verdier

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

Biomolecular condensates are small droplets forming spontaneously in biological cells via phase separation. They play a role in many cellular processes, but it is unclear how cells control them. Cellular regulation often relies on…

Soft Condensed Matter · Physics 2024-03-15 Jan Kirschbaum , David Zwicker

Phase separation is the thermodynamic process that explains how droplets form in multicomponent fluids. These droplets can provide controlled compartments to localize chemical reactions, and reactions can also affect the droplets' dynamics.…

Soft Condensed Matter · Physics 2022-09-02 David Zwicker

Driven chemical reactions can control the macroscopic properties of droplets, like their size. Such active droplets are critical in structuring the interior of biological cells. Cells also need to control where and when droplets appear, so…

Soft Condensed Matter · Physics 2024-03-15 Noah Ziethen , Jan Kirschbaum , David Zwicker

Controlling the shape and position of moving and pinned droplets on a solid surface is an important feature often found in microfluidic applications. However, automating them, e.g., for high-throughput applications, does rarely involve…

Fluid Dynamics · Physics 2020-07-09 Henning Bonart , Christian Kahle , Jens-Uwe Repke

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

We have developed an efficient and unconditionally energy-stable method for simulating droplet formation dynamics. Our approach involves a novel time-marching scheme based on the scalar auxiliary variable technique, specifically designed…

Numerical Analysis · Mathematics 2024-02-08 Jinpeng Zhang , Changjuan Zhang , Xiaoping Wang

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

The Cahn-Hilliard model with reaction terms can lead to situations in which no coarsening is taking place and, in contrast, growth and division of droplets occur which all do not grow larger than a certain size. This phenomenon has been…

Analysis of PDEs · Mathematics 2025-11-07 Harald Garcke , Kei Fong Lam , Robert Nürnberg , Andrea Signori

The impact of a heavier droplet into a deep pool of lighter liquid is investigated using three-dimensional numerical simulations. Unprecedented to any numerical simulations, we demonstrate that the heavier droplets can hang from the surface…

Fluid Dynamics · Physics 2023-03-29 Piyush Singh , Anikesh Pal , Narinder Singh

We introduce a model of chemically active particles of a multi-component fluid that can change their interactions with other particles depending on their state. Since such switching of interactions can only be maintained by the input of…

Soft Condensed Matter · Physics 2019-05-01 Dino Osmanovic , Yitzhak Rabin

Biological cells and synthetic analogues use liquid-liquid phase separation to dynamically compartmentalize their environment for various applications. In many cases, multiple droplets need to coexist, and their size needs to be controlled,…

Soft Condensed Matter · Physics 2025-12-03 Guido Kusters , David Zwicker

Phase separation, crucial for spatially segregating biomolecules in cells, is well-understood in the simple case of a few components with pairwise interactions. Yet, biological cells challenge the simple picture in at least two ways: First,…

Soft Condensed Matter · Physics 2024-03-12 Chengjie Luo , Yicheng Qiang , David Zwicker

Binary droplet collisions are of importance in a variety of practical applications comprising dispersed two-phase flows. The background of our research is the prediction of properties of particulate products formed in spray processes. To…

Fluid Dynamics · Physics 2012-10-24 C. Focke , D. Bothe , M. Kuschel , M. Sommerfeld
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