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We study whether the stationary state of two bulk-driven systems slowly exchanging particles can be described by the equality of suitably defined nonequilibrium chemical potentials. Our main result is that in a weak contact limit, chemical…

Statistical Mechanics · Physics 2018-08-29 Jules Guioth , Éric Bertin

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

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

Cells achieve size homeostasis by regulating their division timing based on their size, added size, and cell cycle time. Previous research under steady-state conditions demonstrated the robustness of these mechanisms. However, their dynamic…

Quantitative Methods · Quantitative Biology 2025-12-01 Cesar Nieto , Sayeh Rezaee , Cesar Augusto Vargas-Garcia , Abhyudai Singh

Controlling the spatial distribution of liquid droplets on surfaces via surface energy patterning can be used to control material delivery to specified regions via selective liquid/solid wetting. While studies of the equilibrium shape of…

Soft Condensed Matter · Physics 2007-05-23 Gary S. Grest , David R. Heine , Edmund B. Webb

Nanodroplets on chemically structured substrates move under the action of disjoining pressure induced forces. A detailed analysis of them shows that even in the absence of long-ranged lateral variations of the effective interface potential,…

Soft Condensed Matter · Physics 2009-11-13 A. Moosavi , M. Rauscher , S. Dietrich

A new method is proposed to stop the cascade of partial coalescences of a droplet laid on a liquid bath. The strategy consists in vibrating the bath in the vertical direction in order to keep small droplets bouncing. Since large droplets…

Fluid Dynamics · Physics 2009-05-16 T. Gilet , N. Vandewalle , S. Dorbolo

Droplet coalescence is ubiquitous in nature and the same time key to various technologies, such as inkjet printing. Here, we report on the coalescence of polymer droplets with different chain lengths coalescing on substrates of different…

Soft Condensed Matter · Physics 2023-09-21 Soheil Arbabi , Panagiotis E. Theodorakis

In chemical analysis made by laboratories one has the problem of determining the concentration of a chemical element in a sample. In order to tackle this problem the guide EURACHEM/CITAC recommends the application of the linear calibration…

Applications · Statistics 2008-03-19 Betsabé G. Blas Achic , Mônica C. Sandoval

Liquid mixtures of many interacting components often exhibit numerous coexisting types of droplets. An exciting example is the cytosol of biological cells, where diverse droplets, called condensates, are essential for cellular function.…

Soft Condensed Matter · Physics 2025-05-28 Yicheng Qiang , Chengjie Luo , David Zwicker

Tissue growth can be modeled in two dimension by only using circular granular cells, which can grow and produce child. Linear spring-dashpot model is used to bind the cells with a cut-off interaction range of 1.1 times sum of radii of…

Biological Physics · Physics 2014-05-21 Sparisoma Viridi , Siti Nurul Khotimah , Devi Aprianti , Luman Haris , Freddy Haryanto

Chemical reaction networks in living cells maintain precise control over thousands of metabolites despite operating far from equilibrium under constant perturbations. While mass action kinetics accurately describe the underlying dynamics,…

Optimization and Control · Mathematics 2025-08-27 Steven Diamond

Fluid phase equilibria involving nano-dispersed phases, where at least one of the coexisting phases is confined to a small volume, are investigated by molecular dynamics simulation. Complementing previous studies on nanoscopic droplets,…

Mesoscale and Nanoscale Physics · Physics 2013-07-23 Martin Horsch , Hans Hasse

Droplet microfluidics, in which micro-droplets serve as individual reactors, has enabled a wide range of high-throughput biochemical processes. Unlike solid wells typically used in current biochemical assays, droplets are subject to…

Soft Condensed Matter · Physics 2022-06-03 Ya Gai , Andrea Montessori , Sauro Succi , Sindy K. Y. Tang

Cells contain elaborate and interconnected networks of protein polymers which make up the cytoskeleton. The cytoskeleton governs the internal positioning and movement of vesicles and organelles, and controls dynamic changes in cell…

Biological Physics · Physics 2017-01-24 Lishibanya Mohapatra , Bruce L. Goode , Predrag Jelenkovic , Rob Phillips , Jane Kondev

Interactions among biologically active agents is facilitated by their self-generated chemical and hydrodynamic fields. In order to elucidate the pair-wise interactions between such micro-organisms, we employ active droplets as a model…

Soft Condensed Matter · Physics 2025-02-11 Prateek Dwivedi , Sobiya Ashraf , Pawan Kumar , Dipin Pillai , Rahul Mangal

Using molecular dynamics simulations and scaling arguments, we investigate the coalescence preference dynamics of liquid droplets in a phase-segregating off-critical, single-component fluid. It is observed that the preferential distance of…

Statistical Mechanics · Physics 2019-03-25 Sutapa Roy

Motivated by the buckling of glassy crusts formed on evaporating droplets of polymer and colloid solutions, we numerically model the deformation and buckling of spherical elastic caps controlled by varying the volume between the shell and…

Materials Science · Physics 2009-11-11 D. A. Head

In living cells, cycles of formation and dissolution of liquid droplets can mediate biological functions such as DNA repair. However, the minimal physicochemical prerequisite for such droplet oscillations remains elusive. Here, we present a…

Soft Condensed Matter · Physics 2025-03-17 Ivar S. Haugerud , Hidde D. Vuijk , Job Boekhoven , Christoph A. Weber

A new experimental technique for creating and imaging collisions of micron-sized droplets settling under gravity is presented. A pair of glycerol droplets is suspended in air by means of two optical traps. The droplet relative velocities…

Fluid Dynamics · Physics 2017-04-04 M. Ivanov , K. Chang , I. Galinskiy , B. Mehlig , D. Hanstorp