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A classical model of fluid dynamics is considered which describes the shape evolution of a viscous liquid droplet on a homogeneous substrate. All equilibria are characterized and their stability is analyzed by a geometric reduction…

Analysis of PDEs · Mathematics 2018-08-14 Patrick Guidotti

We present results from an individual particle based model for the collision, coagulation and fragmentation of heavy drops moving in a turbulent flow. Such a model framework can help to bridge the gap between the full hydrodynamic…

Fluid Dynamics · Physics 2020-01-29 Jens C. Zahnow , Ulrike Feudel

We extend the standard droplet scaling theory for isothermal aging in spin glasses assuming that the effective stiffness constant of droplets as large as extended defects is vanishingly small. A novel dynamical order parameter and the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hajime Yoshino , Koji Hukushima , Hajime Takayama

The stability of convection rolls in a fluid heated from below is limited by secondary instabilities, including the skew-varicose and crossroll instabilities. We observe a stability boundary defined by the same instabilities in stripe…

All liquids (except helium due to quantum effects) crystallize at low temperatures, forming ordered structures. The competition between disorder, which stabilizes the liquid phase, and energy, which favors the ordered crystalline structure,…

Soft Condensed Matter · Physics 2013-07-09 Frank Smallenburg , Francesco Sciortino

The dissolution of a body into quiescent water leads to density stratifications at the interfaces that drive buoyant flows. Where the stratification is unstable, the flow destabilizes into convective solute plumes. By analogy with the…

Fluid Dynamics · Physics 2020-06-02 Caroline Cohen , Michael Berhanu , Julien Derr , Sylvain Courrech du Pont

Dust at the midplane of a circumstellar disk can become gravitationally unstable and fragment into planetesimals if the local dust-to-gas density ratio mu is sufficiently high. We simulate how dust settles in passive disks and ask how high…

Earth and Planetary Astrophysics · Physics 2015-05-20 Aaron T. Lee , Eugene Chiang , Xylar Asay-Davis , Joe Barranco

Experiments and global linear stability analysis are used to obtain the critical flow rate below which the highly stretched capillary jet generated when a Newtonian liquid issues from a vertically oriented tube, is no longer steady. The…

Fluid Dynamics · Physics 2019-12-24 Mariano Rubio-Rubio , Alejandro Sevilla , José Manuel Gordillo

Studies on finite-size plasma have attracted a lot of attention lately. They can form by ionizing liquid droplets by lasers. The dynamical behavior of such plasma droplets is, therefore, a topic of significant interest. In particular,…

Plasma Physics · Physics 2024-08-05 Subhasish Bag , Vikrant Saxena , Amita Das

We study the bulk and shear elastic properties of barely-compressed, "athermal" emulsions and find that the rigidity of the jammed solid fails at remarkably large critical osmotic pressures. The minuscule yield strain and similarly small…

Soft Condensed Matter · Physics 2020-08-12 Rodrigo E. Guerra

The process of drop formation from a nozzle can be seen in many natural systems and engineering applications. Here, we investigate the formation of a liquid droplet from a wettable nozzle. The behavior of a drop is complicated due to an…

Fluid Dynamics · Physics 2015-05-27 Brian Chang , Gary Nave , Sunghwan Jung

We develop and analyze a model for a flat microbial droplet growing on the surface of a three-dimensional viscous fluid. The model describes growth-induced stresses at the fluid surface, density variations in the bulk due to nutrient…

Fluid Dynamics · Physics 2026-05-20 Vicente Gomez Herrera , Scott Weady

Highly charged liquid droplets are unstable above the critical charge squared-to-volume ratio given by the Rayleigh limit. The instability leads to ion ejection from jets formed on the droplet's surface. Despite the many experiments that…

Fluid Dynamics · Physics 2021-06-08 Styliani Consta

Sessile droplets exposed to an incipient condition lead to an inevitable loss of mass, which is critical in many practical applications. By considering an arbitrarily configured two-dimensional array of droplets, here we provide a simple…

Fluid Dynamics · Physics 2020-04-08 Khushboo Pandey , Sandeep Hatte , Keshav Pandey , Suman Chakraborty , Saptarshi Basu

We study the Vlasov-Stokes equations which macroscopically model the sedimentation of a cloud of particles in a fluid, where particle inertia are taken into account but fluid inertia are assumed to be negligible. We consider the limit when…

Analysis of PDEs · Mathematics 2018-01-09 Richard M. Höfer

We investigate by direct numerical simulations the fluid-solid interaction of non-dilute suspensions of spherical particles moving in triperiodic turbulence, at the relatively large Reynolds number of $Re_\lambda \approx 400$. The…

Fluid Dynamics · Physics 2024-06-05 Alessandro Chiarini , Marco Edoardo Rosti

We unravel the existence and nonequilibrium response of one-dimensional harmonically trapped droplet configurations in the presence of a central potential barrier or well. For fixed negative chemical potentials, it is shown that droplets…

Quantum Gases · Physics 2025-11-26 F. Bristy , G. A. Bougas , G. C. Katsimiga , S. I. Mistakidis

The issue of the stability of Pickering emulsions is tackled at a mesoscopic level using dissipative particle dynamics simulations within the Adiabatic Biased Molecular Dynamics framework. We consider the early stage of the coalescence…

Soft Condensed Matter · Physics 2017-02-08 François Sicard , Alberto Striolo

We consider the dynamics of finite systems of point masses which move along the real line. We suppose the particles interact pairwise and undergo perfectly inelastic collisions when they collide. In particular, once particles collide, they…

Analysis of PDEs · Mathematics 2020-07-07 Ryan Hynd

The stability of thin liquid films on a surface depends on the excess free energy of the system involving various short-range and long-range interactions. In an unstable condition, thin liquid films may dewet into multiple small-sized…

Soft Condensed Matter · Physics 2022-03-24 Bidisha Bhatt , Shivam Gupta , Vasudevan Sumathi , Sivasurender Chandran , Krishnacharya Khare