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We discuss the diffusion phenomenon in the parabolic and hyperbolic regimes. New effects related to the finite velocity of the diffusion process are predicted, that can partially explain the strange behavior associated to adsorption…

Mathematical Physics · Physics 2014-02-13 A. Sapora , M. Codegone , G. Barbero

While quantum fluctuations in binary mixtures of bosonic atoms with short-range interactions can lead to the formation of a self-bound droplet, for equal intra-component interactions but an unequal number of atoms in the two components,…

Quantum Gases · Physics 2021-11-01 M. Nilsson Tengstrand , S. M. Reimann

The coalescence of droplets plays a crucial role in nature and modern technology. Various experimental and theoretical studies explored droplet dynamics in 3D and on 2D solid or liquid substrates. In this paper, we demonstrate the…

Soft Condensed Matter · Physics 2023-01-05 Christoph Klopp , Alexey Eremin

We combine theory, numerical simulation and experiments to investigate the breakup of two identical droplets entering a Y-junction with controlled spatial offset by which the second droplet trails the first. Based on fully resolved 3D…

Fluid Dynamics · Physics 2020-08-04 Simon Schütz , Jian Wei Khor , Sindy K. Y. Tang , Tobias M. Schneider

A novel supersolid phase is predicted for an ensemble of Rydberg atoms in the dipole-blockade regime, interacting via a repulsive dipolar potential "softened" at short distances. Using exact numerical techniques, we study the low…

Quantum Gases · Physics 2010-09-23 F. Cinti , P. Jain , M. Boninsegni , A. Micheli , P. Zoller , G. Pupillo

In this paper we develop a theory for an infinitely long droplet state of a zero temperature dipolar bosonic gas. The infinite droplet theory yields simpler equations to solve for the droplet state and its collective excitations. We explore…

Quantum Gases · Physics 2022-02-09 Sukla Pal , D. Baillie , P. B. Blakie

We perform direct numerical simulations (DNSs) of emulsions in homogeneous, isotropic turbulence using a pseudopotential lattice-Boltzmann (PP-LB) method. Improving on previous literature by minimizing droplet dissolution and spurious…

We consider a simple model consisting of particles with four bonding sites ("patches"), two of type A and two of type B, on the square lattice, and investigate its global phase behavior by simulations and theory. We set the interaction…

Soft Condensed Matter · Physics 2011-11-24 N. G. Almarza , J. M. Tavares , M. Simões , M. M. Telo da Gama

We analyze the collective surface diffusion coefficient, $D_c$, near a first-order phase transition at which two phases coexist and the surface coverage, $\te$, drops from one single-phase value, $\te_+$, to the other one, $\te_-$. Contrary…

Statistical Mechanics · Physics 2015-06-04 Igor Medved' , Anton Trnik

We study the time evolution of a sessile liquid droplet, which is initially put onto a solid surface in a non-equilibrium configuration and then evolves towards its equilibrium shape. We adapt here the standard approach to the dynamics of…

Materials Science · Physics 2007-05-23 M. J. de Ruijter , J. De Coninck , G. Oshanin

When two Bose-Einstein condensates -- labelled 1 and 2 -- overlap spatially, the equilibrium state of the system depends on the miscibility criterion for the two fluids. Here, we theoretically focus on the non-miscible regime in two spatial…

Quantum Gases · Physics 2023-01-25 B. Bakkali-Hassani , C. Maury , S. Stringari , S. Nascimbene , J. Dalibard , J. Beugnon

The partial coalescence of a droplet onto a planar liquid/liquid interface is investigated experimentally by tuning the viscosities of both liquids. The problem mainly depends on four dimensionless parameters: the Bond number (gravity vs.…

Fluid Dynamics · Physics 2009-05-16 T. Gilet , K. Mulleners , J. P. Lecomte , N. Vandewalle , S. Dorbolo

Due to the potential application of regulating droplet shape by external fields in microfluidic technology and micro devices, it becomes increasingly important to understand the shape formation of a droplet in the presence of an electric…

Soft Condensed Matter · Physics 2024-05-28 Jing Li , Kaiqiang Wen , Ke Xiao , Xiaoming Chen , Chen-Xu Wu

Breath figures are the complex patterns that form when water vapor condenses into liquid droplets on a surface. The primary question concerning breath figures is how the condensing vapor is allocated between the growth of existing droplets…

Fluid Dynamics · Physics 2025-01-31 Ambre Bouillant , Jacco H. Snoeijer , Bruno Andreotti

This work presents analytical formulas derived for evaluating vapor transport of a volatile solvent for an isolated multicomponent droplet in a quiescent environment, based on quasi-steady-state approximation. Among multiple solvent…

Chemical Physics · Physics 2015-08-17 James Q. Feng

Phase separation is a fairly common physical phenomenon with examples including the formation of water droplets from humid air (fog, rain), the separation of a crystalline structure from an isotropic material such as a liquid or even the…

Probability · Mathematics 2007-05-23 Ágoston Pisztora

The late-stage phase ordering, in $d=2$ dimensions, of symmetric fluid mixtures violates dynamical scaling. We show however that, even at 50/50 volume fractions, if an asymmetric droplet morphology is initially present then this sustains…

Soft Condensed Matter · Physics 2009-11-07 Alexander J. Wagner , M. E. Cates

The empirical measure of an interacting particle system is a purely atomic random probability measure. In the limit as the number of particles grows to infinity, we show for McKean-Vlasov systems with common noise that this measure becomes…

Probability · Mathematics 2025-09-01 Robert Alexander Crowell

We describe combined experiments and simulations of droplet breakup during flow-driven interactions with a circular obstacle in a quasi-two-dimensional microfluidic chamber. Due to a lack of in-plane confinement, the droplets can also slip…

Fluid Dynamics · Physics 2026-05-07 David J. Meer , Shivnag Sista , Mark D. Shattuck , Corey S. O'Hern , Eric R. Weeks

Patterns are quotidian in nature. Distinct multiscale patterns are generally a consequence of nonequilibrium dynamical processes associated with mechanical or hydrodynamic instabilities. In this thesis, I report experimental investigations…

Soft Condensed Matter · Physics 2019-05-30 Xiaolei Ma