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We present a mesoscale representation of near-contact interactions between colliding droplets which permits to reach up to the scale of full microfluidic devices, where such droplets are produced. The method is demonstrated for the case of…

Computational Physics · Physics 2020-06-23 Andrea Montessori , Marco Lauricella , Adriano Tiribocchi , Sauro Succi

Motivated by experiments on cell segregation, we present a two-species model of interacting particles, aiming at a quantitative description of this phenomenon. Under precise scaling hypothesis, we derive from the microscopic model a…

Analysis of PDEs · Mathematics 2019-06-04 J. Barré , P. Degond , D. Peurichard , E. Zatorska

We model and study the patterns created through the interaction of collectively moving self-propelled particles (SPPs) and elastically tethered obstacles. Simulations of an individual-based model reveal at least three distinct large-scale…

The spontaneous generation of electrical activity underpins a number of essential physiological processes, and is observed even in tissues where specialized pacemaker cells have not been identified. The emergence of periodic oscillations in…

Adaptation and Self-Organizing Systems · Physics 2022-02-01 Ria Ghosh , Shakti N. Menon

Based on Brownian Dynamics computer simulations in two dimensions we investigate aggregation scenarios of colloidal particles with directional interactions induced by multiple external fields. To this end we propose a model which allows…

Soft Condensed Matter · Physics 2015-05-08 Florian Kogler , Orlin D. Velev , Carol K. Hall , Sabine H. L. Klapp

Field patterns occur in space-time microstructures such that a disturbance propagating along a characteristic line does not evolve into a cascade of disturbances, but rather concentrates on a pattern of characteristic lines. This pattern is…

Optics · Physics 2017-02-15 Graeme W. Milton , Ornella Mattei

Ample experimental evidence has been accumulated demonstrating that the formation of monodispersed colloids proceeds through a more complex mechanism, than the generally excepted diffusional "burst nucleation" process. Instead, the…

Materials Science · Physics 2010-09-22 Jongsoon Park , Vladimir Privman , Egon Matijevic

Several experiments have demonstrated the existence of an electro-mechanical effect in many biological tissues and hydrogels, and its actual influence on growth, migration, and pattern formation. Here, to model these interactions and…

Soft Condensed Matter · Physics 2020-07-07 Yangkun Du , Yipin Su , Chaofeng Lu , Weiqiu Chen , Michel Destrade

We study two correlated electrons in a nearest neighbour tight- binding chain, with both on site and nearest neighbour interaction. Both the cases of parallel and antiparallel spins are considered. In addition to the free electron band for…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. F. Weisz , F. Claro

Minimal models of active Brownian colloids consisting of self-propelled spherical particles with purely repulsive interactions have recently been identified as excellent quantitative testing grounds for theories of active matter and have…

Soft Condensed Matter · Physics 2016-04-12 M. Cristina Marchetti , Yaouen Fily , Silke Henkes , Adam Patch , David Yllanes

Periodic field patterns of atoms and their charges/spins/orbits emerge in crystals, forming novel states of matter called emergent crystals (ECs). In recent years, they are observed in diverse systems such as skyrmion crystals in…

Applied Physics · Physics 2019-05-15 Yangfan Hu , Xuejin Wan

Zonal flows are well known to arise spontaneously out of turbulence. We show that for statistically averaged equations of the stochastically forced generalized Hasegawa-Mima model, steady-state zonal flows and inhomogeneous turbulence fit…

Atmospheric and Oceanic Physics · Physics 2013-10-30 Jeffrey B. Parker , John A. Krommes

Electrolyte-filled channels with modulated wall charge distribution subjected to an applied DC electric field, form time-independent vortices whose sense of circulation is determined by the field direction [Physical Review Letters $…

Fluid Dynamics · Physics 2026-02-02 A. Shrestha , E. Kirkinis , M. Olvera de la Cruz

When a film of a liquid suspension of nanoparticles or a polymer solution is deposited on a surface, it may dewet from the surface and as the solvent evaporates the solute particles/polymer can be deposited on the surface in regular line…

Soft Condensed Matter · Physics 2013-03-25 Lubor Frastia , Andrew J. Archer , Uwe Thiele

We demonstrate the spontaneous formation of spatial patterns in a damped, ac-driven cubic Klein-Gordon lattice. These patterns are composed of arrays of intrinsic localized modes characteristic for nonlinear lattices. We analyze the…

Pattern Formation and Solitons · Physics 2010-08-30 Andrea Vanossi , K. Ø. Rasmussen , A. R. Bishop , B. A. Malomed , V. Bortolani

Nonreciprocal interactions violating Newton's third law are common in a plethora of nonequilibrium situations ranging from predator-prey systems to the swarming of birds and effective colloidal interactions under flow. While many recent…

Soft Condensed Matter · Physics 2025-10-07 Zhi-Feng Huang , Michael te Vrugt , Jonas Mayer Martins , Raphael Wittkowski , Hartmut Löwen

The phase behavior of colloidal particles embedded in a binary fluid is influenced by wetting layers surrounding each particle. The free energy of the fluid film depends on its morphology, i.e., on size, shape and connectivity. Under rather…

Soft Condensed Matter · Physics 2007-05-23 Uwe Brodatzki , Klaus Mecke

Fluid-mediated interactions between particles in a vibrating fluid lead to both long range attraction and short range repulsion. The resulting patterns include hexagonally ordered micro-crystallites, time-periodic structures, and chaotic…

Soft Condensed Matter · Physics 2009-11-07 Greg A. Voth , B. Bigger , M. R. Buckley , W. Losert , M. P. Brenner , H. A. Stone , J. P. Gollub

Interactions between the components in many-body systems can give rise to spontaneous formation of complex structures. Usually very little is known about the connection between the interactions and the resulting structure. Here we present a…

Soft Condensed Matter · Physics 2014-05-16 Erik Edlund , Oskar Lindgren , Martin Nilsson Jacobi

The formation of patterns in driven systems has been studied extensively, and their emergence can be connected to a fine balance of instabilities and stabilization mechanisms. While the early phase of pattern formation can be understood on…