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In this work we investigate the effect of density dependent nonlinear diffusion on pattern formation in the Brusselator system. Through linear stability analysis of the basic solution we determine the Turing and the oscillatory instability…

Mathematical Physics · Physics 2015-06-17 G. Gambino , M. C. Lombardo , M. Sammartino , V. Sciacca

Patterns in reaction-diffusion systems often contain two spatial scales; a long scale determined by a typical wavelength or domain size, and a short scale pertaining to front structures separating different domains. Such patterns naturally…

patt-sol · Physics 2009-10-22 Aric Hagberg , Ehud Meron

Pattern forming systems allow for a wealth of states, where wavelengths and orientation of patterns varies and defects disrupt patches of monocrystalline regions. Growth of patterns has long been recognized as a strong selection mechanism.…

Pattern Formation and Solitons · Physics 2023-02-28 Ryan Goh , Arnd Scheel

The biopolymers actin and microtubules are often in an ongoing assembling/disassembling state far from thermal equilibrium. Above a critical density this leads to spatially periodic patterns, as shown by a scaling argument and in terms of a…

Soft Condensed Matter · Physics 2007-05-23 Falko Ziebert , Walter Zimmermann

We report on a computational parameter space study of mixing protocols for a half-full bi-axial spherical granular tumbler. The quality of mixing is quantified via the intensity of segregation (concentration variance) and computed as a…

Fluid Dynamics · Physics 2017-01-03 Ivan C. Christov , Richard M. Lueptow , Julio M. Ottino , Rob Sturman

The aggregation properties of heavy inertial particles in the elastic turbulence regime of an Oldroyd-B fluid with periodic Kolmogorov mean flow are investigated by means of extensive numerical simulations in two dimensions. Both the small…

Fluid Dynamics · Physics 2018-10-03 Himani Garg , Enrico Calzavarini , Gilmar Mompean , Stefano Berti

We study the sedimentation of finite-size inertial particles in a Rayleigh-Taylor-like setup using state-of-the-art direct numerical simulations. The falling particles are observed to produce two distinct regions: a leading mixing layer…

Fluid Dynamics · Physics 2026-01-28 Simone Tandurella , Marco Edoardo Rosti , Stefano Musacchio , Guido Boffetta

Studying particle-laden flows is essential to understand diverse physical processes such as rain formation in clouds, pathogen transmission, and pollutant dispersal. Distinct clustering patterns are formed in such flows with particles of…

Fluid Dynamics · Physics 2022-01-13 K Shri Vignesh , Shruti Tandon , Praveen Kasthuri , R. I. Sujith

Giant unilamellar vesicles (GUVs) composed of as few as three lipid species can phase separate into small-scale lipid domains with stripes and dots patterns. These patterns have been experimentally characterized in terms of how their size…

Soft Condensed Matter · Physics 2025-05-21 Qiwei Yu , Andrej Košmrlj

When a mixture of two kinds of grains differing in size and shape is poured in a vertical two-dimensional cell, the mixture spontaneously stratifies in alternating layers of small and large grains, whenever the large grains are more faceted…

Statistical Mechanics · Physics 2009-10-31 Hernan A. Makse

Results are presented for the phase separation process of a binary mixture subject to an uniform shear flow quenched from a disordered to a homogeneous ordered phase. The kinetics of the process is described in the context of the…

Condensed Matter · Physics 2012-04-05 F. Corberi , G. Gonnella , A. Lamura

We investigate the process of random sequential adsorption of polydisperse particles whose size distribution exhibits a power-law dependence in the small size limit, $P(R)\sim R^{\alpha-1}$. We reveal a relation between pattern formation…

Statistical Mechanics · Physics 2009-10-31 N. V. Brilliantov , Yu. A. Andrienko , P. L. Krapivsky , J. Kurths

Using computer simulations and scaling ideas, we study one-dimensional models of diffusion, aggregation and detachment of particles from islands in the post-deposition regime, i. e. without flux. The diffusion of isolated particles takes…

Statistical Mechanics · Physics 2015-06-25 Anna Chame , F. D. A. Aarao Reis

We study the flow of equal-volume binary granular mixtures of spheres and dumbbells with different aspect ratios down a rough inclined plane, using the discrete element method. We consider two types of mixtures -- in the first type the…

Soft Condensed Matter · Physics 2018-11-22 Sandip Mandal , D. V. Khakhar

Dense mixtures of particles of varying size tend to segregate based on size during flow. Granular size-segregation plays an important role in many industrial and geophysical processes, but the development of coupled, continuum models…

Soft Condensed Matter · Physics 2024-08-13 Harkirat Singh , Daren Liu , David L. Henann

Protoplanetary disks are gaseous systems in Keplerian rotation around young stars, known to be turbulent. They include a small fraction of dust from which planets form. In the incremental scenario for planet growth, the formation of…

Earth and Planetary Astrophysics · Physics 2023-02-06 Fabiola Antonietta Gerosa , Héloïse Meheut , Jérémie Bec

We report a combined experimental and simulation study of deformation-induced diffusion in compacted two-dimensional amorphous granular pillars, in which thermal fluctuations play negligible role. The pillars, consisting of bidisperse…

Soft Condensed Matter · Physics 2015-07-21 Wenbin Li , Jennifer M. Rieser , Andrea J. Liu , Douglas J. Durian , Ju Li

Shear-flow-induced structure formation in surfactant-water mixtures is investigated numerically using a meshless-membrane model in combination with a particle-based hydrodynamics simulation approach for the solvent. At low shear rates,…

Soft Condensed Matter · Physics 2013-07-02 Hayato Shiba , Hiroshi Noguchi , Gerhard Gompper

We investigate aggregation and fragmentation dynamics of tracers and inertial aggregates in random flows leading to steady state size distributions. Our objective is to elucidate the impact of changes in aggregation rates, due to…

Fluid Dynamics · Physics 2017-06-19 Ksenia Guseva , Ulrike Feudel

One of the most interesting phenomena in the soft-matter realm consists in the spontaneous formation of super-molecular structures (microphases) in condition of thermodynamic equilibrium. A simple mechanism responsible for this…

Soft Condensed Matter · Physics 2017-08-23 A. Imperio , D. Pini , L. Reatto
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