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The asymptotic shape of randomly growing radial clusters is studied. We pose the problem in terms of the dynamics of stochastic partial differential equations. We concentrate on the properties of the realizations of the stochastic growth…

Statistical Mechanics · Physics 2012-01-17 Carlos Escudero

We observe ripples forming on the surface of a granular powder in a container submitted from below to a series of brief and distinct shocks. After a few taps, the pattern turns out to be stable against any further shock of the same…

Disordered Systems and Neural Networks · Physics 2009-10-31 Jacques Duran

Differential settling and growth of dust grains impact the structure of the radiative envelopes of gaseous planets during formation. Sufficiently rapid dust growth can result in envelopes with substantially reduced opacities for radiation…

Earth and Planetary Astrophysics · Physics 2022-12-14 Kristen Menou , Hong Tao Zhang

The frequency correlation properties of the radiation from an atom in a strong field in resonance with neighboring transitions are considered. It is shown that the difference in frequency correlation in two-photon and stepwise processes…

Quantum Physics · Physics 2007-05-23 T. Ya. Popova , A. K. Popov , S. G. Rautian , A. A. Feoktistov

In the present work we focus on the morphology of well abraded, almost perfectly ellipsoidal natural pebbles. Flat, oblate and prolate ellipsoidal pebbles are expected to be characterized by qualitatively different shape evolution due to…

Geophysics · Physics 2024-04-15 Balázs Havasi-Tóth

Close to the onset of Aeolian particle transport through saltation we find in wind tunnel experiments a regime of discontinuous flux characterized by bursts of activity. Scaling laws are observed in the time delay between each burst and in…

Atmospheric and Oceanic Physics · Physics 2015-07-29 M. V. Carneiro , K. R. Rasmussen , H. J. Herrmann

From fairy circles to patterned ground and columnar joints, natural patterns spontaneously appear in many complex geophysical settings. Here, we investigate the origins of polygonally patterned crusts of salt playa and salt pans. These…

We conduct numerical simulations based on a model of blowing snow to reveal the long-term properties and equilibrium state of aeolian particle transport from $10^{-5} \hspace{0.5 ex} \mathrm{m}$ to $10 \hspace{0.5 ex} \mathrm{m}$ above the…

Geophysics · Physics 2017-04-26 Hirofumi Niiya , Kouichi Nishimura

We study line driven stellar winds using time-dependent radiation hydrodynamics where the continuum radiation couples to the gas via either a scattering or absorption opacity and there is an additional radiation force due to spectral lines…

Solar and Stellar Astrophysics · Physics 2023-11-30 Sergei Dyda , Shane W. Davis

Spiral waves in active media react to small perturbations as particle-like objects. Here we apply the asymptotic theory to the interaction of spiral waves with a localized inhomogeneity, which leads to a novel prediction: drift of the…

Pattern Formation and Solitons · Physics 2010-01-25 V. N. Biktashev , D. Barkley , I. V. Biktasheva

A new nonlinear equation governing asymptotic dynamics of ripples is derived by using a short wave perturbative expansion on a generalized version of the Green-Naghdi system. It admits peakon solutions with amplitude, velocity and width in…

Pattern Formation and Solitons · Physics 2007-05-23 M. A. Manna

Multi-phase flows encountered in nature or in industry, exhibit non trivial rheological properties, that can be understood better thanks to model materials and appropriate rheometers. Here, we use model unsaturated granular materials:…

Soft Condensed Matter · Physics 2021-06-24 Stephanie Deboeuf , Abdoulaye Fall

The efficiency of regolith production is key in understanding the properties of airless surfaces. Debris aprons, of fillets, around rocks are an ubiquitous morphology on many surfaces without atmosphere, which origin and evolution are…

Earth and Planetary Astrophysics · Physics 2021-09-02 O. Ruesch , C. Woehler

We present new solar models in which we use the latest low abundances and we further include the effects of rotation, magnetic fields and extra-mixing processes. We assume that the extra-element mixing can be treated as a diffusion process,…

Solar and Stellar Astrophysics · Physics 2015-05-27 Shaolan Bi , Tanda Li , Linghuai Li , Wuming Yang

Square lattice gas models for heteroepitaxial growth are studied by means of kinetic Monte Carlo simulations, in order to find a possible origin of anisotropic island shape observed in growth experiments of long organic molecules. When…

Materials Science · Physics 2009-11-13 Yukio Saito , Ryo Kawasaki

We report on simulations of mildly turbulent convection in spherical wedge geometry with varying density stratification. We vary the density contrast within the convection zone by a factor of 20 and study the influence of rotation on the…

Solar and Stellar Astrophysics · Physics 2012-04-25 P. J. Käpylä , M. J. Mantere , A. Brandenburg

The shapes of flat pebbles may be characterized in terms of the statistical distribution of curvatures measured along their contours. We illustrate this new method for clay pebbles eroded in a controlled laboratory apparatus, and also for…

Soft Condensed Matter · Physics 2007-05-23 D. J. Durian , H. Bideaud , P. Duringer , A. Schroder , C. M. Marques

We present experimental results for spherical particles rising and settling in a still fluid. Imposing a well-controlled center of mass offset enables us to vary the rotational dynamics selectively by introducing an intrinsic rotational…

Fluid Dynamics · Physics 2021-06-07 Jelle Will , Dominik Krug

A basis expansion with regularization methods is much appealing to the flexible or robust nonlinear regression models for data with complex structures. When the underlying function has inhomogeneous smoothness, it is well known that…

Methodology · Statistics 2021-02-02 Daeju Kim , Shuichi Kawano , Yoshiyuki Ninomiya

We introduce an evolution model \`a la Firey for a convex stone which tumbles on a beach and undertakes an erosion process depending on some variational energy, such as torsional rigidity, principal Dirichlet Laplacian eigenvalue, or…

Analysis of PDEs · Mathematics 2024-05-21 Graziano Crasta , Ilaria Fragalà