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Bifurcation with symmetry is considered in the case of an isotropy subgroup with a two-dimensional fixed point subspace and non-zero quadratic terms. In general, there are one or three branches of solutions, and five qualitatively different…

Dynamical Systems · Mathematics 2007-05-23 P. C. Matthews

In contrast to the field, the binaries in dense stellar systems are frequently not primordial, and could be either dynamically formed or significantly altered from their primordial states. Destruction and formation of binaries occur in…

Solar and Stellar Astrophysics · Physics 2015-05-27 Natalia Ivanova

In bidisperse particle mixtures varying in size or density alone, large particles rise (driven by percolation) and heavy particles sink (driven by buoyancy). When the two particle species differ from each other in both size and density, the…

Soft Condensed Matter · Physics 2021-06-09 Yifei Duan , Paul B. Umbanhowar , Richard M. Lueptow

We present a Ginzburg-Landau theory of micro phase separation in a bidisperse chiral membrane consisting of rods of opposite handendness. This model system undergoes a phase transition from an equilibrium state where the two components are…

We study turbulent channel flow of a binary mixture of finite-size neutrally-buoyant rigid particles by means of interface-resolved direct numerical simulations. We fix the bulk Reynolds number and total solid volume fraction, $Re_b = 5600$…

Fluid Dynamics · Physics 2021-02-23 Iman Lashgari , Francesco Picano , Pedro Costa , Wim-Paul Breugem , Luca Brandt

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

Intensity minima and maxima of speckle patterns obtained behind a diffuser are experimentally interchanged by applying a spiral phase delay of charge $\pm 1$ to the impinging coherent beam. This transform arises from the intuitive…

Optics · Physics 2017-02-01 Jérôme Gateau , Hervé Rigneault , Marc Guillon

In a weakly excitable medium, characterized by a large threshold stimulus, the free end of an isolated broken plane wave (wave tip) can either rotate (steadily or unsteadily) around a large excitable core, thereby producing a spiral…

Soft Condensed Matter · Physics 2009-10-31 Vincent Hakim , Alain Karma

An experimental study of a binary granular mixture submitted to a transient shear flow in a cylindrical container is reported. The formation of ripples with a spiral shape is observed. The appearance of phase segregation in those spiral…

Statistical Mechanics · Physics 2016-08-31 H. Caps , N. Vandewalle

We identify shell-like tidal structures in flattened haloes that appear stream-like under different projections. This projection dependence demonstrates how changes in the host halo directly impact the formation and classification of tidal…

Astrophysics of Galaxies · Physics 2026-04-09 Smrithi Gireesh Babu , Viraj Ekanayaka , William H. Oliver , Geraint F. Lewis

We study the defect solutions of the Non-reciprocal Cahn-Hilliard model (NRCH). We find two kinds of defects, spirals with unit magnitude topological charge, and topologically neutral targets. These defects generate radially outward…

Soft Condensed Matter · Physics 2024-08-20 Navdeep Rana , Ramin Golestanian

This paper presents an experimental investigation on pattern formation and evolution in bilayered tubular organs using swelling deformation of polydimethylsiloxane (PDMS) and aims at supplying a thorough comparison with theoretical and…

Soft Condensed Matter · Physics 2022-02-15 Rui-Cheng Liu , Lishuai Jin , Zongxi Cai , Yang Liu

Many multicellular communities propagate signals in a directed manner via excitable waves. Cell-to-cell heterogeneity is a ubiquitous feature of multicellular communities, but the effects of heterogeneity on wave propagation are still…

Biological Physics · Physics 2020-04-22 Xiaoling Zhai , Joseph W. Larkin , Gürol M. Süel , Andrew Mugler

We show that hard spheres confined between two parallel hard plates pack denser with periodic adaptive prismatic structures which are composed of alternating prisms of spheres. The internal structure of the prisms adapts to the slit height…

Spiral waves emerge in numerous pattern forming systems and are commonly modeled with reaction-diffusion systems. Some systems used to model biological processes, such as ion-channel models, fall under the reaction-diffusion category and…

Dynamical Systems · Mathematics 2021-10-29 Stephanie Dodson , Bjorn Sandstede

Spiral waves are striking self-organized coherent structures that organize spatio-temporal dynamics in dissipative, spatially extended systems. In this paper, we provide a conceptual approach to various properties of spiral waves. Rather…

Pattern Formation and Solitons · Physics 2021-02-09 Björn Sandstede , Arnd Scheel

A surface model of Nambu and Goto is studied statistical mechanically by using the canonical Monte Carlo simulation technique on a spherical meshwork. The model is defined by the area energy term and a one-dimensional bending energy term in…

Statistical Mechanics · Physics 2007-11-21 Hiroshi Koibuchi

Spiral waves are ubiquitous in two-dimensional systems of chemical or biological oscillators coupled locally by diffusion. At the center of such spirals is a phase singularity, a topological defect where the oscillator amplitude drops to…

Pattern Formation and Solitons · Physics 2010-03-16 Erik A. Martens , Carlo R. Laing , Steven H. Strogatz

Trapping and un-trapping of spiral tips in a two-dimensional homogeneous excitable medium with local small-world connections is studied by numerical simulation. In a homogeneous medium which can be simulated with a lattice of regular…

Pattern Formation and Solitons · Physics 2009-11-10 Xiaonan Wang , Ying Lu , Minxi Jiang , Qi Ouyang

Shadows and spirals seem to be common features of transition discs. Among the spiral-triggering mechanisms proposed, only one establishes a causal link between shadows and spirals so far. In fact, provided the presence of shadows in the…

Earth and Planetary Astrophysics · Physics 2018-01-24 Matías Montesinos , Nicolás Cuello
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