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Two-dimensional arrays of nonlinear electric oscillators are considered theoretically, where nearest neighbors are coupled by relatively small, constant, but non-equal capacitors. The dynamics is approximately reduced to a weakly…

Pattern Formation and Solitons · Physics 2020-07-09 Victor P. Ruban

Coherent properties of a two dimensional spatially periodic structure - polaritonic crystal (PolC) formed by trapped two-level atoms in an optical cavity array interacting with a light field, are analyzed. By considering the wave function…

Mesoscale and Nanoscale Physics · Physics 2011-08-16 E. S. Sedov , A. P. Alodjants , S. M. Arakelian , Y. Y. Lin , R. -K. Lee

We investigate the dynamical motion of particles on a two-dimensional symmetric periodic substrate in the presence of both a dc drive along a symmetry direction of the periodic substrate and an additional circular ac drive. For large enough…

Statistical Mechanics · Physics 2009-11-10 C. Reichhardt , C. J. Olson Reichhardt , M. B. Hastings

We report water wave experiments performed in a long tank where we consider the evolution of nonlinear deep-water surface gravity waves with the envelope in the form of a large-scale rectangular barrier. Our experiments reveal that, for a…

In a semiconductor superlattice with long scattering times, damping of Bloch oscillations due to scattering is so small that convective nonlinearities may compensate it and Bloch oscillations persist even in the hydrodynamic regime. In this…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 L. L. Bonilla , M. Álvaro , M. Carretero

A perturbative analysis is used to investigate the effect of rotation on the instability of a steady accretion shock (SASI) in a simple toy-model, in view of better understanding supernova explosions in which the collapsing core contains…

Astrophysics · Physics 2009-11-13 Tatsuya Yamasaki , Thierry Foglizzo

We consider the motion of a fluid-immersed negatively buoyant particle in the vicinity of a thin compressible elastic wall, a situation that arises in a variety of technological and natural settings. We use scaling arguments to establish…

Soft Condensed Matter · Physics 2015-10-28 Thomas Salez , L. Mahadevan

The linear stability of rapid granular flow on a slope under gravity against the longitudinal perturbation is analyzed using hydrodynamic equations. It is demonstrated that the steady flow uniform along the flow direction becomes unstable…

Statistical Mechanics · Physics 2009-11-10 Namiko Mitarai , Hiizu Nakanishi

We extend earlier numerical and analytical considerations of the conformally invariant wave equation on a Schwarzschild background from the case of spherically symmetric solutions, discussed in Class. Quantum Grav. 34, 045005 (2017), to the…

General Relativity and Quantum Cosmology · Physics 2018-02-23 Jörg Frauendiener , Jörg Hennig

Under special conditions bacteria excrete an attractant and aggregate. The high density regions initially collapse into cylindrical structures, which subsequently destabilize and break up into spherical aggregates. This paper presents a…

Biological Physics · Physics 2011-11-09 M. D. Betterton , Michael P. Brenner

Self-propelled microorganisms, such as unicellular algae or bacteria, swim along their director relative to the fluid velocity. Under a steady shear flow the director rotates in close orbit, a periodic structure that is preserved under an…

Soft Condensed Matter · Physics 2015-06-11 Francisca Guzman-Lastra , Rodrigo Soto

Motile and driven particles confined in microfluidic channels exhibit interesting emergent behavior from propagating density bands to density shock waves. A deeper understanding of the physical mechanisms responsible for these emergent…

Fluid Dynamics · Physics 2016-02-03 Alan Cheng Hou Tsang , Eva Kanso

We propose to employ the circular polarization of gravitational waves emitted by core-collapse supernovae as an unequivocal indication of rapid rotation deep in their cores. It has been demonstrated by three dimensional simulations that…

High Energy Astrophysical Phenomena · Physics 2016-06-08 Kazuhiro Hayama , Takami Kuroda , Ko Nakamura , Shoichi Yamada

Resonances with electromagnetic whistler-mode waves are the primary driver for the formation and dynamics of energetic electron fluxes in various space plasma systems, including shock waves and planetary radiation belts. The basic and most…

Space Physics · Physics 2021-11-24 A. V. Artemyev , A. I. Neishtadt , A. A. Vasiliev , D. Mourenas

A repulsively interacting Bose-Einstein condensate on a ring is well known to show persistent currents. For attractive interactions, however, a bound state may form that renders the rotation classical. Here we show that in a…

Quantum Gases · Physics 2024-03-01 K. Mukherjee , T. Arnone Cardinale , S. M. Reimann

We consider a class of Fokker--Planck equations with linear diffusion and superlinear drift enjoying a formal Wasserstein-like gradient flow structure with convex mobility function. In the drift-dominant regime, the equations have a finite…

Analysis of PDEs · Mathematics 2020-06-09 José A. Carrillo , Katharina Hopf , José L. Rodrigo

In a recent article [M. Olshanii, Phys. Rev. Lett. {\bf 81}, 938 (1998)], an analytic solution of atom-atom scattering with a delta-function pseudopotential interaction in the presence of transverse harmonic confinement yielded an effective…

Condensed Matter · Physics 2009-11-07 T. Bergeman , M. G. Moore , M. Olshanii

Three fundamental segregation and pattern formation processes are known in granular mixtures in a rotating cylindrical drum: radial segregation, axial banding, and coarsening of the band pattern. While the mechanism for the first effect is…

Soft Condensed Matter · Physics 2015-11-12 Tilo Finger , Matthias Schröter , Ralf Stannarius

A submerged finite cylinder moving under its own weight along a soft incline lifts off and slides at a steady velocity while also spinning. Here, we experimentally quantify the steady spinning of the cylinder and show theoretically that it…

The dual harmonic system has been widely used in high intensity proton synchrotrons to suppress the space charge effect, as well as reduce the beam loss. To investigate the longitudinal beam dynamics in the dual rf system, the potential…

Accelerator Physics · Physics 2016-01-20 Yao-Shuo Yuan , Na Wang , Shou-Yan Xu , Yue Yuan , Sheng Wang