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Metastable `false' vacuum states are an important feature of the Standard Model of particle physics and many theories beyond it. Describing the dynamics of a phase transition out of a false vacuum via the nucleation of bubbles is essential…

High Energy Physics - Theory · Physics 2024-11-19 Dalila Pîrvu , Matthew C. Johnson , Sergey Sibiryakov

Dynamics of solitons of the Ablowitz-Ladik model in the presence of a random potential is studied. In absence of the random potential it is an integrable model and the solitons are stable. As a result of the random potential this stability…

Disordered Systems and Neural Networks · Physics 2015-01-20 Zhi-Yuan Sun , Shmuel Fishman , Avy Soffer

We present numerical and experimental results for the development of islands of stability in atom-optics billiards with soft walls. As the walls are soften, stable regions appear near singular periodic trajectories in converging (focusing)…

Chaotic Dynamics · Physics 2007-05-23 Ariel Kaplan , Nir Friedman , Mikkel Andersen , Nir Davidson

We predict that a photonic crystal fiber whose strands are filled with a defocusing nonlinear medium can support stable bright and also vortex solitons if the strength of the defocusing nonlinearity grows toward the periphery of the fiber.…

We systematically investigate the existence, stability, and propagation dynamics of multipole-mode (necklace-shaped) solitons in the two-dimensional model of an optical medium with the defocusing saturable nonlinearity and an annular…

Pattern Formation and Solitons · Physics 2025-11-25 Xiaoli Lang , Boris A. Malomed , Liangwei Dong

We study collisions between pairs of bubbles nucleated in an ambient false vacuum. For the first time, we include the effects of small initial (quantum) fluctuations around the instanton profiles describing the most likely initial bubble…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-09 J. Richard Bond , Jonathan Braden , Laura Mersini-Houghton

We consider soliton dynamics and stability in a nonlinear lattice formed by alternating domains with focusing cubic and saturable nonlinearities. We find that in such lattices solitons centered on cubic domains may be stabilized even in…

Optics · Physics 2015-05-18 Olga V. Borovkova , Yaroslav V. Kartashov , Lluis Torner

The spontaneous formation of tiny bubbles in a liquid is at the root of the nucleation mechanism during the liquid-to-vapor transition of a metastable liquid. The smaller the bubbles the larger their probability to appear, and even for…

Soft Condensed Matter · Physics 2023-08-14 Joël Puibasset

It is demonstrated that under common conditions a molecular solid subject to Jahn-Teller interactions supports stable Q-ball-like non-topological solitons. Such solitons represent a localized lump of excess electric charge in periodic…

Materials Science · Physics 2007-05-23 Dennis P. Clougherty

We derive boundary conditions at interfaces (contact discontinuities) for a class of Lagrangian models describing, in particular, bubbly flows. We use these conditions to study Kelvin-Helmholtz' instability which develops in the flow of two…

Fluid Dynamics · Physics 2008-01-17 Sergey L. Gavrilyuk , Henri Gouin , Vladimir M. Teshukov

We consider soliton formation in thermal nonlinear media bounded by rectangular cross-sections and uncover a new class of nonlinear stationary topological state. Specifically, we find that stationary higher-order vortex states in standard…

Optics · Physics 2016-04-13 Fangwei Ye , Yaroslav V. Kartashov , Bambi Hu , Lluis Torner

We calculate the evaporative cooling dynamics of trapped one-dimensional Bose-Einstein condensates for parameters leading to a range of condensates and quasicondensates in the final equilibrium state. We confirm that solitons are created…

Quantum Gases · Physics 2016-08-14 E. Witkowska , P. Deuar , M. Gajda , K. Rzążewski

We consider a mixture of hard core bosonic polar molecules, interacting via repulsive dipole-dipole interaction, and one atomic bosonic species. The mixture is confined on a two-dimensional square lattice and, at low enough temperatures,…

Statistical Mechanics · Physics 2015-05-20 B. Capogrosso-Sansone

The aim of this paper is to study the stability of soliton-like static solutions via non-linear simulations in the context of a special class of massive tensor-multi-scalar-theories of gravity whose target space metric admits Killing…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Riccardo Falcone , Daniela D. Doneva , Kostas D. Kokkotas , Stoytcho S. Yazadjiev

We report on the existence and stability of freely moving solitons in a spatially inhomogeneous Bose- Einstein condensate with helicoidal spin-orbit (SO) coupling. In spite of the periodically varying parameters, the system allows for the…

Pattern Formation and Solitons · Physics 2017-09-22 Yaroslav V. Kartashov , Vladimir V. Konotop

The conditions under which stable evolution of two nonlinear interacting waves are derived within the context of nematic crystals. Two cases are considered: plane waves and solitons. In the first case, the modulation instability analysis…

Pattern Formation and Solitons · Physics 2016-10-12 Theodoros P. Horikis

We obtain multi-soliton solutions of the time-dependent Bogoliubov-de Gennes equations or, equivalently, Gorkov equations that describe the dynamics of a fermionic condensate in the dissipationless regime. There are two kinds of solitons -…

Superconductivity · Physics 2009-11-13 Emil A. Yuzbashyan

We experimentally investigate the statistical behaviour of a model two-dimensional granular system undergoing stationary sedimentation. Buoyant cylindrical particles are rotated in liquid-filled drum, thus confined in a harmonic centripetal…

Soft Condensed Matter · Physics 2019-05-01 Nariaki Sakaï , Sébastien Moulinet , Frédéric Lechenault , Mokhtar Adda-Bedia

We study the stability of the bubble rising in the presence of a soluble surfactant numerically and experimentally. For the surfactant concentration considered, the Marangoni stress almost immobilizes the interface. However, the non-zero…

The interaction of multiple bubbles is a complex physical problem. A simplified case of multiple bubbles is studied theoretically with a bubble located at the center of a circular bubble cluster. All bubbles in the cluster are equally…

Fluid Dynamics · Physics 2023-02-23 A-Man Zhang , Shi-Min Li , Pu Cui , Shuai Li , Yun-Long Liu
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