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A reflection-asymmetric deformed oscillator potential is analysed from the classical and quantum mechanical point of view. The connection between occurrence of shell structures and classical periodic orbits is studied using the ''removal of…

Nuclear Theory · Physics 2015-06-26 W. Dieter Heiss , Rashid G. Nazmitdinov , Stefanel Radu

We investigate the emergence of large, localized, pseudo-stable configurations (oscillons) from inflaton fragmentation at the end of inflation. We predict the number density of large oscillons, and the conditions necessary for their…

Cosmology and Nongalactic Astrophysics · Physics 2010-09-14 Mustafa A. Amin

Strong numerical evidence is presented for the existence of a continuous family of time-periodic solutions with ``weak'' spatial localization of the spherically symmetric non-linear Klein-Gordon equation in 3+1 dimensions. These solutions…

High Energy Physics - Theory · Physics 2008-11-26 Gyula Fodor , Péter Forgács , Philippe Grandclément , István Rácz

In contrast to the complex $\phi^4$ model, vortex-antivortex collisions in the complex $\phi^6$ theory reveal a resonant structure due to the existence of a remarkably stable, long-lived, large amplitude oscillon in the broken vacuum.…

High Energy Physics - Theory · Physics 2026-03-31 D. Canillas Martínez , A. González-Parra , D. Miguélez-Caballero , A. Wereszczynski

We study the dynamics of charged, spherically symmetric dust shells in the presence of a positive cosmological constant. We find generalizations of the well-known solutions in asymptotically flat spacetime, in particular orbits into…

General Relativity and Quantum Cosmology · Physics 2022-09-07 Christoph Giese , Jochen Zahn

We study the spherically symmetric collapse of a scalar field in anti-de Sitter spacetime using a newly constructed, open-source code which parallelizes over heterogeneous architectures using the open standard OpenCL. An open question for…

General Relativity and Quantum Cosmology · Physics 2017-10-03 Steven L. Liebling , Gaurav Khanna

We report on the buckling and subsequent collapse of orthotropic elastic spherical shells under volume and pressure control. Going far beyond what is known for isotropic shells, a rich morphological phase space with three distinct regimes…

Soft Condensed Matter · Physics 2019-08-02 Gautam Munglani , Falk K. Wittel , Roman Vetter , Filippo Bianchi , Hans J. Herrmann

Soliton solutions with cylindrical symmetry are investigated within the nonlinear $\sigma $-model disregarding the Skyrme-stabilization term. The solitons are stabilized by quantization of collective breathing mode and collapse in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. Chepilko , A. Kobushkin , A. Syamtomov

We study the dynamics of a spherically symmetric thin shell of perfect fluid embedded in d-dimensional Anti-de Sitter space-time. In global coordinates, besides collapsing solutions, oscillating solutions are found where the shell bounces…

General Relativity and Quantum Cosmology · Physics 2015-07-07 Javier Mas , Alexandre Serantes

False vacuum decay in quantum mechanical first order phase transitions is a phenomenon with wide implications in cosmology, and presents interesting theoretical challenges. In the standard approach, it is assumed that false vacuum decay…

High Energy Physics - Theory · Physics 2022-02-23 Dalila Pirvu , Jonathan Braden , Matthew C. Johnson

Using numerical relativity simulations we study the dynamics of pseudo-topological objects called oscillons for a class of models inspired by axion-monodromy. Starting from free field solutions supported by gravitational attractions, we…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Zainab Nazari , Michele Cicoli , Katy Clough , Francesco Muia

We study the first-order phase transition in a model of scalar field with $O(3)$ symmetry coupled to gravity, and, in high temperature limit, discuss the existence of new bubble solution with a global monopole at the center of the bubble.

High Energy Physics - Theory · Physics 2007-05-23 Nobuyuki Sakai , Yoonbai Kim , Kei-ichi Maeda

In first-order cosmological phase transitions, the asymptotic velocity of expanding bubbles is of crucial relevance for predicting observables like the spectrum of stochastic gravitational waves, or for establishing the viability of…

High Energy Physics - Phenomenology · Physics 2021-03-22 Shyam Balaji , Michael Spannowsky , Carlos Tamarit

The pressure-driven inertial collapse of a cylindrical void in an inviscid liquid is an integrable, Hamiltonian system that forms a finite-time singularity as the radius of the void collapses to zero. Here it is shown that when the natural…

Fluid Dynamics · Physics 2011-12-20 Laura E. Schmidt

We consider localized soliton-like solutions in the presence of a stable scalar condensate background. By the analogy with classical mechanics, it can be shown that there may exist solutions of the nonlinear equations of motion that…

High Energy Physics - Theory · Physics 2016-12-14 E. Nugaev , A. Shkerin , M. Smolyakov

We study the dynamics of axions at first-order phase transitions in non-Abelian gauge theories. When the duration of the phase transition is short compared to the timescale of the axion oscillations, the axion dynamics is similar to the…

High Energy Physics - Phenomenology · Physics 2024-03-19 Junseok Lee , Kai Murai , Fuminobu Takahashi , Wen Yin

Oscillons are localized field configurations oscillating in time with lifetimes orders of magnitude longer than their oscillation period. In this paper, we simulate non-travelling oscillons produced by deforming the breather solutions of…

High Energy Physics - Theory · Physics 2024-02-09 José T. Gálvez Ghersi , Jonathan Braden

A system of a particle and a harmonic oscillator, which have pure point spectrum if uncoupled, is known to acquire absolutely continuous spectrum when the particle and the oscillator are coupled by a sufficiently strong point interaction.…

Mathematical Physics · Physics 2015-05-20 Italo Guarneri

Symmetry breaking is reported for continuous families of solitons in the nonlinear Schr\"odinger equation with a two-dimensional complex potential. This symmetry-breaking bifurcation is forbidden in generic complex potentials. However, for…

Pattern Formation and Solitons · Physics 2015-06-23 Jianke Yang

One way to understand more about spacetime singularities is to construct solutions of the Einstein equations containing singularities with prescribed properties. The heuristic ideas of the BKL picture suggest that oscillatory singularities…

General Relativity and Quantum Cosmology · Physics 2012-12-24 Alan D. Rendall
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