Numerical Investigations of Oscillons in 2 Dimensions

Abstract

Oscillons, extremely long-living localized oscillations of a scalar field, are studied in theories with quartic and sine-Gordon potentials in two spatial dimensions. We present qualitative results concentrating largely on a study in frequency space via Fourier analysis of oscillations. Oscillations take place at a fundamental frequency just below the threshold for the production of radiation, with exponentially suppressed harmonics. The time evolution of the oscillation frequency points indirectly to a life time of at least 10 million oscillations. We study also elliptical perturbations of the oscillon, which are shown to decay. We finish by presenting results for boosted and collided oscillons, which point to a surprising persistence and soliton-like behaviour.

arXiv commentMatches the published version (12 pages, 34 figures)

References in corpus (15)

• Freak Waves in Random Oceanic Sea States
• Oscillons: Resonant Configurations During Bubble Collapse
• Pseudo-Stable Bubbles
• Non-Linear Axion Dynamics and Formation of Cosmological Pseudo-Solitons
• Dynamics of tachyonic preheating after hybrid inflation
• I-balls
• Fine Structure of Oscillons in the Spherically Symmetric ${\varphi }^4$ Klein-Gordon Model
• An Oscillon in the SU(2) Gauged Higgs Model
• Unnatural Oscillon Lifetimes in an Expanding Background
• Long-Lived Localized Field Configurations in Small Lattices: Application to Oscillons
• d-dimensional Oscillating Scalar Field Lumps and the Dimensionality of Space
• Simulations of the End of Supersymmetric Hybrid Inflation and Non-Topological Soliton Formation
• Long-lived oscillons from asymmetric bubbles
• Oscillons in a Hot Heat Bath
• Are oscillons present during a first order electroweak phase transition?

Cited by in corpus (55)

• The First Three Seconds: a Review of Possible Expansion Histories of the Early Universe
• Inflaton Fragmentation and Oscillon Formation in Three Dimensions
• Oscillons and Quasi-breathers in the ϕ^4 Klein-Gordon model
• Information Content of Spontaneous Symmetry Breaking
• Radiation and Relaxation of Oscillons
• Small amplitude quasi-breathers and oscillons
• A General Theory of Oscillon Dynamics
• On Longevity of I-ball/Oscillon
• Gravitational waves from asymmetric oscillon dynamics?
• Emergence of Oscillons in an Expanding Background
• Analytical Characterization of Oscillon Energy and Lifetime
• Oscillons and quasi-breathers in D+1 dimensions
• Radiation of scalar oscillons in 2 and 3 dimensions
• Computation of the radiation amplitude of oscillons
• K-Oscillons: Oscillons with Non-Canonical Kinetic Terms
• A Phase Transition in U(1) Configuration Space: Oscillons as Remnants of Vortex-Antivortex Annihilation
• Oscillons and Domain Walls
• Low-cost fermions in classical field simulations
• Oscillons and Dark Matter
• Numerical simulation of oscillatons: extracting the radiating tail
• Compact oscillons in the signum-Gordon model
• Numerical Simulation of an Electroweak Oscillon
• Creating kinks from particles
• Compact objects as the catalysts for vacuum decays
• Mass loss and longevity of gravitationally bound oscillating scalar lumps (oscillatons) in D-dimensions
• Bubbling the False Vacuum Away
• Inflaton fragmentation: Emergence of pseudo-stable inflaton lumps (oscillons) after inflation
• Adiabatic Invariance of Oscillons/I-balls
• Scale-Dependent Growth from a Transition in Dark Energy Dynamics
• A Class of Nonperturbative Configurations in Abelian-Higgs Models: Complexity from Dynamical Symmetry Breaking
• Gravitational effects on oscillon lifetimes
• Properties of oscillons in hilltop potentials: energies, shapes, and lifetimes
• Super-slow phase transition catalyzed by BHs and the birth of baby BHs
• Gravitational Waves from Fully General Relativistic Oscillon Preheating
• Semiclassical decay of topological defects
• Cosmic bubble and domain wall instabilities II: Fracturing of colliding walls
• Oscillons and oscillating kinks in the Abelian-Higgs model
• Correspondence of I- and Q-balls as Non-relativistic Condensates
• Swaying oscillons in the signum-Gordon model
• Oscillons in dilaton-scalar theories
• Decay of an inhomogeneous state via resonant tunnelling
• Primordial Black Hole Formation in Non-Standard Post-Inflationary Epochs
• Inclusion of radiation in the CCM approach of the ${\varphi }^4$ model
• Non-topological solitons and quasi-solitons
• Oscillons during Dirac-Born-Infeld Preheating
• A review on radiation of oscillons and oscillatons
• Decay rates of Gaussian-type I-balls and Bose-enhancement effects in 3+1 dimensions
• Kink-Antikink Formation from an Oscillation Mode by Sudden Distortion of the Evolution Potential
• Excited oscillons: cascading levels and higher multipoles
• Ultra-relativistic oscillon collisions
• Collapse instability and staccato decay of oscillons in various dimensions
• Dimensional deformation of sine-Gordon breathers into oscillons
• Fractal boundary basins in spherically symmetric ${\varphi }^4$ theory
• Vacuum bubble collisions: from microphysics to gravitational waves
• Long-lived Nonlinear Oscillatory States in Interacting Relativistic Bose-Einstein Condensates