Diffusion of massive particles around an Abelian-Higgs string

Abstract

We study the diffusion of massive particles in the space time of an Abelian Higgs string. The particles in the early universe plasma execute Brownian motion. This motion of the particles is modeled as a two dimensional random walk in the plane of the Abelian Higgs string. The particles move randomly in the space time of the string according to their geodesic equations. We observe that for certain values of their energy and angular momentum, an overdensity of particles is observed close to the string. We find that the string parameters determine the distribution of the particles. We make an estimate of the density fluctuation generated around the string as a function of the deficit angle. Though the thickness of the string is small, the length is large and the overdensity close to the string may have cosmological consequences in the early universe.

arXiv comment11 pages and 8 figures. Accepted for publication in JCAP

References in corpus (18)

• Semilocal and Electroweak Strings
• String Gas Cosmology and Structure Formation
• Abelian Higgs Cosmic Strings: Small Scale Structure and Loops
• New CMB constraints for Abelian Higgs cosmic strings
• Cosmic String constraints from WMAP and the South Pole Telescope
• Non-Gaussianity and the Cosmic Microwave Background Anisotropies
• Natural Inflation: Consistency with Cosmic Microwave Background Observations of Planck and BICEP2
• The 21 cm Signature of Cosmic String Wakes
• Cosmic-String-Seeded Structure Formation
• Classical solutions of the Gravitating Abelian Higgs Model
• Metastable Cosmic Strings in Realistic Models
• Angular 21 cm Power Spectrum of a Scaling Distribution of Cosmic String Wakes
• Geodesic motion in the space-time of a cosmic string
• Searching for Signatures of Cosmic String Wakes in 21cm Redshift Surveys using Minkowski Functionals
• Disruption of Cosmic String Wakes by Gaussian Fluctuations
• A note on circular geodesics in the equatorial plane of an extreme Kerr-Newman black hole
• Note on Structure Formation from Cosmic String Wakes
• Baryon inhomogeneity generation via cosmic strings at QCD scale and its effects on nucleosynthesis

Cited by in corpus (3)

• Neutrino currents in wakes of cosmic strings
• Magnetic reconnection in the wakes of cosmic strings
• Magnetic field amplification and decay in cosmic string wakes