Kinetic theory and hydrodynamics of cosmic strings

Vitaly Vanchurin

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7 Scopus citations

Abstract

We develop further a kinetic theory of strings and derive a transport equation for a network of cosmic strings with Nambu-Goto evolution, interactions, and background gravitational effects taken into account. We prove an H-theorem and obtain necessary and sufficient conditions for a thermodynamic equilibrium. At the lowest order, the equilibrium is estimated by the von Mises-Fisher distributions, parametrized by mean directions and dispersions of the right- and left-moving tangent vectors. Under assumption of a local equilibrium, we derive a complete set of hydrodynamic equations that govern the evolution of strings on large scales. We also argue that on small scales, the assumption of a local equilibrium would break down, so nonequilibrium steady states, described by the Sinai-Ruelle-Bowen distributions, should be used instead.

Original languageEnglish (US)
Article number063508
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume87
Issue number6
DOIs
StatePublished - Mar 7 2013
Externally publishedYes

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