Kinetic Theory and Hydrodynamics of Cosmic Strings
arXiv:1301.1973 · doi:10.1103/PhysRevD.87.063508
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, and non-equilibrium steady states, described by the Sinai-Ruelle-Bowen distributions, should be used instead.
15 pages, replaced to match version accepted by PRD
References in corpus (13)
- Cosmic string loops in the expanding universe
- Analytic Study of Small Scale Structure on Cosmic Strings
- Cosmic String Structure at the Gravitational Radiation Scale
- B-modes from Cosmic Strings
- Cosmic String Loops, Large and Small
- Gravitational Waves from Light Cosmic Strings: Backgrounds and Bursts with Large Loops
- Radio Broadcasts from Superconducting Strings
- Radio bursts from superconducting strings
- Scaling solution for small cosmic string loops
- Cosmic string loops: large and small, but not tiny
- Towards a kinetic theory of strings
- Semi-scaling cosmic strings
- Non-Gaussianity of the distribution tails in CMB
Cited by in corpus (9)
- Cosmic string loop production functions
- Dissipative String Fluids
- Charge-velocity-dependent one-scale linear model
- Entropic Mechanics: towards a stochastic description of quantum mechanics
- Transport Equation for Nambu-Goto Strings
- Fluid Mechanics of Strings
- Dynamical simulations of colliding superconducting strings
- String Fluid in Local Equilibrium
- Field Theory for Perfect String Fluids