Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Dissipative String Fluids

Daniel Schubring

Abstract

Systems of interacting networks of strings such as cosmic strings or quantum vortices can be approximated in a certain regime as an anisotropic fluid with an equation of state depending on a conserved flux. The equations for ideal magnetohydrodynamics are shown to be another example of a fluid of this type. Previous work on these fluids is now extended to include dissipative effects. The new dissipative terms are discussed in terms of both standard resistive magnetohydrodynamics and small-scale structure formation in networks of cosmic strings. Conditions are derived for the stationary solutions of the fluid. The requirement of frame invariance restricts second-order corrections to the theory, and is used to calculate the speed of second sound for an idealized cosmic string model.

Dissipative String Fluids

Abstract

Systems of interacting networks of strings such as cosmic strings or quantum vortices can be approximated in a certain regime as an anisotropic fluid with an equation of state depending on a conserved flux. The equations for ideal magnetohydrodynamics are shown to be another example of a fluid of this type. Previous work on these fluids is now extended to include dissipative effects. The new dissipative terms are discussed in terms of both standard resistive magnetohydrodynamics and small-scale structure formation in networks of cosmic strings. Conditions are derived for the stationary solutions of the fluid. The requirement of frame invariance restricts second-order corrections to the theory, and is used to calculate the speed of second sound for an idealized cosmic string model.

Paper Structure

This paper contains 10 sections, 104 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Perfect String Fluids
  3. Wiggly string fluid
  4. Magnetohydrodynamics
  5. Dissipative String Fluids
  6. Tensor decomposition
  7. Entropy current
  8. Dissipation in F
  9. Stationary solutions
  10. Second-order theory

Figures (1)

  • Figure 1: Adjacent layers of straight strings diffuse and overlap. Through reconnection, entropy in the form of wiggles is produced. There is also some loss of net flux as indicated by the number of black wiggly strings passing the dotted line.