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.

26 pages, 1 figure; typos corrected

References in corpus (7)

• Higher-dimensional Rotating Charged Black Holes
• Cold, warm, and composite (cool) cosmic string models
• Dual strings and magnetohydrodynamics
• Kinetic Theory and Hydrodynamics of Cosmic Strings
• Fluid Mechanics of Strings
• Transport Equation for Nambu-Goto Strings
• String Fluid in Local Equilibrium

Cited by in corpus (20)

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• Relativistic magnetohydrodynamics
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• Generalised global symmetries in states with dynamical defects: the case of the transverse sound in field theory and holography
• Generalised global symmetries in holography: magnetohydrodynamic waves in a strongly interacting plasma
• Magnetohydrodynamics as superfluidity
• New developments in relativistic magnetohydrodynamics
• One-form superfluids and magnetohydrodynamics
• A stable and causal model of magnetohydrodynamics
• 2-group global symmetries, hydrodynamics and holography
• Dissipative hydrodynamics with higher-form symmetry
• A variational approach to relativistic superfluid vortex elasticity
• Operator lifetime and the force-free electrodynamic limit of magnetised holographic plasma
• Higher-form symmetry and chiral transport in real-time Abelian lattice gauge theory
• Effective field theories of dissipative fluids with one-form symmetries
• Field Theory for Perfect String Fluids
• Resistive relativistic magnetohydrodynamics without Amperes Law
• Ideal MHD(-Einstein) Solutions Obeying The Force-Free Condition