Chiral Shock Waves

Abstract

We study the shock waves in relativistic chiral matter. We argue that the conventional Rankine-Hugoinot relations are modified due to the presence of chiral transport phenomena. We show that the entropy discontinuity in a weak shock wave is quadratic in the pressure discontinuity when the effect of chiral transport becomes sufficiently large. We also show that rarefaction shock waves, which do not exist in usual nonchiral fluids, can appear in chiral matter. The direction of shock wave propagation in a vorticity is found to be completely determined by the direction of the vorticity and the chirality of fermions. These features are exemplified by shock propagation in dense neutrino matter in the hydrodynamic regime.

5 pages; v3: published version

References in corpus (8)

• The Chiral Magnetic Effect
• Charge separation induced by P-odd bubbles in QCD matter
• Gravitational Anomaly and Transport
• Chiral Magnetic Wave
• Relativistic Hydrodynamics with General Anomalous Charges
• Chiral transport of neutrinos in supernovae: Neutrino-induced fluid helicity and helical plasma instability
• Scaling laws in chiral hydrodynamic turbulence
• Thermal chiral vortical and magnetic waves: new excitation modes in chiral fluids

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• Equilibration of the chiral asymmetry due to finite electron mass in electron-positron plasma
• Collective Excitations in Hot QCD Plasma
• Chiral asteroseismology: seismic oscillations caused by chiral transport in neutron stars and supernovae
• Chiral effects and Joule heating in hot and dense matter
• First experience with classical-statistical real-time simulations of anomalous transport with overlap fermions