The Vlasov equation cannot fully account for collisionless shocks

2025/06/02 by Bret, Antoine
#FOS: Physical sciences #High Energy Astrophysical Phenomena (astro-ph.HE) #Plasma Physics (physics.plasm-ph) #Solar and Stellar Astrophysics (astro-ph.SR)

paper · doi:10.48550/arxiv.2506.01548

Abstract

It is argued that the Vlasov equation cannot fully account for collisionless shocks since it conserves entropy, while a shock does not. A rigorous mathematical theory of collisionless shocks could require working at the Klimontovich level.

Citations

• Relaxation to universal non-Maxwellian equilibria in a collisionless plasma
• Classical and Quantum Theory of Fluctuations for Many-Particle Systems out of Equilibrium

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• Fundamentals of Non-relativistic Collisionless Shock Physics: I. The Shock Problem
• The collisionless hydrodynamics: On the nonexistence of collisionless shocks
• Physics of collisionless shocks - theory and simulation
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• The Vlasov Bivector: A Parameter-Free Approach to Vlasov Kinematics