Hot Fluids and Nonlinear Quantum Mechanics

Abstract

It is shown that a hot relativistic fluid could be viewed as a collection of self-interacting quantum objects. They obey a nonlinear equation which is a modification of the quantum equation obeyed by elementary constituents of the fluid. A uniform phenomenological prescription, to affect the quantum transition from a corresponding classical system, is invoked to derive the nonlinear Schrödinger, Klein-Gordon, and Pauli-Schrödinger equations. It is expected that the created nonlinear quantum mechanics would advance, in a fundamental way, both the conceptual understanding and computational abilities, particularly, in the field of extremely high energy-density physics.

References in corpus (4)

• Dynamics of spin 1/2 quantum plasmas
• Spin magnetohydrodynamics
• Relativistic Klein-Gordon-Maxwell multistream model for quantum plasmas
• Spin-Electromagnetic Hydrodynamics and Magnetization Induced by Spin-Magnetic Interaction

Cited by in corpus (5)

• Hydrodynamic and kinetic models for spin-1/2 electron-positron quantum plasmas: Annihilation interaction, helicity conservation, and wave dispersion in magnetized plasmas
• Quantum spirals
• Dielectric permeability tensor and linear waves in spin-1/2 quantum kinetics with non-trivial equilibrium spin-distribution functions
• Spin-electron-acoustic waves and solitons in high-density degenerate relativistic plasmas
• NLSE for quantum plasmas with the radiation damping