
pmid: 16210189
Relativistic versions of the quantum lattice Boltzmann equation are discussed. It is shown that the inclusion of nonlinear interactions requires the standard collision operator to be replaced by a pair of dynamic fields coupling to the relativistic wave function in a way which can be described by a multicomponent complex lattice Boltzmann equation.
Models, Statistical, Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.), Mechanics, Models, Biological, relativistic wave function, Quantum hydrodynamics and relativistic hydrodynamics, Diffusion, Rarefied gas flows, Boltzmann equation in fluid mechanics, Kinetics, Models, Chemical, dynamic fields, relativistic quantum lattice Boltzmann equation, Particle methods and lattice-gas methods, nonlinear interactions, Quantum Theory, Computer Simulation, Colloids, Particle Size, collision operator, multicomponent complex lattice Boltzmann equation, Crystallization, Rheology
Models, Statistical, Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.), Mechanics, Models, Biological, relativistic wave function, Quantum hydrodynamics and relativistic hydrodynamics, Diffusion, Rarefied gas flows, Boltzmann equation in fluid mechanics, Kinetics, Models, Chemical, dynamic fields, relativistic quantum lattice Boltzmann equation, Particle methods and lattice-gas methods, nonlinear interactions, Quantum Theory, Computer Simulation, Colloids, Particle Size, collision operator, multicomponent complex lattice Boltzmann equation, Crystallization, Rheology
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