Accession Number : ADA258427
Title : Homogeneous Quantum Electrodynamic Turbulence.
Descriptive Note : Technical memo.,
Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA
Personal Author(s) : Shebalin, John V
Report Date : Oct 1992
Pagination or Media Count : 29
Abstract : The electromagnetic field equations and Dirac equations for oppositely charged wave functions are numerically time-integrated using a spatial Fourier method. The numerical approach used, a spectral transform technique, is based on a continuum representation of physical space. The coupled classical field equations contain a dimensionless parameter which sets the strength of the nonlinear interaction (as the parameter increases, interaction volume decreases). For a parameter value of unity, highly nonlinear behavior in the time-evolution of an individual wave function, analogous to ideal fluid turbulence, is observed. In the truncated Fourier representation which is numerically implemented here, the quantum turbulence is homogenous but anisotropic and manifests itself in the nonlinear evolution of equilibrium modal spatial spectra for the probability density of each particle and also for the electromagnetic energy density. The results show that nonlinearly interacting fermionic wave functions quickly approach a multi-mode, dynamic equilibrium state, and that this state can be determined by numerical means. Homogeneous turbulence; quantum electrodynamics.
Descriptors : *FOURIER ANALYSIS , *QUANTUM ELECTRODYNAMICS , FUNCTIONS , SIMULATION , ELECTROMAGNETIC FIELDS , DENSITY , INTERACTIONS , PARAMETERS , PROBABILITY , ENERGY , NUMERICAL ANALYSIS , TURBULENCE , PARTICLES , FLUIDS , BEHAVIOR , EQUATIONS , WAVE FUNCTIONS
Subject Categories : Electricity and Magnetism
Quantum Theory and Relativity
Distribution Statement : APPROVED FOR PUBLIC RELEASE