arXiv subjects
Publications and source records attributed to Edsel A. Ammons.
A calculational approach in fluid turbulence is presented. Use is made of the attracting nature of the fluid-dynamic dynamical system. An approach is offered that effectively propagates the statistics in time. Loss of sensitivity to an initial probability density functional and generation of stationary statistical effects is speculated.
A calculational approach in fluid turbulence is presented. Use is made of the attracting nature of the fluid-dynamic dynamical system. An approximate approach is offerred that effectively propagates the statistics in time. Loss of sensitivity to an initial probability density functional and generation of steady-state statistical effects is suggested.
A proposal for a calculational program in fluid turbulence is presented. It is proposed that the fluid probability density functional has an attractor for its time-evolution, just as the dynamical system itself has. The evolution of the fluid's statistics can be set up as a space-time path integral. Fluid space-time configuration sampling techniques naturally suggest a useful way, using an arbitrary initial statistics functional, to calculate averages.
A program to utilize the Tamm-Dancoff approximation, on the light-front, to solve relativistic quantum field theories, is presented. We present a well defined renormalization program for the Tamm-Dancoff approximation. This renormalization program utilizes a Minkowski space version of Wilson's renormalization group. We studied light-front $ϕ^{4}$ field theory in 3+1 dimensions, within a two-particle truncation of Fock space. We further simplified our calculations by considering only one marginal operator and one irrelevant operator. The renormalization procedure required no more marginal or relevant operators. We derived an effective, renormalized, Hamiltonian. These techniques may be germane to the effort to find an effective, low energy, light-front Hamiltonian for quantum chromodynamics. PACS number(s): 11.10Gh, 11.10Ef