ENVR 105

The theoretical models have been elaborated in three steps.

1) Multi-body deuteron fusion model

2) Electronic-quasi-particle/tetrahedral-symmetric-condensate (EQPET/TSC) model

3)Molecular dynamics calculation by Langevin equation

This paper presents briefly the step-1 and step-2, first, as an introduction: The main focus is directed on step-3. Time-dependent condensation motion for 2D-molecules, 3D⁺ ion, 4D/TSC cluster and 6D^-- cluster were modeled by one-dimensional Langevin equations and solved by the Verlet method. Numerical tables for time-dependent d-d distance were obtained, which were further used for calculating Coulomb barrier peneration factors by HMEQPET method. Fusion rates (4D fusion to produce two helium-4 particles) were calculated by Fermi's golden rule. Only 4D/TSC makes ultimate condensation to induce remarkable 4D fusion. TSC realizes super Coulomb-barrier screening and clean (radiation-less) fusion under dynamic ordering/constraint of the PdD system. 2D fusion rate was found to be negligibly small.