Factor Fluctuation in Super Short Avalanche Electron Propagation

Compact Intracloud Discharges (CID) and most of Transient Luminous Events (TLE) are two known microsecond-pulse discharges related to electrical activity of thunderclouds. However, their nature and relationship with other cloud discharges still unclear. Few theoretical models had been proposed to explain the nature of this phenomenon. Some proposed models involved the effects of runaway electron avalanches (REA) and relativistic runaway electron avalanches (RREA) as essential part of the aforementioned discharges. In this work, an initial stage is done to propose new models to explain behavior of CID and TLE. Thus, it is simulated the propagation of a charged particle for a short distance, emulating a supershort avalanche electron beam (SAEB). Specifically, first results presented come from simulating the displacement of a charged particle and finding its fluctuation factor by means of perturbations theory. Other works on this issue has been done using different approaches namely, Feynman integrals with similar outcomes. Perturbation theory is used because in order to allow a future interaction in the model among particles, the terms of the perturbation series can be manipulated using Feynman diagrams. Initial conditions assumed for this work are: unit cell, anisotropic volume and N molecules inside the volume with no interaction. Three relevant conclusions can be exposed from the results, the simulation is coherent with the obtained results using Feynman integrals approach and the equations make possible to predict the amount of photons generated during the avalanche. Finally, it is possible to model charged particle generation through annihilation of variations of electric potential. Future work includes update the model to consider the interaction among molecules and perform experimental validation of the proposed model.