Implementation of the particle-in-cell method for the simulation of cold plasmas

This work reports the results obtained from the simulation of cold plasmas using the Particle-In-Cell (PIC) method from algorithms created in Python. The PIC method was used to simulate the dynamics of many particles. To corroborate the simulation of cold plasmas using the PIC method, two phenomena were simulated that follow the electrostatic and one-dimensional model, which were: two-stream instability (TSI) and beam-plasma (BPI); which simulates the instability of two electron flows taking into account the role of ions in the oscillatory interactions of the system for the propagation of waves in plasma, In order to perform the analysis of results, the simulations were done with 105 number of particles disturbing the system from amplitudes of velocity perturbation of A = 0.0, 0.1 and 0.5 with the intention of being able to analyze the evolution of the oscillations within the cold plasmas for these cases and corroborate the presence of electrostatic solitary waves within these cases.