Diffusive behaviour and large deviations of one-dimensional active particles with drift

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In this thesis a simple model of an active particle was taken, one including a drift according to its internal state. For this model a diffusion coefficient was determined as well as a rate function for the large deviations. This same model is also applied to electrons, although these particles are not active a diffusion coefficient was also found numerically. Finally there is a section on finding the ground state energy of drifting particles with a Hubbard-U term using diffusion Monte Carlo