Costantino Di Bello
A model of non-interacting particles in one dimension under resetting dynamics.
Rel. Alessandro Pelizzola. Politecnico di Torino, Corso di laurea magistrale in Physics Of Complex Systems (Fisica Dei Sistemi Complessi), 2021
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Abstract
In the framework of stochastic dynamics, resetting generally leads – since detailed balance is not enforced – to the existence of a non-equilibrium steady state (NESS). The model we studied here has already been treated in literature in the case of absence of resetting. We tried to understand how a resetting dynamics induces the reaching of the NESS and how resetting induces dynamical phase transitions. Specifically, we considered a one-dimensional system of noninteracting particles all located on the negative x-axis with a fixed density 𝜌. We make use of a general treatment to study the flux of particles through the origin.
We also considered two cases: (i) diffusive dynamics with resetting and (ii) run-and-tumble dynamics with resetting
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