Two Driven Diffusive Models

It is known that below a certain critical temperature, driven diffusive systems exhibit an ordered phase with striped patterns running the direction of the drive, while above the critical point a gas‐like disordered phase is observed. In this work, we compare two driven diffusive models, one where the driving field is oscillatory, and another where we apply a perpendicular constant drive to the oscillatory field. We find that fixing the temperature and the density of particles, both models also exhibit order‐disorder transitions. The order of the transitions changes with density, that is, first‐order phase transitions occur at low densities while second‐order transition presents at exactly density one‐half. In both models we perform the corresponding phase diagram.