Ordering and Synchronization in Driven Systems

Active matter systems display a rich phenomenology of ordered phases and dynamic pattern formation that can be described by models of self-propelled particles with interactions. We introduce a class of models relevant for studying magnetic nanoparticles (and magnetotactic bacteria) in a fluid at low Reynolds number, and explore the different ordered structures observed in these models and their relevance to experimental systems. We analyze the stability of the ordered structures using ideas of stochastic thermodynamics and discuss how this approach solves the problem of general stability analysis of non-stationary ordered states of active matter.