Théorique, numérique
Transport of soft matter at small scales is at the heart of many modern scientific challenges, such as the design of new nanomaterials or nanofluidic devices, or the understanding of intracellular self-organization. The hallmarks of these systems are their strong heterogeneity, and their nonequilibrium nature. From a theoretical perspective, the interplay between these two features makes the analytical description of such systems particularly difficult, and the available models are generally restricted to single species systems, with simple pair interactions between the constituents. In this context, the goal of this internship is to understand the transport and diffusion properties of tracer particles in heterogeneous and nonequilibrium suspensions at the micro and nanoscales. We will consider model descriptions of nonequilibrium suspensions (that include multi-temperature thermostats, or non-reciprocal interactions) that were introduced recently, and that have received a lot of attention in the scientific community. In particular, the transport and diffusivity properties of tracer particles will be investigated through analytical calculations, that will rely on appropriate approximation schemes, and Brownian dynamics simulations. The effect of the heterogeneity and geometrical constraints of the nonequilibrium suspension on the dynamics of tracer particles will be unveiled.