Microscopic Description of Odd Fluids

Most of the time, systems made out of many interacting particles can be described with only a few physical quantities on large scales, as most of the microscopic details wash out. The framework of hydrodynamics gives a simple and a universal description of such systems on macroscopic scales based on symmetries and conservation laws. When time reversal and mirror symmetries in a fluid are broken, the hydrodynamic framework must take that into account, resulting in equations beyond the standard Navier-Stokes description. Such fluids can respond to external perturbations in the transverse direction and are referred to as odd fluids. In this thesis we focus on the microscopic origins of odd fluids. We first present a particular microscopic model, systematically derive its hydrodynamic description, and explicitly show that it indeed behaves as an odd fluid by computing the linear response coefficients of the model. Then, inspired by our approach in the first part, we modify the well-known lattice Boltzmann method, present an efficient simulation method for odd fluids, and use it to simulate two dimensional compressible flows for which analytical solutions are not availabe.