Liquid crystals out of equilibrium: connecting molecular dynamics, kinetic and hydrodynamic equations
Seminar Room 1, Newton Institute
I will start from the microscopic Hamiltonian dynamics and use projection-operator formalism to derive a generalized Langevin equation for liquid crystalline systems. Using Markovian approximation this equation then may be tuned into a bona fide stochastic differential equation which may be used for molecular dynamics simulations. Further on, using ideas of propagation of chaos, we can derive kinetic Doi-Smoluchwski type equation, and finally, the hydrodynamic equations as equations for the moments.