### Liquid crystals out of equilibrium: connecting molecular dynamics, kinetic and hydrodynamic equations

Fatkullin, I *(University of Arizona)*

Friday 22 March 2013, 09:50-10:40

Seminar Room 1, Newton Institute

#### Abstract

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.

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