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

Friday 22nd March 2013 - 09:50 to 10:40
INI Seminar Room 1
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons