Liquid crystals out of equilibrium: connecting molecular dynamics, kinetic and hydrodynamic equations
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About this item
| Description: |
Fatkullin, I (University of Arizona)
Friday 22 March 2013, 09:50-10:40 |
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| Created: | 2013-03-22 17:04 |
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| Collection: | The Mathematics of Liquid Crystals |
| Publisher: | Isaac Newton Institute |
| Copyright: | Fatkullin, I |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| 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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