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Timetable (DNMW05)

Spring school on the mathematical design of materials

Monday 25th March 2019 to Friday 29th March 2019

Monday 25th March 2019
13:00 to 13:20 Registration
13:20 to 13:30 Welcome from Christie Marr (INI Deputy Director)
13:30 to 14:30 Kathleen J Stebe (University of Pennsylvania); (University of Pennsylvania)
Geometry and assembly at fluid boundaries - 1
INI 1
14:45 to 15:45 Kathleen J Stebe (University of Pennsylvania); (University of Pennsylvania)
Geometry and assembly at fluid boundaries - 2
INI 1
15:45 to 16:00 Afternoon Tea
16:00 to 17:00 Mitchell Luskin (University of Minnesota)
Mathematical Modeling and Numerical Analysis for Incommensurate 2D Materials - 1
INI 1
17:00 to 18:30 Welcome drinks reception at the INI
Tuesday 26th March 2019
09:00 to 10:00 Mitchell Luskin (University of Minnesota)
Mathematical Modeling and Numerical Analysis for Incommensurate 2D Materials - 2
INI 1
10:15 to 11:15 Oleg Lavrentovich (Kent State University); (Kent State University)
Design of Liquid Crystals for Microscale Dynamics - 1

Dynamics of small particles in fluids has fascinated scientists for centuries, since van Leeuwenhoek observed in 1674 tiny creatures, nowadays known as “bacteria”, swimming chaotically in a droplet of water. Much later, Brown found that even inanimate small particles, when placed in water, engage in a similar chaotic dynamics. If one could learn how to control and streamline the chaotic motion of particles such as bacteria and colloids at the microscale, that would open technological opportunities in areas such as transformation of stored or environmental energy into systematic motion, micro-robotics, transport of matter at microscale, etc. Remarkably, bacteria and colloids driven by an external field do not obey the laws of thermodynamics and can be used to extract a useful work. This set of lecture presents an approach to command microscale dynamics by replacing an isotropic medium such as water with an anisotropic fluid, a liquid crystal. The liquid crystals are formed by elongated molecules that tend to align parallel to each other along a common direction called the director. As a result, physical properties, such as electric conductivity or viscosity depend on the direction of measurement, whether it is parallel or perpendicular to the director. Orientational order of the medium leads to new dynamic effects, such as anomalous diffusion [1] and formation of particle-like solitary waves [2]. By using a newly developed technique of nano-photonic photoalignment, the liquid crystal director can be patterned into any predesigned structure [3]. We demonstrate that the patterned liquid crystals can control microscale dynamics of inanimate particles such as solid colloids, fluid droplets, through the effects of nonlinear electrophoresis [4] and electro-osmosis [5]. Moreover, plasmonic patterning of liquid crystals allows one to command the dynamics of swimming bacteria, guiding their trajectories, polarity of swimming and concentration in space [6]. The patterned director design can also be extended to liquid crystal elastomers, in which case the director field controls the thickness of elastomer coatings [7]. Some of these systems form an experimental playground for the exploration of out-of-equilibrium active matter, in which the levels of activity and degree of orientational order can be controlled separately.The work is supported by NSF DMREF DMS-1729509 and by Office of Science, U.S. Department of Energy, grant DE-SC0019105.[1] T. Turiv, I. Lazo, A. Brodin, B. I. Lev, V. Reiffenrath, V. G. Nazarenko, and O. D. Lavrentovich, Effect of Collective Molecular Reorientations on Brownian Motion of Colloids in Nematic Liquid Crystal, Science 342, 1351-1354 (2013).[2] B. X. Li, V. Borshch, R. L. Xiao, S. Paladugu, T. Turiv, S. V. Shiyanovskii, and O. D. Lavrentovich, Electrically-driven three-dimensional solitary waves as director bullets in nematic liquid crystals, Nature Communications 9, 2912 (2018).[3] Y. Guo, M. Jiang, C. Peng, K. Sun, O. D. Lavrentovich, and Q.-H. Wei, High-Resolution and High-Throughput Plasmonic Photopatterning of Complex Molecular Orientations in Liquid Crystals Advanced Materials 28, 2353-2358 (2016).[4] O. D. Lavrentovich, I. Lazo, and O. P. Pishnyak, Nonlinear electrophoresis of dielectric and metal spheres in a nematic liquid crystal, Nature 467, 947-950 (2010).[5] I. Lazo, C. H. Peng, J. Xiang, S. V. Shiyanovskii, and O. D. Lavrentovich, Liquid crystal-enabled electro-osmosis through spatial charge separation in distorted regions as a novel mechanism of electrokinetics, Nature Communications 5, 5033 (2014).[6] C. Peng, T. Turiv, Y. Guo, Q.-H. Wei, and O. D. Lavrentovich, Command of active matter by topological defects and patterns, Science 354, 882-885 (2016).[7] G. Babakhanova, T. Turiv, Y. B. Guo, M. Hendrikx, Q. H. Wei, A. Schenning, D. J. Broer, and O. D. Lavrentovich, Liquid crystal elastomer coatings with programmed response of surface profile, Nature Communications 9, 456, 456 (2018).

INI 1
11:15 to 11:30 Morning Coffee
11:30 to 12:30 Oleg Lavrentovich (Kent State University); (Kent State University)
Design of Liquid Crystals for Microscale Dynamics - 2
INI 1
12:30 to 13:30 Lunch at Churchill College
13:30 to 14:30 Kathleen J Stebe (University of Pennsylvania); (University of Pennsylvania)
Geometry and assembly at fluid boundaries - 3
INI 1
14:45 to 15:45 Kathleen J Stebe (University of Pennsylvania); (University of Pennsylvania)
Geometry and assembly at fluid boundaries - 4
INI 1
15:45 to 16:00 Afternoon Tea
16:00 to 17:00 Mitchell Luskin (University of Minnesota)
Mathematical Modeling and Numerical Analysis for Incommensurate 2D Materials - 3
INI 1
19:30 to 22:00 Formal Dinner at Jesus College (Upper Hall)



LOCATION
Jesus College
How to get there

MENU

Starters
Pan seared scallop, truffle celeriac, Granny Smith apple and golden beetroot
Banana shallot tart tatin, sauté girolle, red veined sorrel and Madeira syrup (V)  
Main course Lightly cured fillet of cod, saffron pommes Parisienne, spinach, globe artichoke and bouillabaisse sauce
Cumin and coriander gnocchi, creamed spinach, marinated paneer and red pepper chutney (V)  
Pudding
Fig tart tatin, brown bread ice cream, Cassis syrup and hazelnut brittle  

DRESS CODE
Smart casual

Wednesday 27th March 2019
09:00 to 10:00 Mitchell Luskin (University of Minnesota)
Mathematical Modeling and Numerical Analysis for Incommensurate 2D Materials - 4
INI 1
10:15 to 11:15 Oleg Lavrentovich (Kent State University); (Kent State University)
Design of Liquid Crystals for Microscale Dynamics - 3
INI 1
11:15 to 11:30 Morning Coffee
11:30 to 12:30 Oleg Lavrentovich (Kent State University); (Kent State University)
Design of Liquid Crystals for Microscale Dynamics - 4
INI 1
12:30 to 13:30 Lunch at Churchill College
13:30 to 17:00 Free afternoon
Thursday 28th March 2019
09:00 to 10:00 Richard James (University of Minnesota)
Supercompatibility and the direct conversion of heat to electricity - 1
INI 1
10:15 to 11:15 Richard James (University of Minnesota)
Supercompatibility and the direct conversion of heat to electricity - 2
INI 1
11:15 to 11:30 Morning Coffee
11:30 to 12:30 Peter Palffy-Muhoray (Kent State University)
Heliconical cholesteric liquid crystals: self-assembled tunable photonic bandgap materials - 1
INI 1
12:30 to 13:30 Lunch at Churchill College
13:30 to 14:30 Richard James (University of Minnesota)
Supercompatibility and the direct conversion of heat to electricity - 3
INI 1
14:45 to 15:45 Peter Palffy-Muhoray (Kent State University)
Heliconical cholesteric liquid crystals: self-assembled tunable photonic bandgap materials - 2
INI 1
15:45 to 16:00 Afternoon Tea
16:00 to 17:00 Peter Palffy-Muhoray (Kent State University)
Heliconical cholesteric liquid crystals: self-assembled tunable photonic bandgap materials - 3
INI 1
Friday 29th March 2019
09:00 to 10:00 Richard James (University of Minnesota)
Supercompatibility and the direct conversion of heat to electricity - 4
INI 1
10:15 to 11:15 Peter Palffy-Muhoray (Kent State University)
Heliconical cholesteric liquid crystals: self-assembled tunable photonic bandgap materials - 4
INI 1
11:15 to 11:30 Morning Coffee
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons