Lab Home | Phone | Search
	Center for Nonlinear Studies
	Home  ▶ People   Current   Executive Committee   Postdocs   Visitors   Students   Research   Publications  ▶ Conferences   Workshops   Sponsorship  ▶ Talks   Seminars   Postdoc Seminars Archive   Quantum Lunch   Quantum Lunch Archive   P/T Colloquia   Archive   Ulam Scholar     Postdoc Nominations  ▶ Student Requests   Student Program  ▶ Visitor Requests   Description   Past Visitors  ▶ Services   General     History of CNLS     Maps, Directions   CNLS Office   T-Division   LANL				Monday, September 24, 20073:00 PM - 4:00 PMCNLS Conference Room (TA-3, Bldg 1690) Colloquium Emergent singularities in the dynamics of directed self-assembly of nano-particles Dr. Darryl D. HolmLANL and Imperial College, London Emergent singularities in the dynamics of directed self-assembly of nano-particles Darryl D. Holm Computer and Computational Division, Los Alamos & Mathematics, Imperial College London CNLS Colloquium, Los Alamos National Security LLC, September 24, 2007 The process of Directed Self Assembly (DSA) in nanoscience aims at using macroscopic forces to control the formation of ordered structures of nano-particles. We study how the dynamics of DSA depends on the shapes of the nano-particles. We discuss a kinetic theory approach for deriving a set of macroscopic continuum equations that model the dynamics of DSA for anisotropic nano- particles (whose interactions depend on their relative orientation). DSA itself is characterized at the continuum level as the dynamical emergence of a singular solution for the moments of the probability distribution function starting from smooth initial conditions. The corresponding Smoluchowski approach to the dynamics of DSA for anisotropic nano-particles is also discussed. References [1] J. Gibbons, D. D. Holm, C. Tronci, Singular solutions for geodesic flows of Vlasov moments. To appear on the MSRI Volume “Probability, geometry and integrable systems.” [2] J. Gibbons, D. D. Holm, C. Tronci, Vlasov moments, integrable systems and singular solutions. To appear in Phys. Lett. A (arXiv.org:0705.3603) [3] D. D. Holm, V. Putkaradze, Aggregation of finite-size particles with variable mobility. Phys Rev Lett, 95 (2005) 226-106. [4] D. D. Holm, V. Putkaradze, C. Tronci, Geometric evolution equations for order parameters. Physica D, submitted (arXiv.org:0704.2369) [5] D. D. Holm, V. Putkaradze, C. Tronci, Geometric dissipation in kinetic equations. To appear in C. R. Acad. Sci. Paris, (arXiv.org:0705.0765) [6] D. D. Holm, V. Putkaradze, C. Tronci, Double bracket dissipation in kinetic theories for particles with anisotropic interactions. To appear in Proceedings of the Summer School and Conference on Poisson Geometry, 2005, Trieste, Italy (arXiv.org:0707.4204)