Joint Analysis Seminar
Dienstag, 28.05.2013, 15.45 Uhr
Energy-driven pattern formation via competing long- and short-range interactions
Prof. Mark Peletier (University of Eindhoven)
I will discuss patterns in block copolymer melts. This is a model system that is mathematically tractable, physically meaningful (and experimentally accessible) and representative for a large class of energy-driven pattern-forming systems. Such systems show a remarkable variety of different patterns, of which only a small fraction is well understood.
In this talk I will focus on a variational model for this system, in a parameter regime in which the system forms regular patterns of small spheroid blobs, called particles. The energy for these structures is dominated by a single-particle term, which penalizes each particle independently. This term drives the system towards particles of a well-defined size. At the next level the interaction between the particles is given by a Coulomb interaction potential, giving rise to approximately periodic arrangements.
Zeit: 15:45 Uhr Please join us for coffee beforehand at 15:15 in room 114 in the Main Building.
Ort: Hauptgebäude, Hörsaal V, Templergraben 55, 52062 Aachen