Variational methods in Material Science

seminar: Asymptotic analysis of binary discrete systems

speaker: Andrea Braides (Università degli Studi di Roma "Tor Vergata")

abstract: The discrete-to-continuous analysis of binary discrete systems already contains many of the features and problems of more complex interactions. We show how a multi-scale analysis of these systems exhibits bulk energies of different type, phase and anti-phase boundaries, multi-phase limits, and gives way to the description of vortex singularities in the vector case. It also allows a simple introduction of a random dependence on the lattice, whose continuous counterpart is easily described in the ``dilute case'', while it becomes more delicate in the general case. Work in collaboration with Alicandro, Cicalese and Piatnitski.

timetable:
Thu 12 Oct, 10:00 - 10:55, Aula Dini
<< Go back