ACDC Seminar by Annika Bach on the 14th of October

On the 14th of October at 16.00, Annika Bach will give an Amsterdam Dynamics Seminar. We will go for drinks at Bar Boele after the talk.

The talk will take place in the Maryam seminar room (9A-46).

Title: Discrete-to-continuum variational analysis for lattice spin systems

Abstract: This talk will give an overview on recent progress on the passage from lattice spin systems such as the classical XY -model to continuum models in a variational framework. In such a framework, spin systems are considered as energy-driven lattice systems where the order parameter takes values
in the unit sphere. The main challenge is then to characterize the macroscopic behaviour of such systems as the lattice spacing vanishes, while keeping the scale-dependent relevant microscopic information. A crucial tool to approach this challenge is Γ-convergence, which allows to coarse-grain discrete energy functionals to their continuum counterparts as the discretisation parameter
vanishes.

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