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Homogenization of spin systems

  • Date February 11, 2016
  • Hour 3 pm
  • Room GSSI Room A
  • Speaker Andrea Braides (University of Roma Torvergata)

ABSTRACT

We address the problem of the description of the macroscopic behaviour of spin systems with inhomogeneous interactions. In particular 1) we completely describe the effective surface tension of periodic mixtures of two types of ferromagnetic interactions. This problem is linked to optimal design of networks and their metric properties (joint work with L.Kreutz); 2) we study conditions ensuring the possibility of describing systems of mixtures of ferromagnetic and antiferromagnetic interactions via an effective surface tension. Examples of frustrated systems are given when this can or cannot be done (joint work with M.Cicalese); 3) we study the case when antiferromagnetic interactions appear with low (but finite) probability, and show that generically such system behave as ferromagnetic systems (joint work with A.Causin, A.Piatnitski, and M. Solci).