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DY: Fachverband Dynamik und Statistische Physik
DY 22: Focus Session: Recent Progresses in Criticality in the Presence of Boundaries and Defects I (joint session DY/TT)
DY 22.6: Invited Talk
Wednesday, March 20, 2024, 11:15–11:45, A 151
Criticality senses topology — Oleg Vasilyev2, •Anna Maciolek1, and Siegfried Dietrich2 — 1Institute of Physical Chemistry Polish Academy of Sciences, Warsaw — 2Max-Planck-Institute for Intelligent Systems, Stuttgart
It is well known that near the critical point, the behavior of a condensed matter system is characterized by the universality class. According to the concept of universality, the critical exponents governing the power law behavior of physical quantities, as well as the corresponding scaling functions, are the same within one universality class. In this lecture I will ask the question to what extent critical behavior "recognizes" the topology of the manifold supporting the critical system. This question is important because topological surfaces can either form spontaneously, such as vesicle membranes in biological systems, or they can be fabricated, such as Möbius rings, from microsized single crystals or from self-assembled chiral block copolymers. I will talk about our recent research that tried to answer this question for Ising-like systems, using Monte Carlo simulations of the Ising model on finite two-dimensional manifolds with different topologies.
Keywords: Critical scaling functions; Topology; Lattice spin models; Thermodynamic functions