PIRSA:14050060

Video URL

https://pirsa.org/14050060

Critical Behavior of the Classical XY-model on Fractal Structures

Przedborski, M. (2014). Critical Behavior of the Classical XY-model on Fractal Structures. Perimeter Institute for Theoretical Physics. https://pirsa.org/14050060

Przedborski, Michelle. Critical Behavior of the Classical XY-model on Fractal Structures. Perimeter Institute for Theoretical Physics, May. 07, 2014, https://pirsa.org/14050060 

          @misc{ scivideos_PIRSA:14050060,
            doi = {10.48660/14050060},
            url = {https://pirsa.org/14050060},
            author = {Przedborski, Michelle},
            keywords = {},
            language = {en},
            title = {Critical Behavior of the Classical XY-model on Fractal Structures},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2014},
            month = {may},
            note = {PIRSA:14050060 see, \url{https://scivideos.org/index.php/pirsa/14050060}}
          }

Michelle Przedborski

Talk numberPIRSA:14050060
DOI10.48660/14050060
Source RepositoryPIRSA
Collection
Talk Type Conference

Abstract

There has been considerable interest in determining whether the universality hypothesis extends to systems which are of non-integer dimension or to systems which are scale invariant (fractals). Specifically research into these types of systems is concerned with determining the relevance of topological properties to their critical phenomena. We have performed Monte Carlo simulations for the XY model on three fractal lattices with different topological properties: the Sierpinski pyramid Menger sponge and Sierpinski carpet. We will give an overview of our results and show that while some properties such as the order of ramification are important in determining the critical behavior of these structures the fractal dimension is not.