Affordable Access

Phase Transitions in Disordered Systems

Authors
  • Gordillo-Guerrero, A.
Type
Preprint
Publication Date
Apr 12, 2010
Submission Date
Mar 11, 2010
Identifiers
arXiv ID: 1004.1579
Source
arXiv
License
Yellow
External links

Abstract

We face the problem of phase transitions in diluted systems both from theoretical and numerical sides. We study the effects of quenched site-dilution in classical models (Heisenberg, Ising and Potts) in 2, 3, and 4 dimensions both by using the Renormalization Group and numerical simulations in the canonical and microcanonical ensembles. We propose and check a new formulation of the Finite Size Scaling ansatz (FSS) inside the microcanonical ensemble. We use microcanonical simulations to obtain a clear fist-order behavior for the diluted Potts model in 3D, estimating the tricritical dilution. We perform large-scale simulations of the 3D diluted Heisenberg model, checking its self-averaging properties. Finally we study the 4D diluted Ising model obtaining from the FSS of the specific heat a clear differentiation between the existing conflicting theories. We also compiled a large number of appendix that we expect to be used as future reference.

Report this publication

Statistics

Seen <100 times