• Rapid Communication

Universality from disorder in the random-bond Blume-Capel model

N. G. Fytas, J. Zierenberg, P. E. Theodorakis, M. Weigel, W. Janke, and A. Malakis
Phys. Rev. E 97, 040102(R) – Published 13 April 2018

Abstract

Using high-precision Monte Carlo simulations and finite-size scaling we study the effect of quenched disorder in the exchange couplings on the Blume-Capel model on the square lattice. The first-order transition for large crystal-field coupling is softened to become continuous, with a divergent correlation length. An analysis of the scaling of the correlation length as well as the susceptibility and specific heat reveals that it belongs to the universality class of the Ising model with additional logarithmic corrections which is also observed for the Ising model itself if coupled to weak disorder. While the leading scaling behavior of the disordered system is therefore identical between the second-order and first-order segments of the phase diagram of the pure model, the finite-size scaling in the ex-first-order regime is affected by strong transient effects with a crossover length scale L*32 for the chosen parameters.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 20 December 2017
  • Revised 26 February 2018

DOI:https://doi.org/10.1103/PhysRevE.97.040102

©2018 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

N. G. Fytas1, J. Zierenberg2,3,4, P. E. Theodorakis5, M. Weigel1, W. Janke2, and A. Malakis1,6

  • 1Applied Mathematics Research Centre, Coventry University, Coventry CV1 5FB, United Kingdom
  • 2Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, 04009 Leipzig, Germany
  • 3Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen, Germany
  • 4Bernstein Center for Computational Neuroscience, 37077 Göttingen, Germany
  • 5Institute of Physics, Polish Academy of Sciences, Al. Lotników 32/46, 02-668 Warsaw, Poland
  • 6Department of Physics, Section of Solid State Physics, University of Athens, Panepistimiopolis, GR 15784 Zografou, Greece

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 97, Iss. 4 — April 2018

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×