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

Fytas, N. G., Zierenberg, J., Theodorakis, P. E., Weigel, M., Janke, W., & Malakis, A. (2018). Universality from disorder in the random-bond Blume-Capel model. Physical Review E, 97(4): 040102. doi:10.1103/PhysRevE.97.040102.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-3A51-3 Version Permalink: http://hdl.handle.net/21.11116/0000-0001-3A52-2
Genre: Journal Article

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 Creators:
Fytas, N. G., Author
Zierenberg, Johannes1, Author              
Theodorakis, P. E., Author
Weigel, M., Author
Janke, W., Author
Malakis, A., Author
Affiliations:
1Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063286              

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 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* approximate to 32 for the chosen parameters.

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Language(s): eng - English
 Dates: 2018-04-132018-04
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1103/PhysRevE.97.040102
 Degree: -

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Title: Physical Review E
Source Genre: Journal
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Pages: 6 Volume / Issue: 97 (4) Sequence Number: 040102 Start / End Page: - Identifier: -