Abstract
Original language | English |
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Article number | 032126 |
Journal | Physical Review E |
Volume | 91 |
Issue number | 3 |
DOIs | |
Publication status | Published - 18 Mar 2015 |
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Bibliographical note
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Parallel multicanonical study of the three-dimensional Blume-Capel model. / Zierenberg, Johannes; Fytas, Nikolaos G.; Janke, Wolfhard.
In: Physical Review E, Vol. 91, No. 3, 032126, 18.03.2015.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Parallel multicanonical study of the three-dimensional Blume-Capel model
AU - Zierenberg, Johannes
AU - Fytas, Nikolaos G.
AU - Janke, Wolfhard
N1 - The full text is currently unavailable on the repository. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society Article available from: http://link.aps.org/abstract/PRE/v91/i3/2015/e032126
PY - 2015/3/18
Y1 - 2015/3/18
N2 - We study the thermodynamic properties of the three-dimensional Blume-Capel model on the simple cubic lattice by means of computer simulations. In particular, we implement a parallelized variant of the multicanonical approach and perform simulations by keeping a constant temperature and crossing the phase boundary along the crystal-field axis. We obtain numerical data for several temperatures in both the first- and second-order regime of the model. Finite-size scaling analyses provide us with transition points and the dimensional scaling behavior in the numerically demanding first-order regime, as well as a clear verification of the expected Ising universality in the respective second-order regime. Finally, we discuss the scaling behavior in the vicinity of the tricritical point. Publisher statement: Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society Article available from: http://link.aps.org/abstract/PRE/v91/i3/2015/e032126
AB - We study the thermodynamic properties of the three-dimensional Blume-Capel model on the simple cubic lattice by means of computer simulations. In particular, we implement a parallelized variant of the multicanonical approach and perform simulations by keeping a constant temperature and crossing the phase boundary along the crystal-field axis. We obtain numerical data for several temperatures in both the first- and second-order regime of the model. Finite-size scaling analyses provide us with transition points and the dimensional scaling behavior in the numerically demanding first-order regime, as well as a clear verification of the expected Ising universality in the respective second-order regime. Finally, we discuss the scaling behavior in the vicinity of the tricritical point. Publisher statement: Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society Article available from: http://link.aps.org/abstract/PRE/v91/i3/2015/e032126
U2 - 10.1103/PhysRevE.91.032126
DO - 10.1103/PhysRevE.91.032126
M3 - Article
VL - 91
JO - Physical Review E
JF - Physical Review E
SN - 1539-3755
IS - 3
M1 - 032126
ER -