Interfacial adsorption in Potts models on the square lattice

Nikolaos Fytas; A. Malakis; W. Selke; L.N. Shchur

doi:10.1140/epjb/e2015-60326-8

Interfacial adsorption in Potts models on the square lattice

Nikolaos Fytas, A. Malakis, W. Selke, L.N. Shchur

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Abstract

We study the effect of interfacial phenomena in two-dimensional perfect and random (or disordered) q-state Potts models with continuous phase transitions, using, mainly, Monte Carlo techniques. In particular, for the total interfacial adsorption, the critical behavior, including corrections to scaling, are analyzed. The role of randomness is scrutinized. Results are discussed applying scaling arguments and invoking findings for bulk critical properties. In all studied cases, i.e., q = 3, 4, and q = 8, the spread of the interfacial adsorption profiles is observed to increase linearly with the lattice size at the bulk transition point.

Original language	English
Pages (from-to)	204
Journal	European Physical Journal B
Volume	88
DOIs	https://doi.org/10.1140/epjb/e2015-60326-8
Publication status	Published - 10 Aug 2015

Bibliographical note

The final publication is available at Springer via http://dx.doi.org/10.1140/epjb/e2015-60326-8.

Keywords

Statistical and Nonlinear Physics

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10.1140/epjb/e2015-60326-8

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title = "Interfacial adsorption in Potts models on the square lattice",

abstract = "We study the effect of interfacial phenomena in two-dimensional perfect and random (or disordered) q-state Potts models with continuous phase transitions, using, mainly, Monte Carlo techniques. In particular, for the total interfacial adsorption, the critical behavior, including corrections to scaling, are analyzed. The role of randomness is scrutinized. Results are discussed applying scaling arguments and invoking findings for bulk critical properties. In all studied cases, i.e., q = 3, 4, and q = 8, the spread of the interfacial adsorption profiles is observed to increase linearly with the lattice size at the bulk transition point. ",

keywords = "Statistical and Nonlinear Physics",

author = "Nikolaos Fytas and A. Malakis and W. Selke and L.N. Shchur",

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AU - Fytas, Nikolaos

AU - Malakis, A.

AU - Selke, W.

AU - Shchur, L.N.

N1 - The final publication is available at Springer via http://dx.doi.org/10.1140/epjb/e2015-60326-8.

PY - 2015/8/10

Y1 - 2015/8/10

N2 - We study the effect of interfacial phenomena in two-dimensional perfect and random (or disordered) q-state Potts models with continuous phase transitions, using, mainly, Monte Carlo techniques. In particular, for the total interfacial adsorption, the critical behavior, including corrections to scaling, are analyzed. The role of randomness is scrutinized. Results are discussed applying scaling arguments and invoking findings for bulk critical properties. In all studied cases, i.e., q = 3, 4, and q = 8, the spread of the interfacial adsorption profiles is observed to increase linearly with the lattice size at the bulk transition point.

AB - We study the effect of interfacial phenomena in two-dimensional perfect and random (or disordered) q-state Potts models with continuous phase transitions, using, mainly, Monte Carlo techniques. In particular, for the total interfacial adsorption, the critical behavior, including corrections to scaling, are analyzed. The role of randomness is scrutinized. Results are discussed applying scaling arguments and invoking findings for bulk critical properties. In all studied cases, i.e., q = 3, 4, and q = 8, the spread of the interfacial adsorption profiles is observed to increase linearly with the lattice size at the bulk transition point.

KW - Statistical and Nonlinear Physics

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DO - 10.1140/epjb/e2015-60326-8

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SN - 1434-6036

VL - 88

SP - 204

JO - European Physical Journal B

JF - European Physical Journal B

ER -

Interfacial adsorption in Potts models on the square lattice

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