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Finite-size effects in the rough phase of the 3d Ising model

Walter Selke

Physica A: Statistical Mechanics and its Applications, 2021, vol. 565, issue C

Abstract: Using Monte Carlo simulations, finite-size effects of interfacial properties in the rough phase of the Ising on a cubic lattice with L×L×R sites are studied. In particular, magnetization profiles perpendicular to the flat interface of size L×R are studied, with L being considerably larger than R, in the (pre)critical temperature range. The resulting R-dependences are compared with predictions of the standard capillary-wave theory, in the Gaussian approximation, and with a field theory based on effective string actions, for L=∞.

Keywords: Ising model; Interface; Rough phase; Monte Carlo simulation (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:565:y:2021:i:c:s0378437120308669

DOI: 10.1016/j.physa.2020.125568

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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