DOI: 10.1142/s0217979297001076. Magnetization Profile in the D= 2 Semi-Infinite Ising Model and Crossover Between Ordinary and Normal Transition

Magnetization Profile in the D= 2 Semi-Infinite Ising Model and Crossover Between Ordinary and Normal Transition

10.1142/s0217979297001076

Crossref journal-article

World Scientific Pub Co Pte Lt

International Journal of Modern Physics B (219)

Abstract

We study the two-dimensional semi-infinite Ising model with a free surface at or near bulk criticality. Special attention is paid to the influence of a boundary magnetic field h1 on the surface-near regime and the crossover between the fixed points at h1=0 and h1=∞. Near the surface, a smallh1 causes a steeply increasing magnetization m(z)~z3/8 log z as the distance z increases away from the surface. By means of a phenomenological scaling analysis, this phenomenon can be related to the well-known logarithmic dependence of the surface magnetization m1 on h1. Our analysis provides a deeper understanding of the existing exact results on m(z) and relates the short-distance phenomena in d=2 to those in higher dimensions. Both the results of the scaling analysis and the exact analytic profiles are corroborated by Monte Carlo simulations.

Bibliography

Czerner, P., & Ritschel, U. (1997). Magnetization Profile in the D= 2 Semi-Infinite Ising Model and Crossover Between Ordinary and Normal Transition. International Journal of Modern Physics B, 11(17), 2075â2091.

Authors 2

Peter Czerner (first)
Uwe Ritschel (additional)

References 0 Referenced 16

None

Dates

Type	When
Created	23 years, 1 month ago (July 28, 2002, 3:09 p.m.)
Deposited	6 years ago (Aug. 7, 2019, 7:22 a.m.)
Indexed	1 year, 6 months ago (Feb. 7, 2024, 4:36 a.m.)
Issued	28 years, 1 month ago (July 10, 1997)
Published	28 years, 1 month ago (July 10, 1997)
Published Online	13 years, 7 months ago (Jan. 25, 2012)
Published Print	28 years, 1 month ago (July 10, 1997)

Funders 0

None

BibTeX

@article{Czerner_1997, title={Magnetization Profile in the D= 2 Semi-Infinite Ising Model and Crossover Between Ordinary and Normal Transition}, volume={11}, ISSN={1793-6578}, url={http://dx.doi.org/10.1142/s0217979297001076}, DOI={10.1142/s0217979297001076}, number={17}, journal={International Journal of Modern Physics B}, publisher={World Scientific Pub Co Pte Lt}, author={Czerner, Peter and Ritschel, Uwe}, year={1997}, month=jul, pages={2075–2091} }

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