Ordering in Ising models of parabolic shape |
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Authors: | Stefan Blawid Ingo Peschel |
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Affiliation: | (1) Fachbereich Physik, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, Germany;(2) Present address: Max-Planck-Institut für Physik komplexer Systeme, Dresden, Germany |
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Abstract: | The features of order in narrow systems are studied for isotropic square lattice Ising models with general parabolic boundaries. Using Monte Carlo methods, magnetization profiles are calculated which agree very well with the conformal results and scale properly with the geometrical length parameter. The variation of the tip magnetization with temperature is obtained and the predicted stretched exponential form in the critical region is confirmed. |
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Keywords: | 05.50+q 05.70.Fh 68.35.Rh |
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