Monte Carlo study of the magnetization distribution in semiinfinite systems upon phase transitions
Abstract
The dependence of magnetization on the distance to the surface in a semiinfinite Ising model with a flat free surface has been investigated. The behavior of the magnetization at different points of the phase diagram of the substance has been studied both near the lines of the secondorder phase transitions and near the tricritical point. It has been shown that, at values of the exchange integral at the surface that exceed the exchange integrals in the bulk, a decrease in the magnetization with distance from the surface according to a power law is observed. If the exchange integral at the surface is lower than that in the bulk of the system, then the magnetization grows with distance from the surface of the system, also according to a power law.
 Publication:

Physics of Metals and Metallography
 Pub Date:
 September 2014
 DOI:
 10.1134/S0031918X14090026
 Bibcode:
 2014PMM...115..843B
 Keywords:

 Ising model;
 critical phenomena;
 tricritical point;
 semiinfinite systems