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On the possibility of nonuniversal behavior in the 3D Ashkin–Teller model
Author(s) -
Musiał Grzegorz,
Rogiers Jos
Publication year - 2006
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200562438
Subject(s) - ising model , monte carlo method , renormalization group , scaling , statistical physics , universality (dynamical systems) , critical exponent , exponent , phase transition , condensed matter physics , physics , magnetization , lattice (music) , mathematics , quantum mechanics , statistics , geometry , acoustics , linguistics , philosophy , magnetic field
The Monte Carlo simulations in the 3D Ashkin–Teller model on a cubic lattice are performed. The study is undertaken in the region where the universality class of the phase transitions has not been unambigously resolved yet. Using the finite‐size scaling relation between the magnetization, the temperature and the size of the system, the method of calculation of the critical exponent y h is proposed. Our preliminary results obtained for y h suggest a nonuniversal behavior, similarly as it was observed in the 2D case. Its value seems to change continuously in some interval approaching the Ising value near to all the tricritical points except one. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)