Physica status solidi. B, Basic research vol:243 issue:1 pages:335-338
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.