Τίτλος:
Critical behavior of the three-dimensional Ising model with anisotropic bond randomness at the ferromagnetic-paramagnetic transition line
Γλώσσες Τεκμηρίου:
Αγγλικά
Περίληψη:
We study the ±J three-dimensional (3D) Ising model with a spatially uniaxial anisotropic bond randomness on the simple cubic lattice. The ±J random exchange is applied on the xy planes, whereas, in the z direction, only a ferromagnetic exchange is used. After sketching the phase diagram and comparing it with the corresponding isotropic case, the system is studied at the ferromagnetic-paramagnetic transition line using parallel tempering and a convenient concentration of antiferromagnetic bonds (pz=0;p xy=0.176). The numerical data clearly point out a second-order ferromagnetic-paramagnetic phase transition belonging in the same universality class with the 3D random Ising model. The smooth finite-size behavior of the effective exponents, describing the peaks of the logarithmic derivatives of the order parameter, provides an accurate estimate of the critical exponent 1/ν=1.463(3), and a collapse analysis of magnetization data gives an estimate of β/ν=0.516(7). These results are in agreement with previous papers and, in particular, with those of the isotropic ±J three-dimensional Ising model at the ferromagnetic-paramagnetic transition line, indicating the irrelevance of the introduced anisotropy. © 2013 American Physical Society.
Συγγραφείς:
Papakonstantinou, T.
Malakis, A.
Περιοδικό:
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
Λέξεις-κλειδιά:
Antiferromagnetic bonds; Bond randomness; Collapse analysis; Critical behavior; Critical exponent; Ferromagnetic exchange; Ferromagnetic-paramagnetic phase transition; Ferromagnetic-paramagnetic transitions; Logarithmic derivatives; Magnetization data; Numerical data; Order parameter; Parallel tempering; Second orders; Simple-cubic lattices; Three-dimensional Ising model; Universality class; Z-directions, Anisotropy; Ising model; Paramagnetism; Phase diagrams; Random processes; Three dimensional computer graphics, Three dimensional, anisotropy; article; computer simulation; magnetic field; statistical model, Anisotropy; Computer Simulation; Magnetic Fields; Models, Statistical
DOI:
10.1103/PhysRevE.87.012132
