Finite-size scaling analysis of the anisotropic critical behavior of the two-dimensional Ising model under shear

Abstract

The critical behavior of the two-dimensional Ising Model with non-conserved order parameter in steady-state shear is studied by large-scale Monte Carlo simulations. Studying the structure factor S(qx,qy) in the disordered phase, the ratio of correlation length exponents νx/νy in the two lattice directions (x,y) is estimated, and the critical temperature is determined as a function of the shear rate dot gamma as Tc(dot gamma) − Tc(0) propto dot gammaphi with phi≈0.45. Critical exponents β≈0.37, γ≈1.1, ; ν⊥≈0.46, νpar≈1.38 are roughly compatible with anisotropic hyperscaling.