6533b856fe1ef96bd12b307f

RESEARCH PRODUCT

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

Peter VirnauKurt BinderJürgen HorbachDavid Winter

subject

PhysicsCondensed matter physicsCritical phenomenaMonte Carlo methodGeneral Physics and AstronomyISING MODELShear rateMONTE CARLO SIMULATIONSHEARHigh Energy Physics::ExperimentIsing modelStatistical physicsCRITICAL PHENOMENAAnisotropyStructure factorScalingCritical exponent

description

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 as Tc() − Tc(0) ∝ with ≈0.45. Critical exponents β≈0.37, γ≈1.1, ; ν⊥≈0.46, ν∥≈1.38 are roughly compatible with anisotropic hyperscaling.

https://doi.org/10.1209/0295-5075/91/60002