Sheared Ising models in three dimensions
Fakultät für Physik, Universität Duisburg-Essen - D-47048 Duisburg, Germany, EU
Received: 17 July 2012
Accepted: 22 September 2012
The nonequilibrium phase transition in sheared three-dimensional Ising models is investigated using Monte Carlo simulations in two different geometries corresponding to different shear normals. We demonstrate that in the high shear limit both systems undergo a strongly anisotropic phase transition at exactly known critical temperatures Tc which depend on the direction of the shear normal. Using dimensional analysis, we determine the anisotropy exponent θ = 2 as well as the correlation length exponents ν∥ = 1 and ν⊥ = 1/2. These results are verified by simulations, though considerable corrections to scaling are found. The correlation functions perpendicular to the shear direction can be calculated exactly and show Ornstein-Zernike behavior.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 68.35.Af – Atomic scale friction / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.)
© EPLA, 2012