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arXiv · 1207.3970

Sheared Ising models in three dimensions

Alfred Hucht·Sebastian Angst
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Abstract

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 T_c which depend on the direction of the shear normal. Using dimensional analysis, we determine the anisotropy exponent theta=2 as well as the correlation length exponents nu_parallel=1 and nu_perp=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.

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Alfred Hucht, Sebastian Angst. 2012-07-17. Sheared Ising models in three dimensions. https://doi.org/10.1209/0295-5075%2F100%2F20003

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