| Issue |
EPL
Volume 91, Number 6, September 2010
|
|
|---|---|---|
| Article Number | 60002 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/91/60002 | |
| Published online | 12 October 2010 | |
Finite-size scaling analysis of the anisotropic critical behavior of the two-dimensional Ising model under shear
1
Institut für Physik, Johannes Gutenberg-Universität Mainz - Staudinger Weg 7, D-55099 Mainz, Germany
2
Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt (DLR) 51170 Köln, Germany
Received:
13
July
2010
Accepted:
8
September
2010
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 
with φ≈0.45. Critical exponents β≈0.37, γ≈1.1, ; ν⊥≈0.46, ν∥≈1.38 are roughly compatible with anisotropic hyperscaling.
PACS: 05.70.Jk – Critical point phenomena / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 05.10.Ln – Monte Carlo methods
© EPLA, 2010
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