Directed Percolation on a 2D Triangular Lattice
نویسنده
چکیده
We study directed percolation on a 2D triangular lattice where the forward direction is perpendicular to one of the lattice axes. In addition to the geometrical description, an equivalent dynamic description of the model is presented. Simulations are performed based on an algorithm from the dynamic description to obtain the critical probability of bond occupation as pc ≈ 0.522. A mean field theory is used to calculate the critical exponents of the transition; and the upper critical dimension is determined by the Ginzburg criterion. We also developed a position-space renormalization group scheme to investigate the critical point.
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تاریخ انتشار 2010