We report a numerical simulation of the phase diagram of a simple model for membrane proteins constrained to move in a plane. In analogy with the corresponding three dimensional models, the liquid-gas transition becomes metastable as the range of attraction decreases. Spontaneous crystallization happens much more readily in the two dimensional models rather than in their three dimensional count...

The random quantum $q$-state clock and Potts models are studied in 2 3 dimensions. existence of Griffiths phases is tested the 2D case with $q=6$ by sampling integrated probability distribution local susceptibilities equivalent McCoy-Wu 3D classical modelswith Monte Carlo simulations. No phase found for model. In contrast, numerical evidences model given Finite Size effects analyzed. critical p...

The performance of water flooding can be investigated by using either detail numerical modeling or simulation, or simply through the analytical Buckley-Leverett (BL) model. The Buckley-Leverett analytical technique can be applied to one-dimensional homogeneous systems. In this paper, the impact of heterogeneity on water flooding performance and fractional flow curve is investigated. First, a ba...