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Bond percolation is studied for the three homogeneous two-dimensional lattices: square lattice (SL), triangular lattice … (TL) and honeycomb lattice (HL). An expanding cell technique is used to obtain percolation thresholds and other relevant … symmetric cells to get more points in the scaling analysis. Exact percolation functions are obtained for each size. Then, the …
Persistent link: https://www.econbiz.de/10011062924
Site and bond percolation of k-mers of different structures and forms deposited on 2-D regular lattices is studied. In … addition, the percolation threshold for percolating k-mers on a Bethe lattice is analytically obtained. By using finite …-size scaling theory, the analysis of the results is performed in order to determine the behavior of the percolation threshold which …
Persistent link: https://www.econbiz.de/10010590088
Percolation due to the simultaneous occupation of two neighboring bond sites, namely a bond dimer, is considered here … by means of the renormalization cell technique providing an analytic way to obtain results such as percolation threshold … finite size scaling to obtain tendencies towards the thermodynamic limit. It is observed that the percolation threshold is …
Persistent link: https://www.econbiz.de/10010744295
in three different types of percolation problems show that the random walker sees a developing Euclidean signature for …
Persistent link: https://www.econbiz.de/10010590450
Random walk simulations based on a molecular trajectory algorithm are performed on critical percolation clusters. The …
Persistent link: https://www.econbiz.de/10011060344
anisotropy. If the latter is constant within a non-vanishing region close to the percolation threshold, a single critical …
Persistent link: https://www.econbiz.de/10011063540
measured as a function of their apparent density. Different percolation thresholds at which the physical properties under study …
Persistent link: https://www.econbiz.de/10011064486
The localized monolayer adsorption of homonuclear dimers on heterogeneous surfaces with simple topographies is analyzed by combining theoretical modeling and Monte Carlo (MC) simulations. The heterogeneous surfaces are represented by lattices with two kinds of sites, the so-called bivariate...
Persistent link: https://www.econbiz.de/10011061281
We show that non-frustrated and frustrated ladders in a magnetic field can be systematically mapped onto an XXZ Heisenberg model in a longitudinal magnetic field in the limit where the rung coupling is the dominant one. This mapping is valid in the critical region where the magnetization goes...
Persistent link: https://www.econbiz.de/10010992809
In this work we study the existence of nontrivial solution for the following class of multivalued quasilinear problems <Equation ID="Equ51"> <EquationSource Format="TEX">$$\begin{aligned} \displaystyle -\text{ div } ( \phi (|\nabla u|) \nabla u) - b(u)u \in \lambda \partial F(x,u)\;\text{ in }\;\Omega , \quad u=0\; \text{ on }\;\partial \Omega...</equationsource></equation>
Persistent link: https://www.econbiz.de/10010994120