Correlated Site Bond Ensembles Statistical Equilibrium and Finite Size Effects

RAÚL H. LÓPEZ; ANA M. VIDALES; GIORGIO ZGRABLICH

LANGMUIR

American Chemical Society

Año: 2000 vol. 16 p. 3441 - 3445

0743-7463

This work presents a Monte Carlo analysis of the propagation of correlation strength in site-bond square lattices generated through the dual site-bond model (DSBM), where the values of the property assigned to sites and bonds are sampled from two uniform density distributions that may have some overlapping area with each other. Correlations appearwhena construction principle is established. Although this model has been extensively used inmanyphysical applications, such as adsorption and surface diffusion on heterogeneous surfaces and percolation and transport processes in porous media, a careful study of the way correlated topology is settled on through the system was lacking. The dependence of the relaxation time needed to reach equilibrium and of the minimum size of the network to be used is established for different correlation strengths, represented by the overlapping parameter ¿. A more accurate empirical equation, relating the characteristic correlation length l0, corresponding to the spatial correlation function, and ¿, is found, than the one used in former applications of the DSBM.-bond square lattices generated through the dual site-bond model (DSBM), where the values of the property assigned to sites and bonds are sampled from two uniform density distributions that may have some overlapping area with each other. Correlations appearwhena construction principle is established. Although this model has been extensively used inmanyphysical applications, such as adsorption and surface diffusion on heterogeneous surfaces and percolation and transport processes in porous media, a careful study of the way correlated topology is settled on through the system was lacking. The dependence of the relaxation time needed to reach equilibrium and of the minimum size of the network to be used is established for different correlation strengths, represented by the overlapping parameter ¿. A more accurate empirical equation, relating the characteristic correlation length l0, corresponding to the spatial correlation function, and ¿, is found, than the one used in former applications of the DSBM.