Thermal percolation for interacting monomers adsorbed on square lattices

Article

Authorship

GIMENEZ, MARIA CECILIA ; NIETO QUINTAS, FELIX DANIEL ; RAMIREZ PASTOR, ANTONIO JOSE

Date

2005

Publishing House and Editing Place

INSTITUTE OF PHYSICS PUBLISHING

Magazine

JOURNAL OF PHYSICS. A - MATHEMATICAL AND GENERAL, vol. 38 (pp. 3253-3264) INSTITUTE OF PHYSICS PUBLISHING

Summary Information provided by the agent in SIGEVA

In this paper the percolation of monomers on a square lattice is studied as the particles interact with either repulsive or attractive energies. By means of a finite-size scaling analysis, the critical exponents and the scaling collapsing of the fraction of percolating lattice are found. A phase diagram separating a percolating from a non-percolating region is determined. The main features of the phase diagram are discussed in terms of simple considerations related to the interactions present i... In this paper the percolation of monomers on a square lattice is studied as the particles interact with either repulsive or attractive energies. By means of a finite-size scaling analysis, the critical exponents and the scaling collapsing of the fraction of percolating lattice are found. A phase diagram separating a percolating from a non-percolating region is determined. The main features of the phase diagram are discussed in terms of simple considerations related to the interactions present in the problem. The influence of the phase transitions occurring in the system is reflected by the phase diagram. In addition, a scaling treatment maintaining constant the surface coverage and varying the temperature of the system is performed. In all the considered cases, the universality class of the model is found to be the same as for the random percolation model.