Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-08-13
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
10.1103/PhysRevE.76.051106
We consider the reversible adsorption of dimers on a regular lattice, where adsorption occurs on a finite fraction of sites selected randomly. By comparing this system to the pure system where all sites are available for adsorption, we show that when the activity goes to infinity, there exists a mapping between this model and the pure system at the same density. By examining the susceptibilities, we demonstrate that there is no mapping at finite activity. However, when the site density is small or moderate, this mapping exists up to second order in site density. We also propose and evaluate approximate approaches that may be applied to systems where no analytic result is known.
Talbot John
Tarjus Gilles
Viot Pascal
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