# Study of the phase diagram of evaporation-condensation systems with a Histogram Reweighting adaptation method

## TL;DR

This paper applies an adapted Histogram Reweighting method with Monte Carlo simulations to accurately determine the critical points and phase diagrams of adsorption systems, notably improving results for dimer models.

## Contribution

It introduces an enhanced Histogram Reweighting adaptation for phase diagram analysis, providing more precise critical point determination for dimer systems with attractive interactions.

## Key findings

- Improved critical point estimates for dimer systems.
- More accurate phase diagrams for monomer and dimer adsorption.
- Enhanced adsorption isotherm and phase diagram data.

## Abstract

The critical point of the condensation transition for linear molecules adsorbed on square lattices, was studied by using an adaptation of the Histogram Reweighting technique. The results were obtained by means of grand canonical Monte Carlo simulations within the lattice gas model, along with finite size scaling using the fourth order Binder cumulant. The Method was tested in a system of interacting monomers in which the critical point can be determined exactly. The application of this method to the determination of the critical point in dimer systems with attractive interactions, gave better results than the previous reported studies to the best knowledge of the authors. In addition, the adsorption isotherms at different temperatures, as well as the phase diagrams for monomer and dimer systems were obtained, achieving significant improvements in the phase diagram for dimers.