Dissociative Adsorption: A Solvable Model

TL;DR

This paper introduces an exactly solvable model of dissociative adsorption with an unbounded dissociation range, extending previous models and providing analytical solutions for complex dynamical systems.

Contribution

It presents a modified one-dimensional hot-dimer deposition model with an unbounded dissociation range and solves the related dynamical equations exactly.

Findings

Exact solutions for the modified model's dynamical equations

Introduction of a related k-mer dissociation model with analytical quadrature solution

Extension of previous models to unbounded dissociation ranges

Abstract

A model of "hot"-dimer deposition in one dimension, introduced by Pereyra and Albano, is modified to have an unbounded dissociation range. The resulting dynamical equations are solved exactly. A related k-mer dissociation model is also introduced and its solution obtained as a quadrature.