Stationary Coverage of a Stochastic Adsorption-Desorption Process with Diffusional Relaxation
J. Ricardo G. de Mendon\c{c}a (Universidade Federal de S\~ao Carlos), and M\'ario J. de Oliveira (Universidade de S\~ao Paulo)
TL;DR
This paper derives a simple analytical expression for the stationary coverage in a stochastic dimer adsorption-desorption process with diffusional relaxation, using an ansatz and global balance hypothesis, and compares it to exact results.
Contribution
It introduces a straightforward ansatz-based method to approximate the stationary distribution in a complex adsorption-desorption model, enhancing understanding of its validity.
Findings
Derived a simple formula for stationary coverage
Validated the ansatz against exact results
Provided insights into the model's global balance hypothesis
Abstract
We show that it is possible to derive the stationary coverage of an adsorption-desorption process of dimers with diffusional relaxation with a very simple ansatz for the stationary distribution of the process supplemented by a hypothesis of global balance. Our approach is contrasted to the exact result and we seek to understand its validity within an instance of the model.
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