dorsal/arxiv
View SchemaThe Equilibrium Distribution of Gas Molecules Adsorbed on an Active Surface
| Authors | Stephen L. Adler, Indrajit Mitra |
|---|---|
| Categories | |
| ArXiv ID | physics/0003002 |
| URL | https://arxiv.org/abs/physics/0003002 |
| DOI | 10.1103/PhysRevE.62.4386 |
Abstract
We evaluate the exact equilibrium distribution of gas molecules adsorbed on an active surface with an infinite number of attachment sites. Our result is a Poisson distribution having mean $X = {\mu P P_s \over P_e}$, with $\mu$ the mean gas density, $ P_s$ the sticking probability, $P_e$ the evaporation probability in a time interval $\tau$, and $P$ Smoluchowski's exit probability in time interval $\tau$ for the surface in question. We then solve for the case of a finite number of attachment sites using the mean field approximation, recovering in this case the Langmuir isotherm.
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"abstract": "We evaluate the exact equilibrium distribution of gas molecules adsorbed on\nan active surface with an infinite number of attachment sites. Our result is a\nPoisson distribution having mean $X = {\\mu P P_s \\over P_e}$, with $\\mu$ the\nmean gas density, $ P_s$ the sticking probability, $P_e$ the evaporation\nprobability in a time interval $\\tau$, and $P$ Smoluchowski\u0027s exit probability\nin time interval $\\tau$ for the surface in question. We then solve for the case\nof a finite number of attachment sites using the mean field approximation,\nrecovering in this case the Langmuir isotherm.",
"arxiv_id": "physics/0003002",
"authors": [
"Stephen L. Adler",
"Indrajit Mitra"
],
"categories": [
"physics.data-an"
],
"doi": "10.1103/PhysRevE.62.4386",
"title": "The Equilibrium Distribution of Gas Molecules Adsorbed on an Active Surface",
"url": "https://arxiv.org/abs/physics/0003002"
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