dorsal/arxiv
View SchemaInfinitely-fast diffusion in Single-File Systems
| Authors | s. V. Nedea, A. P. J. Jansen, J. J. Lukkien |
|---|---|
| Categories | |
| ArXiv ID | physics/0210122 |
| URL | https://arxiv.org/abs/physics/0210122 |
| DOI | 10.1103/PhysRevE.67.046707 |
Abstract
We have used Dynamic Monte Carlo (DMC) methods and analytical techniques to analyze Single-File Systems for which diffusion is infinitely-fast. We have simplified the Master Equation removing the fast reactions and we have introduced a DMC algorithm for infinitely-fast diffusion. The DMC method for fast diffusion give similar results as the standard DMC with high diffusion rates. We have investigated the influence of characteristic parameters, such as pipe length, adsorption, desorption and conversion rate constants on the steady-state properties of Single-File Systems with a reaction, looking at cases when all the sites are reactive and when only some of them are reactive. We find that the effect of fast diffusion on single-file properties of the system is absent even when diffusion is infinitely-fast. Diffusion is not important in these systems. Smaller systems are less reactive and the occupancy profiles for infinitely-long systems show an exponential behavior.
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"abstract": "We have used Dynamic Monte Carlo (DMC) methods and analytical techniques to\nanalyze Single-File Systems for which diffusion is infinitely-fast. We have\nsimplified the Master Equation removing the fast reactions and we have\nintroduced a DMC algorithm for infinitely-fast diffusion. The DMC method for\nfast diffusion give similar results as the standard DMC with high diffusion\nrates. We have investigated the influence of characteristic parameters, such as\npipe length, adsorption, desorption and conversion rate constants on the\nsteady-state properties of Single-File Systems with a reaction, looking at\ncases when all the sites are reactive and when only some of them are reactive.\nWe find that the effect of fast diffusion on single-file properties of the\nsystem is absent even when diffusion is infinitely-fast. Diffusion is not\nimportant in these systems. Smaller systems are less reactive and the occupancy\nprofiles for infinitely-long systems show an exponential behavior.",
"arxiv_id": "physics/0210122",
"authors": [
"s. V. Nedea",
"A. P. J. Jansen",
"J. J. Lukkien"
],
"categories": [
"physics.chem-ph"
],
"doi": "10.1103/PhysRevE.67.046707",
"title": "Infinitely-fast diffusion in Single-File Systems",
"url": "https://arxiv.org/abs/physics/0210122"
},
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