dorsal/arxiv
View SchemaTransient behavior in Single-File Systems
| Authors | S. V. Nedea, A. P. J. Jansen, J. J. Lukkien, P. A. J. Hilbers |
|---|---|
| Categories | |
| ArXiv ID | physics/0207087 |
| URL | https://arxiv.org/abs/physics/0207087 |
| DOI | 10.1103/PhysRevE.66.066705 |
Abstract
We have used Monte-Carlo methods and analytical techniques to investigate the influence of the characteristics, such as pipe length, diffusion, adsorption, desorption and reaction rates on the transient properties of Single-File Systems. The transient or the relaxation regime is the period in which the system is evolving to equilibrium. We have studied the system when all the sites are reactive and when only some of them are reactive. Comparisons between Mean-Field predictions, Cluster Approximation predictions, and Monte Carlo simulations for the relaxation time of the system are shown. We outline the cases where Mean-Field analysis gives good results compared to Dynamic Monte-Carlo results. For some specific cases we can analytically derive the relaxation time. Occupancy profiles for different distribution of the sites both for Mean-Field and simulations are compared. Different results for slow and fast reaction systems and different distribution of reactive sites are discussed.
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"abstract": "We have used Monte-Carlo methods and analytical techniques to investigate the\ninfluence of the characteristics, such as pipe length, diffusion, adsorption,\ndesorption and reaction rates on the transient properties of Single-File\nSystems. The transient or the relaxation regime is the period in which the\nsystem is evolving to equilibrium. We have studied the system when all the\nsites are reactive and when only some of them are reactive. Comparisons between\nMean-Field predictions, Cluster Approximation predictions, and Monte Carlo\nsimulations for the relaxation time of the system are shown. We outline the\ncases where Mean-Field analysis gives good results compared to Dynamic\nMonte-Carlo results. For some specific cases we can analytically derive the\nrelaxation time. Occupancy profiles for different distribution of the sites\nboth for Mean-Field and simulations are compared. Different results for slow\nand fast reaction systems and different distribution of reactive sites are\ndiscussed.",
"arxiv_id": "physics/0207087",
"authors": [
"S. V. Nedea",
"A. P. J. Jansen",
"J. J. Lukkien",
"P. A. J. Hilbers"
],
"categories": [
"physics.chem-ph",
"physics.comp-ph"
],
"doi": "10.1103/PhysRevE.66.066705",
"title": "Transient behavior in Single-File Systems",
"url": "https://arxiv.org/abs/physics/0207087"
},
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