| Deriving time-dependent diffusion and relaxation rate in porous systems using eigenfunctions of the Laplace operator. | |
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MedLine Citation:
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PMID: 19796974 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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Porous systems are investigated using eigendecomposition of the Laplace matrix. Three parameters; tortuosity, surface-to-pore volume ratio and relaxation rate are derived from the eigenvalue spectrum of the Laplace matrix and connected to the parameters in the Pad?? approximation, an expression often used to describe the time-dependent diffusion coefficient in porous systems. The Pad?? length is identified for systems with large pore to connector volume ratio. The results are compared with simulations. |
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Authors:
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Matias Nordin; Martin Nilsson Jacobi; Magnus Nyd??n |
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Publication Detail:
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Type: Journal Article Date: 2009-09-11 |
Journal Detail:
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Title: Journal of magnetic resonance (San Diego, Calif. : 1997) Volume: 201 ISSN: 1096-0856 ISO Abbreviation: J. Magn. Reson. Publication Date: 2009 Dec |
Date Detail:
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Created Date: 2009-11-09 Completed Date: 2010-02-02 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 9707935 Medline TA: J Magn Reson Country: United States |
Other Details:
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Languages: eng Pagination: 205-11 Citation Subset: IM |
Affiliation:
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Applied Surface Chemistry, Department of Chemical and Biological Engineering, Chalmers University of Technology, 412 96 Gothenburg, Sweden. matias@chalmers.se |
Export Citation:
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| MeSH Terms | |
Descriptor/Qualifier:
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Algorithms* Biopolymers / chemistry* Computer Simulation Diffusion Gases / chemistry* Magnetic Resonance Spectroscopy / methods* Models, Chemical* Porosity |
| Chemical | |
Reg. No./Substance:
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0/Biopolymers; 0/Gases |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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