Source:http://linkedlifedata.com/resource/pubmed/id/18643647
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| Predicate | Object |
|---|---|
| rdf:type | |
| lifeskim:mentions | |
| pubmed:issue |
25
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| pubmed:dateCreated |
2008-7-22
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| pubmed:abstractText |
Most statistical theories of anomalous diffusion rely on ensemble-averaged quantities such as the mean squared displacement. Single molecule tracking measurements require, however, temporal averaging. We contrast the two approaches in the case of continuous-time random walks with a power-law distribution of waiting times psi(t) proportional to t{-1-alpha}, with 0<alpha<1, lacking the mean. We show that, contrary to what is expected, the temporal averaged mean squared displacement leads to a simple diffusive behavior with diffusion coefficients that strongly differ from one trajectory to another. This distribution of diffusion coefficients renders a system inhomogeneous: an ensemble of simple diffusers with different diffusion coefficients. Taking an ensemble average over these diffusion coefficients results in an effective diffusion coefficient K{eff} approximately T{alpha-1} which depends on the length of the trajectory T.
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| pubmed:language |
eng
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| pubmed:journal | |
| pubmed:status |
PubMed-not-MEDLINE
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| pubmed:month |
Jun
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| pubmed:issn |
0031-9007
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| pubmed:author | |
| pubmed:issnType |
Print
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| pubmed:day |
27
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| pubmed:volume |
100
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| pubmed:owner |
NLM
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| pubmed:authorsComplete |
Y
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| pubmed:pagination |
250602
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| pubmed:year |
2008
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| pubmed:articleTitle |
Nonergodicity mimics inhomogeneity in single particle tracking.
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| pubmed:affiliation |
School of Chemistry, Raymond & Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel Aviv 69978, Israel.
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| pubmed:publicationType |
Journal Article
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