Origin of stretched exponential relaxation for hopping-transport models
We propose a novel geometric approach to the description of the relaxation phenomena in complex condensed-matter systems. It is shown within a fairly general random site hopping model that the stretched exponential decay law, exp([-(t/tau)(beta)], originates from the simple and general geometric fea...
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| Veröffentlicht in: | Physical review letters 2003-10, Vol.91 (17), p.176602-176602, Article 176602 |
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| container_end_page | 176602 |
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| container_title | Physical review letters |
| container_volume | 91 |
| creator | Sturman, B Podivilov, E Gorkunov, M |
| description | We propose a novel geometric approach to the description of the relaxation phenomena in complex condensed-matter systems. It is shown within a fairly general random site hopping model that the stretched exponential decay law, exp([-(t/tau)(beta)], originates from the simple and general geometric features of a random distribution of transport and trapping sites in the 3D space. The value of the variable stretching index beta is determined by the localization radius of hopping electrons. The possibilities for generalization of the obtained results and interpretation of the relevant experimental data are discussed. |
| doi_str_mv | 10.1103/physrevlett.91.176602 |
| format | Article |
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| source | American Physical Society Journals |
| title | Origin of stretched exponential relaxation for hopping-transport models |
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