Diffusive scaling for all moments of the Markov Anderson model
| Autor: | Musselman, C., Jeffrey Schenker |
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| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Scopus-Elsevier |
| DOI: | 10.48550/arxiv.1312.2603 |
| Popis: | We consider a tight-binding Schroedinger equation with time dependent diagonal noise, given as a function of a Markov process. This model was considered previously by Kang and Schenker (J. Stat. Phys., 134(5-6):1005, arXiv:0808.2784), who proved that the wave propagates diffusively. We revisit the proof of diffusion so as to obtain a uniform bound on exponential moments of the wave amplitude and a central limit theorem that implies, in particular, diffusive scaling for all position moments of the mean wave amplitude. Comment: 21 pages, 1 figure; Dedicated to Professor L. Pastur |
| Databáze: | OpenAIRE |
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