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Underdamped scaled Brownian motion: (non-)existence of the overdamped limit in anomalous diffusion

It is quite generally assumed that the overdamped Langevin equation provides a quantitative description of the dynamics of a classical Brownian particle in the long time limit. We establish and investigate a paradigm anomalous diffusion process governed by an underdamped Langevin equation with an ex...

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Detalles Bibliográficos
Autores principales: Bodrova, Anna S., Chechkin, Aleksei V., Cherstvy, Andrey G., Safdari, Hadiseh, Sokolov, Igor M., Metzler, Ralf
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4962320/
https://www.ncbi.nlm.nih.gov/pubmed/27462008
http://dx.doi.org/10.1038/srep30520