Anomalous transport in disordered dynamical systems |
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| Affiliation: | 1. Faculdade de Física, Universidade Federal do Pará, 66075-110 Belém, Brazil;2. Programa de Ciências Exatas, Universidade Federal do Oeste do Pará, 68040-470 Santarém, Brazil;3. Campus Salinópolis, Universidade Federal do Pará, 68721-000, Salinópolis, Brazil;4. Campus Parauapebas, Universidade Federal Rural da Amazônia, 68515-000 Parauapebas, Brazil;5. Instituto de Estudos Costeiros, Universidade Federal do Pará, 68600-000 Bragança, Brazil;6. Centro de Física, Universidade do Minho, P-4710-057 Braga, Portugal;7. Instituto de Física, Universidade Federal do Rio de Janeiro, 21941-972 Rio de Janeiro, Brazil;1. New York University Abu Dhabi, United Arab Emirates;2. VU University, Amsterdam, The Netherlands;3. Università di Firenze, Italy;4. Center for Cosmology and Particle Physics, Department of Physics, New York University, United States;1. Faculdade de Física, Universidade Federal do Pará, 66075-110 Belém, Brazil;2. Programa de Ciências Exatas, Universidade Federal do Oeste do Pará, 68040-470 Santarém, Brazil;3. Instituto de Física, Universidade Federal do Rio de Janeiro, 21941-972 Rio de Janeiro, Brazil;1. School of Astronomy and Space Science, Sun Yat-Sen University, Guangzhou 510275, China;2. School of Physics, Nankai University, Tianjin 300071, China |
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| Abstract: | We consider simple extended dynamical systems with quenched disorder. It is shown that these systems exhibit anomalous transport properties such as the total suppression of chaotic diffusion and anomalous drift. The relation to random walks in random environments, in particular to the Sinai model, explains also the occurrence of ageing in such dynamical systems. Anomalous transport is explained by spectral properties of corresponding propagators and by escape rates in these systems. For special cases we provide a connection to quantum mechanical tight-binding models and Anderson localization. New classes of anomalous transport behavior with clear deviations from the behavior of Sinai type are found for generalizations of these models. |
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