We study diffusion on a periodic billiard table with an infinite horizon in the limit of narrow corridors. An effective trapping mechanism emerges according to which the process can be modeled by a Levy walk combining exponentially distributed trapping times with free propagation along paths whose precise probabilities we compute. This description yields an approximation of the mean squared displacement of infinite-horizon billiards in terms of two transport coefficients, which generalizes to this anomalous regime the Machta-Zwanzig approximation of normal diffusion in finite-horizon billiards
Cristadoro, G., Gilbert, T., Lenci, M., & Sanders, D. (2014). Machta-Zwanzig regime of anomalous diffusion in infinite-horizon billiards. PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, 90(5), 050102-1-050102-5 [10.1103/PhysRevE.90.050102].
Citazione: | Cristadoro, G., Gilbert, T., Lenci, M., & Sanders, D. (2014). Machta-Zwanzig regime of anomalous diffusion in infinite-horizon billiards. PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, 90(5), 050102-1-050102-5 [10.1103/PhysRevE.90.050102]. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Presenza di un coautore afferente ad Istituzioni straniere: | Si | |
Titolo: | Machta-Zwanzig regime of anomalous diffusion in infinite-horizon billiards | |
Autori: | Cristadoro, G; Gilbert, T; Lenci, M; Sanders, D | |
Autori: | ||
Data di pubblicazione: | 2014 | |
Lingua: | English | |
Rivista: | PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1103/PhysRevE.90.050102 | |
Appare nelle tipologie: | 01 - Articolo su rivista |
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