The origin of diffusion: the case of non-chaotic systems

DOI10.1016/S0167-2789(03)00051-4zbMath1050.82035arXivnlin/0210049MaRDI QIDQ1566249

Diego del-Castillo-Negrete, Fabio Cecconi, Angelo Vulpiani, Massimo Falcioni

Publication date: 1 June 2003

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0210049

zbMATH Keywords

quasi-periodic forcing1D map modelsrandom quenched discontinuities

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical aspects of statistical mechanics (37A60)

Related Items (7)

Diffusive transport in highly corrugated channels ⋮ Brownian motion in Minkowski space ⋮ A simple non-chaotic map generating subdiffusive, diffusive, and superdiffusive dynamics ⋮ Role of Chaos for the Validity of Statistical Mechanics Laws: Diffusion and Conduction ⋮ Equivalence of position–position auto-correlations in the Slicer Map and the Lévy–Lorentz gas ⋮ Diffusion as a result of transition in behavior of deterministic maps ⋮ Role of ergodicity in the transient fluctuation relation and a new relation for a dissipative non-chaotic map

Cites Work

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• Chaos, Scattering and Statistical Mechanics
• Understanding deterministic diffusion by correlated random walks
• Transport properties, Lyapunov exponents, and entropy per unit time
• The Limiting Behavior of a One-Dimensional Random Walk in a Random Medium
• An Introduction to Chaos in Nonequilibrium Statistical Mechanics
• Weak mixing and anomalous kinetics along filamented surfaces
• Microscopic chaos and diffusion

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