Aging and nonergodicity beyond the Khinchin theorem

DOI10.1073/pnas.1003693107zbMath1205.82113OpenAlexW2009354582WikidataQ34068039 ScholiaQ34068039MaRDI QIDQ3073991

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Publication date: 12 February 2011

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.1003693107

zbMATH Keywords

continuous time random walkanomalous diffusionirreversibilityergodicity breakingsingle particle trajectories

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Diffusion processes (60J60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Foundations of time-dependent statistical mechanics (82C03) Dynamic critical phenomena in statistical mechanics (82C27)

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Cites Work

• Why Irreversibility Is Not a Sufficient Condition for Ergodicity
• Models of traps and glass phenomenology
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Statistics of the occupation time of renewal processes
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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