Ageing effects in ultraslow continuous time random walks

  • In ageing systems physical observables explicitly depend on the time span elapsing between the original initiation of the system and the actual start of the recording of the particle motion. We here study the signatures of ageing in the framework of ultraslow continuous time random walk processes with super-heavy tailed waiting time densities. We derive the density for the forward or recurrent waiting time of the motion as function of the ageing time, generalise the Montroll-Weiss equation for this process, and analyse the ageing behaviour of the ensemble and time averaged mean squared displacements.

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Author:Aleksei V. Chechkin, Holger Kantz, Ralf MetzlerORCiD
Parent Title (English):The European physical journal : B, Condensed matter and complex systems
Place of publication:New York
Document Type:Article
Year of first Publication:2017
Year of Completion:2017
Release Date:2020/04/20
Funder:Academy of Finland within Finland Distinguished Professorship programme; Deutsche Forschungsgemeinschaft [ME 1535/6-1]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert