Change search
ReferencesLink to record
Permanent link

Direct link
Microscopic Origin of the Logarithmic Time Evolution of Aging Processes in Complex Systems
MEMPHYS, Department of Physics, Chemistry and Pharmacy, University of Southern Denmark, Odense M, Denmark.
Umeå University, Faculty of Science and Technology, Department of Physics. Department of Physics and Center for Soft Matter Research, New York University, 4 Washington Place, New York, New York 10003, USA. (Icelab)
Department of Physics, Tampere University of Technology, Tampere, Finland and Institute for Physics and Astronomy, University of Potsdam, Potsdam-Golm, Germany. (Institute for Physics and Astronomy)
Lund University. (Department of Astronomy and Theoretical Physics)
2013 (English)In: Physical Review Letters, ISSN 0031-9007, Vol. 110, no 20, 208301-208306 p.Article in journal, Letter (Refereed) Published
Abstract [en]

There exists compelling experimental evidence in numerous systems for logarithmically slow time evolution, yet its full theoretical understanding remains elusive. We here introduce and study a generic transition process in complex systems, based on nonrenewal, aging waiting times. Each state n of the system follows a local clock initiated at t=0. The random time τ between clock ticks follows the waiting time density ψ(τ). Transitions between states occur only at local clock ticks and are hence triggered by the local forward waiting time, rather than by ψ(τ). For power-law formsψ(τ)≃τ-1-α (0<α<1) we obtain a logarithmic time evolution of the state number ⟨n(t)⟩≃log⁡(t/t0), while for α>2 the process becomes normal in the sense that ⟨n(t)⟩≃t. In the intermediate range 1<α<2 we find the power-law growth ⟨n(t)⟩≃tα-1. Our model provides a universal description for transition dynamics between aging and nonaging states.

Place, publisher, year, edition, pages
American Physical Society , 2013. Vol. 110, no 20, 208301-208306 p.
National Category
Condensed Matter Physics
URN: urn:nbn:se:umu:diva-71381DOI: 10.1103/PhysRevLett.110.208301OAI: diva2:623562
Available from: 2013-05-28 Created: 2013-05-28 Last updated: 2014-01-20Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Lizana, Ludvig
By organisation
Department of Physics
In the same journal
Physical Review Letters
Condensed Matter Physics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 52 hits
ReferencesLink to record
Permanent link

Direct link