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Numerical approach to unbiased and driven generalized elastic model

  • From scaling arguments and numerical simulations, we investigate the properties of the generalized elastic model (GEM) that is used to describe various physical systems such as polymers, membranes, single-file systems, or rough interfaces. We compare analytical and numerical results for the subdiffusion exponent beta characterizing the growth of the mean squared displacement <(delta h)(2)> of the field h described by the GEM dynamic equation. We study the scaling properties of the qth order moments <vertical bar delta h vertical bar(q)> with time, finding that the interface fluctuations show no intermittent behavior. We also investigate the ergodic properties of the process h in terms of the ergodicity breaking parameter and the distribution of the time averaged mean squared displacement. Finally, we study numerically the driven GEM with a constant, localized perturbation and extract the characteristics of the average drift for a tagged probe.

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Metadaten
Author details:M. Ghasemi Nezhadhaghighi, Aleksei V. ChechkinORCiDGND, Ralf MetzlerORCiDGND
DOI:https://doi.org/10.1063/1.4858425
ISSN:0021-9606
ISSN:1089-7690
Title of parent work (English):The journal of chemical physics : bridges a gap between journals of physics and journals of chemistr
Publisher:American Institute of Physics
Place of publishing:Melville
Publication type:Article
Language:English
Year of first publication:2014
Publication year:2014
Release date:2017/03/27
Volume:140
Issue:2
Number of pages:9
Funding institution:University of Potsdam; German Academic Exchange Service [A/13/03073]; Academy of Finland
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer review:Referiert
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