 Anomalous decay of linear and quadratic statesR.K. Singh Physica A: Statistical Mechanics and its Applications, 2020, vol. 545, issue C Abstract: A study about subdiffusive escape to an absorbing barrier in linear and quadratic potentials is presented. A comparison is made between the mechanisms of the generalized Langevin equation (GLE) and the fractional Fokker–Planck equation (FFPE), in terms of the decay properties of the survival probability in a given region of interest. We find that the asymptotic decay of the survival probability for the case of FFPE is slower (power-law) as compared to that of the GLE (stretched-exponential or exponential). This observation is independent of the details of the underlying potential in which the motion is taking place. As a consequence, the qualitative difference in the escape behavior can be employed as an experimental test to distinguish between the two mechanisms of subdiffusion. This is particularly important in situations where individual trajectories are unavailable. Keywords: Anomalous diffusion; Generalized Langevin equation; Fractional Fokker–Planck equation; Survival probability; Transport properties (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119318862 DOI: 10.1016/j.physa.2019.123374 Access Statistics for this article Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis More articles in Physica A: Statistical Mechanics and its Applications from Elsevier |
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