Dynamics of annealed systems under external fields: CTRW and the fractional Fokker-Planck equations

2001/03/22 by Igor M. Sokolov, I. M. Sokolov, A. Blumen +1 · 1 citation
Decision Sciences · Mathematics · Physics and Astronomy · #Fractional Differential Equations Solutions #Probabilistic and Robust Engineering Design #cond-mat.dis-nn #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1209/epl/i2001-00503-6

arxiv created 2001/03/22 · openalex publication_date 2001/10/01 · arxiv updated 2009/11/30 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/04

Abstract

We consider the linear response of a system modelled by continuous-time random walks (CTRW) to an external field pulse of rectangular shape. We calculate the corresponding response function explicitly and show that it exhibits aging, i.e. that it is not translationally invariant in the time domain. This result differs from that of systems which behave according to fractional Fokker-Planck equations.

Citations

• Anomalous transit-time dispersion in amorphous solids
• From continuous time random walks to the fractional Fokker-Planck equation
• The random walk's guide to anomalous diffusion: a fractional dynamics approach

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