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Complementary mode analyses between sub- and superdiffusion

Takuya Saito1,* and Takahiro Sakaue2,3,†

  • 1Earthquake Research Institute, University of Tokyo, Tokyo 113-0032, Japan
  • 2Department of Physics, Kyushu University, Fukuoka 819-0395, Japan
  • 3JST, PRESTO, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan

  • *tsaito@eri.u-tokyo.ac.jp
  • †sakaue@phys.kyushu-u.ac.jp
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Phys. Rev. E 95, 042143 – Published 28 April, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.042143

Abstract

Several subdiffusive stochastic processes in nature, e.g., the motion of a tagged monomer in polymers, the height fluctuation of interfaces, particle dynamics in single-file diffusion, etc., can be described rigorously or approximately by the superposition of various modes whose relaxation times are broadly distributed. In this paper, we propose a mode analysis generating superdiffusion, which is paired with or complementary to subdiffusion. The key point in our discussion lies in the identification of a pair of conjugated variables, which undergo sub- and superdiffusion, respectively. We provide a simple interpretation for the sub- and superdiffusion duality for these variables using the language of polymer physics. The analysis also suggests the usefulness of looking at the force fluctuation in experiments, where a polymer is driven by a constant velocity.

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Phys. Rev. E 95, 042143– Published 28 April, 2017
  • Received 15 December 2016
Article part of CHORUS

©2017 American Physical Society

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