Tracer particles in two-dimensional elastic networks diffuse logarithmically slow

Research output: Contribution to journalArticle


Several experiments on tagged molecules or particles in living systems suggest that they move anomalously slow - their mean squared displacement (MSD) increase slower than linearly with time. Leading models aimed at understanding these experiments predict that the MSD grows as a power law with a growth exponent that is smaller than unity. However, in some experiments the growth is so slow (fitted exponent ∼0.1-0.2) that they hint towards other mechanisms at play. In this paper, we theoretically demonstrate how in-plane collective modes excited by thermal fluctuations in a two dimensional membrane lead to logarithmic time dependence for the the tracer particle's MSD.


External organisations
  • Umeå University
  • University of Southern Denmark
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Physical Sciences


  • diffusion, logarithmic dynamics, membrane, single-particle tracking
Original languageEnglish
Article number034001
JournalJournal of Physics A: Mathematical and Theoretical
Issue number3
Publication statusPublished - 2017 Jan 20
Publication categoryResearch