Oscillatory Force Autocorrelations in Equilibrium Odd-Diffusive Systems

Research output: Contribution to journalResearch articleContributedpeer-review


  • Erik Kalz - , University of Potsdam (Author)
  • Hidde Derk Vuijk - , Augsburg University (Author)
  • Jens Uwe Sommer - , Clusters of Excellence PoL: Physics of Life, Chair of Theory of Polymers at Interfaces, Leibniz Institute of Polymer Research Dresden, TUD Dresden University of Technology (Author)
  • Ralf Metzler - , University of Potsdam, Asia Pacific Center for Theoretical Physics (Author)
  • Abhinav Sharma - , Augsburg University, Leibniz Institute of Polymer Research Dresden (Author)


The force autocorrelation function (FACF), a concept of fundamental interest in statistical mechanics, encodes the effect of interactions on the dynamics of a tagged particle. In equilibrium, the FACF is believed to decay monotonically in time, which is a signature of slowing down of the dynamics of the tagged particle due to interactions. Here, we analytically show that in odd-diffusive systems, which are characterized by a diffusion tensor with antisymmetric elements, the FACF can become negative and even exhibit temporal oscillations. We also demonstrate that, despite the isotropy, the knowledge of FACF alone is not sufficient to describe the dynamics: the full autocorrelation tensor is required and contains an antisymmetric part. These unusual properties translate into enhanced dynamics of the tagged particle quantified via the self-diffusion coefficient that, remarkably, increases due to particle interactions.


Original languageEnglish
Article number057102
JournalPhysical review letters
Issue number5
Publication statusPublished - 2 Feb 2024

External IDs

PubMed 38364150


ASJC Scopus subject areas