Anomalous diffusive fluctuations from ballistic modes

Statistical Physics and Complexity Group meeting

Anomalous diffusive fluctuations from ballistic modes

  • Event time: 3:00pm until 4:00pm
  • Event date: 4th February 2025
  • Speaker: Ewan McCulloch (Princeton University)
  • Location: Online - see email.

Event details

In standard diffusive systems, the conserved charge in different regions experience uncorrelated noise and fluctuations are conventional -- the cumulants of charge transfer all scale as $t^{1/2}$. Recently, however, it was realized that diffusion can also be anomalous, with fluctuations remaining non-Gaussian at all times. Although this was initially observed in integrable systems, we argue that it has a purely hydrodynamic origin, resulting from the coexistence of ballistic and diffusive modes. In quasi-1D setting, the correlated noise from the ballistic modes generically leads to anomalous full counting statistics for the charge mode. We present numerical evidence for a two-component continuum fluid and in asymmetric exclusion processes.

Event resources