Anomalous diffusive fluctuations from ballistic modes
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
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