English

Theory of diffusive fluctuations

High Energy Physics - Theory 2019-12-24 v3 Statistical Mechanics Strongly Correlated Electrons

Abstract

The recently developed effective field theory of fluctuations around thermal equilibrium is used to compute late-time correlation functions of conserved densities. Specializing to systems with a single conservation law, we find that the diffusive pole is shifted in the presence of non-linear hydrodynamic self-interactions, and that the density-density Green's function acquires a branch point half way to the diffusive pole, at frequency ω=i2Dk2\omega= -\frac{i}{2}Dk^2. We discuss the relevance of diffusive fluctuations for strongly correlated transport in condensed matter and cold atomic systems.

Keywords

Cite

@article{arxiv.1811.12540,
  title  = {Theory of diffusive fluctuations},
  author = {Xinyi Chen-Lin and Luca V. Delacrétaz and Sean A. Hartnoll},
  journal= {arXiv preprint arXiv:1811.12540},
  year   = {2019}
}

Comments

8+15 pages, 5 figures; v2: small correction to figure 2; v3: published version

R2 v1 2026-06-23T06:26:19.239Z