SciPost logo

SciPost Submission Page

Nonlinear Response in Diffusive Systems

by Luca V. Delacretaz, Ruchira Mishra

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Luca Delacrétaz · Ruchira Mishra
Submission information
Preprint Link:  (pdf)
Date accepted: 2024-02-05
Date submitted: 2024-01-25 15:37
Submitted by: Delacrétaz, Luca
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • High-Energy Physics - Theory
Approaches: Theoretical, Computational


Nonintegrable systems thermalize, leading to the emergence of fluctuating hydrodynamics. Typically, this hydrodynamics is diffusive. We use the effective field theory (EFT) of diffusion to compute higher-point functions of conserved densities. We uncover a simple scaling behavior of correlators at late times, and, focusing on three and four-point functions, derive the asymptotically exact universal scaling functions that characterize nonlinear response in diffusive systems. This allows for precision tests of thermalization beyond linear response in quantum and classical many-body systems. We confirm our predictions in a classical lattice gas.

Author comments upon resubmission

We thank both referees for their detailed comments, which we address in our replies. Following their suggestions, we have made changes to the manuscript listed below.

List of changes

- Added a several clarifications concerning detailed balance in Appendix B.

- Typos fixed, in particular in Eqs. (20), (21).

- Added coordinate (0,0) in Eq. (24) to avoid confusion.

- References added

Published as SciPost Phys. 16, 047 (2024)

Login to report or comment