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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: | https://arxiv.org/abs/2304.03236v2 (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 |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
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
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)