Nonlinear response in diffusive systems

Article Article scientifique Article Nonlinear response in diffusive systems eng 2024-02-12 2024-02-12 author Delacretaz Luca Université de Genève 402669 author Mishra Ruchira 1-16 47 10.21468/scipostphys.16.2.047 2542-4653 https://scipost.org/10.21468/SciPostPhys.16.2.047 <p>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.</p> Dewey 500.2 37 Département de physique théorique 133 false SciPost physics 16 2 ea6ea411-a542-478f-b5b9-1e355b05c849 Article (Published version) Public Article_scientifique_from_unpaywall.pdf 310650 application/pdf CC BY-4.0 29620a0b63fd48a1c51fea2e9b97296ef765c2e1cd6b5d6c78e2a6e9aa049429 openAccess Faculté des sciences / Section de physique / Département de physique théorique

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Nonlinear response in diffusive systems	SciPost physics			2024	42	134

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Delacretaz, Luca