# Diffusion in generalized hydrodynamics and quasiparticle scattering

@article{Nardis2019DiffusionIG, title={Diffusion in generalized hydrodynamics and quasiparticle scattering}, author={Jacopo de Nardis and Denis Bernard and Benjamin Doyon}, journal={SciPost Physics}, year={2019} }

We extend beyond the Euler scales the hydrodynamic theory for quantum
and classical integrable models developed in recent years, accounting
for diffusive dynamics and local entropy production. We review how the
diffusive scale can be reached via a gradient expansion of the
expectation values of the conserved fields and how the coefficients of
the expansion can be computed via integrated steady-state two-point
correlation functions, emphasising that {\mathcal PT}𝒫T-symmetry
can fully fix the…

## 91 Citations

Diffusive hydrodynamics of inhomogenous Hamiltonians

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We derive a large-scale hydrodynamic equation, including diffusive and dissipative effects, for systems with generic static position-dependent driving forces coupling to local conserved quantities.…

Diffusion and superdiffusion from hydrodynamic projection

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Hydrodynamic projections, the projection onto conserved charges representing ballistic propagation of fluid waves, give exact transport results in many-body systems, such as the exact Drude weights.…

Diffusion and Superdiffusion from Hydrodynamic Projections

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Hydrodynamic projections, the projection onto conserved charges representing ballistic propagation of fluid waves, give exact transport results in many-body systems, such as the exact Drude weights.…

Fluctuations in Ballistic Transport from Euler Hydrodynamics

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- 2019

We propose a general formalism, within large-deviation theory, giving access to the exact statistics of fluctuations of ballistically transported conserved quantities in homogeneous, stationary…

Current Operators in Bethe Ansatz and Generalized Hydrodynamics: An Exact Quantum-Classical Correspondence

- Mathematics, PhysicsPhysical Review X
- 2020

Generalized Hydrodynamics is a recent theory that describes large scale transport properties of one dimensional integrable models. It is built on the (typically infinitely many) local conservation…

Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains

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- 2019

We study the nonequilibrium dynamics of random spin chains that remain integrable (i.e., solvable via Bethe ansatz): because of correlations in the disorder, these systems escape localization and…

Hydrodynamics of massless integrable RG flows and a non-equilibrium c-theorem

- PhysicsJournal of High Energy Physics
- 2019

Abstract
We study Euler scale hydrodynamics of massless integrable quantum field theories interpolating between two non-trivial renormalisation group fixed points after inhomogeneous quantum…

Generalized hydrodynamics regime from the thermodynamic bootstrap program

- PhysicsSciPost Physics
- 2020

Within the generalized hydrodynamics (GHD) formalism for quantum
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Euler-scale dynamical fluctuations in non-equilibrium interacting integrable systems

- Physics
- 2020

We derive an exact formula for the scaled cumulant generating function of the time-integrated current associated to an arbitrary ballistically transported conserved charge. Our results rely on the…

Generalized hydrodynamics of the classical Toda system

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We obtain the exact generalized hydrodynamics for the integrable Toda system. The Toda system can be seen in a dual way, both as a gas and as a chain. In the gas point of view, using the elastic and…

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