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DOE OSTI · 1617693

Diffusive hydrodynamics from integrability breaking

Friedman, Aaron J.·Gopalakrishnan, Sarang·Vasseur, Romain
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Abstract

We describe here the crossover from generalized to conventional hydrodynamics in nearly integrable systems. Integrable systems have infinitely many conserved quantities, which spread ballistically, in general. When integrability is broken, only a few of these conserved quantities survive. The remaining conserved quantities are generically transported diffusively; we further derive a compact and general diffusion equation for these. The diffusion constant depends on the matrix elements of the integrability-breaking perturbation; for a certain class of integrability-breaking perturbations, including long-range interactions, the diffusion constant can be expressed entirely in terms of generalized hydrodynamic data.

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BibTeXRIS

Friedman, Aaron J., Gopalakrishnan, Sarang, Vasseur, Romain. 2020-05-05. Diffusive hydrodynamics from integrability breaking. https://doi.org/10.1103/physrevb.101.180302

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