Diffusive hydrodynamics from integrability breaking

Aaron J. Friedman, Sarang Gopalakrishnan, Romain Vasseur

Research output: Contribution to journalArticlepeer-review

71 Scopus citations


We describe 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 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.

Original languageEnglish (US)
Article number180302
JournalPhysical Review B
Issue number18
StatePublished - May 1 2020

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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