Journal
PHYSICAL REVIEW B
Volume 101, Issue 18, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.101.180302
Keywords
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Funding
- National Science Foundation [DMR-1653271]
- U.S. Department of Energy, Office of Science, Basic Energy Sciences [DE-SC0019168]
- Alfred P. Sloan Foundation through a Sloan Research Fellowship
- U.S. Department of Energy (DOE) [DE-SC0019168] Funding Source: U.S. Department of Energy (DOE)
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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.
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