Diffusive hydrodynamics from integrability breaking
Aaron J. FriedmanDepartment of Physics and Astronomy, University of California, Irvine, California 92697, USASarang GopalakrishnanDepartment of Physics and Astronomy, CUNY College of Staten Island, Staten Island, New York 10314, USA and Physics Program and Initiative for the Theoretical Sciences, The Graduate Center, CUNY, New York, New York 10016, USARomain VasseurDepartment of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA
2020en
ABI
Аннотация
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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