Diffusive hydrodynamics from integrability breaking
Diffusive hydrodynamics from integrability breaking
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DOI：
10.1103/physrevb.101.180302
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发表时间：
2020-05-05
影响因子：
3.7
通讯作者：
Vasseur, Romain
中科院分区：
文献类型：
--
作者：
Friedman, Aaron J.;Gopalakrishnan, Sarang;Vasseur, Romain
我们描述了在几乎可积系统中从广义流体力学到常规流体力学的交叉。可积系统有无限多个守恒量，这些守恒量通常以弹道方式传播。当可积性被破坏时，这些守恒量中只有几个幸存下来。剩余的守恒量一般是扩散输运的，我们给出了一个紧凑而一般的扩散方程。扩散常数依赖于可积破缺扰动的矩阵元；对于一类包括长程相互作用的可积破缺扰动，扩散常数可以完全用广义流体动力学数据来表示。
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.