Crossover from generalized to conventional hydrodynamics in nearly integrable systems under relaxation time approximation
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908860519809024 |
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| author | Santra, Saikat Łebek, Maciej Panfil, Miłosz |
| author_facet | Santra, Saikat Łebek, Maciej Panfil, Miłosz |
| contents | Upon breaking the integrability, the equations of generalized hydrodynamics (GHD) are supplemented by a Boltzmann collision term. Such terms are typically complicated and stem from a perturbative treatment of integrability-breaking terms in the hamiltonian. In our work, we study a simplified version of the collision operator in a form of relaxation time approximation familiar from kinetic theory. We explicitly compute transport coefficients which characterize the Navier-Stokes (NS) hydrodynamic regime emerging at large space-time scales. We also thoroughly study the crossover between GHD and NS hydrodynamic descriptions, identifying relevant characteristic space-time scales for the transition. In particular, we show how the emergence of NS hydrodynamics is visible in dynamics of conserved and non-conserved charge densities, and in hydrodynamic two-point functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_02158 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Crossover from generalized to conventional hydrodynamics in nearly integrable systems under relaxation time approximation Santra, Saikat Łebek, Maciej Panfil, Miłosz Statistical Mechanics Upon breaking the integrability, the equations of generalized hydrodynamics (GHD) are supplemented by a Boltzmann collision term. Such terms are typically complicated and stem from a perturbative treatment of integrability-breaking terms in the hamiltonian. In our work, we study a simplified version of the collision operator in a form of relaxation time approximation familiar from kinetic theory. We explicitly compute transport coefficients which characterize the Navier-Stokes (NS) hydrodynamic regime emerging at large space-time scales. We also thoroughly study the crossover between GHD and NS hydrodynamic descriptions, identifying relevant characteristic space-time scales for the transition. In particular, we show how the emergence of NS hydrodynamics is visible in dynamics of conserved and non-conserved charge densities, and in hydrodynamic two-point functions. |
| title | Crossover from generalized to conventional hydrodynamics in nearly integrable systems under relaxation time approximation |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2603.02158 |