Navier-Stokes equations for nearly integrable quantum gases
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913677367574528 |
|---|---|
| author | Łebek, Maciej Panfil, Miłosz |
| author_facet | Łebek, Maciej Panfil, Miłosz |
| contents | The Navier-Stokes equations are paradigmatic equations describing hydrodynamics of an interacting system with microscopic interactions encoded in transport coefficients. In this work we show how the Navier-Stokes equations arise from the microscopic dynamics of nearly integrable $1d$ quantum many-body systems. We build upon the recently developed hydrodynamics of integrable models to study the effective Boltzmann equation with collision integral taking into account the non-integrable interactions. We compute the transport coefficients and find that the resulting Navier-Stokes equations have two regimes, which differ in the viscous properties of the fluid. We illustrate the method by computing the transport coefficients for an experimentally relevant case of coupled $1d$ cold-atomic gases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14292 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Navier-Stokes equations for nearly integrable quantum gases Łebek, Maciej Panfil, Miłosz Statistical Mechanics Quantum Gases Exactly Solvable and Integrable Systems The Navier-Stokes equations are paradigmatic equations describing hydrodynamics of an interacting system with microscopic interactions encoded in transport coefficients. In this work we show how the Navier-Stokes equations arise from the microscopic dynamics of nearly integrable $1d$ quantum many-body systems. We build upon the recently developed hydrodynamics of integrable models to study the effective Boltzmann equation with collision integral taking into account the non-integrable interactions. We compute the transport coefficients and find that the resulting Navier-Stokes equations have two regimes, which differ in the viscous properties of the fluid. We illustrate the method by computing the transport coefficients for an experimentally relevant case of coupled $1d$ cold-atomic gases. |
| title | Navier-Stokes equations for nearly integrable quantum gases |
| topic | Statistical Mechanics Quantum Gases Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2404.14292 |