The collisionless hydrodynamics: On the nonexistence of collisionless shocks
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909469219225600 |
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| author | Gruzinov, Andrei |
| author_facet | Gruzinov, Andrei |
| contents | Collisionless shocks, essential for astrophysics, perhaps do not exist as statistically stationary solutions. If so, any quantitative statement about a collisionless shock should be qualified by the age of the shock.
A theoretical description of the upstream of the 1+1 dimensional electrostatic collisionless shock is developed -- collisionless hydrodynamics. Peculiarities of collisionless hydrodynamics prevent a shock formation when a piston is driven into cold plasma. An exact self-similar solution is found instead; the spatial extent of the solution grows linearly in time.
Direct numerical simulations of plasma kinetics in 1+1 dimensions confirm the hydrodynamic result -- a statistically steady collisionless shock doesn't exist. Instead, at each fixed time, there is a continuous succession in space of marginally stable velocity distribution functions. The spatial support of this continuous succession grows linearly in time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17341 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The collisionless hydrodynamics: On the nonexistence of collisionless shocks Gruzinov, Andrei High Energy Astrophysical Phenomena Collisionless shocks, essential for astrophysics, perhaps do not exist as statistically stationary solutions. If so, any quantitative statement about a collisionless shock should be qualified by the age of the shock. A theoretical description of the upstream of the 1+1 dimensional electrostatic collisionless shock is developed -- collisionless hydrodynamics. Peculiarities of collisionless hydrodynamics prevent a shock formation when a piston is driven into cold plasma. An exact self-similar solution is found instead; the spatial extent of the solution grows linearly in time. Direct numerical simulations of plasma kinetics in 1+1 dimensions confirm the hydrodynamic result -- a statistically steady collisionless shock doesn't exist. Instead, at each fixed time, there is a continuous succession in space of marginally stable velocity distribution functions. The spatial support of this continuous succession grows linearly in time. |
| title | The collisionless hydrodynamics: On the nonexistence of collisionless shocks |
| topic | High Energy Astrophysical Phenomena |
| url | https://arxiv.org/abs/2501.17341 |