Kinetic field theory of compact systems
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908515709222912 |
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| author | Bartelmann, Matthias Stokes, James |
| author_facet | Bartelmann, Matthias Stokes, James |
| contents | The kinetic field theory is developed without assumptions of statistical homogeneity and isotropy. In a solvable toy model with short-ranged interactions, we compare first-order perturbation theory to an iterated mean-field approximation scheme, demonstrating that the mean-field theory maintains positivity and captures collapse dynamics, allowing analytic estimates of blow-up times. In a self-gravitating sheet model, the first-order perturbation theory is shown to reproduce critical phenomena. This work suggests a path toward convergence analysis of the mean-field approximation and applications to more complex inhomogeneous systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02459 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kinetic field theory of compact systems Bartelmann, Matthias Stokes, James Cosmology and Nongalactic Astrophysics The kinetic field theory is developed without assumptions of statistical homogeneity and isotropy. In a solvable toy model with short-ranged interactions, we compare first-order perturbation theory to an iterated mean-field approximation scheme, demonstrating that the mean-field theory maintains positivity and captures collapse dynamics, allowing analytic estimates of blow-up times. In a self-gravitating sheet model, the first-order perturbation theory is shown to reproduce critical phenomena. This work suggests a path toward convergence analysis of the mean-field approximation and applications to more complex inhomogeneous systems. |
| title | Kinetic field theory of compact systems |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2509.02459 |