Stability analysis of non-thermal fixed points in longitudinally expanding kinetic theory
We use the Hamiltonian formulation of kinetic theory to perform a stability analysis of non-thermal fixed points in a non-Abelian plasma. We construct a perturbative expansion of the Fokker-Planck collision kernel in an adiabatic approximation and show that the (next-to-)leading order solutions repr...
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| Main Authors: | , , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
29 Jun 2022
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| In: |
Arxiv
Year: 2022, Pages: 1-9 |
| DOI: | 10.48550/arXiv.2203.02299 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.2203.02299 Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2203.02299 
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| Author Notes: | Aleksandr N. Mikheev, Aleksas Mazeliauskas, and Jürgen Berges |
| Summary: | We use the Hamiltonian formulation of kinetic theory to perform a stability analysis of non-thermal fixed points in a non-Abelian plasma. We construct a perturbative expansion of the Fokker-Planck collision kernel in an adiabatic approximation and show that the (next-to-)leading order solutions reproduce the known non-thermal fixed point scaling exponents. Working at next-to-leading order, we derive the stability equations for scaling exponents and find the relaxation rate to the non-thermal fixed point. This approach provides the basis for an understanding of the prescaling phenomena observed in QCD kinetic theory and non-relativistic Bose gas systems. |
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| Item Description: | Gesehen am 20.09.2022 |
| Physical Description: | Online Resource |
| DOI: | 10.48550/arXiv.2203.02299 |