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arXiv · 2203.02299

Stability analysis of non-thermal fixed points in longitudinally expanding kinetic theory

Aleksandr N. Mikheev·Aleksas Mazeliauskas·Jürgen Berges
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Abstract

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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Aleksandr N. Mikheev, Aleksas Mazeliauskas, Jürgen Berges. 2022-03-04. Stability analysis of non-thermal fixed points in longitudinally expanding kinetic theory. https://doi.org/10.1103/physrevd.105.116025

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