# Kinetic theory of a longitudinally expanding system of scalar particles

Abstract : A simple kinematical argument suggests that the classical approximation may be inadequate to describe the evolution of a system with an anisotropic particle distribution. In order to verify this quantitatively, we study the Boltzmann equation for a longitudinally expanding system of scalar particles interacting with a $\phi^4$ coupling, that mimics the kinematics of a heavy ion collision at very high energy. We consider only elastic $2\to 2$ scatterings, and we allow the formation of a Bose-Einstein condensate in overpopulated situations by solving the coupled equations for the particle distribution and the particle density in the zero mode. For generic CGC-like initial conditions with a large occupation number and a moderate coupling, the solutions of the full Boltzmann equation do not follow a classical attractor behavior.
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Journal articles
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Cited literature [33 references]

https://hal-cea.archives-ouvertes.fr/cea-01280458
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1506.05580v2.pdf
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### Citation

Thomas Epelbaum, François Gelis, Sangyong Jeon, Guy Moore, Bin Wu. Kinetic theory of a longitudinally expanding system of scalar particles. Journal of High Energy Physics, Springer Verlag (Germany), 2015, ⟨10.1007/JHEP09(2015)117⟩. ⟨cea-01280458⟩

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