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arXiv · 1207.0344

Chromoelectric oscillations in a dynamically evolving anisotropic background

Wojciech Florkowski·Radoslaw Ryblewski·Michael Strickland
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Abstract

We study the oscillations of a uniform longitudinal chromoelectric field in a dynamically-evolving momentum-space anisotropic background in the weak field limit. Evolution equations for the background are derived by taking moments of the Boltzmann equation in two cases: (i) a fixed relaxation time and (ii) a relaxation time that is proportional to the local inverse transverse momentum scale of the plasma. The second case allows us to reproduce 2nd-order viscous hydrodynamical dynamics in the limit of small shear viscosity to entropy ratio. We then linearize the Boltzmann-Vlasov equation in a dynamically-evolving background and obtain an integro-differential evolution equation for the chromoelectric field. We present numerical solutions to this integro-differential equation for a variety of different initial conditions and shear viscosity to entropy density ratios. The dynamical equations obtained are novel in that they include a non-trivial time-dependent momentum-space anisotropic background and the effect of collisional damping for the first time.

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Wojciech Florkowski, Radoslaw Ryblewski, Michael Strickland. 2012-07-02. Chromoelectric oscillations in a dynamically evolving anisotropic background. https://doi.org/10.1103/physrevd.86.085023

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