How does relativistic kinetic theory remember about initial conditions? - INSPIRE

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How does relativistic kinetic theory remember about initial conditions?

Michal P. Heller
(
- Potsdam, Max Planck Inst. and
- NCBJ, Warsaw
)
,
Viktor Svensson
(
- Potsdam, Max Planck Inst. and
- NCBJ, Warsaw
)

Feb 22, 2018

11 pages

Published in:

Phys.Rev.D 98 (2018) 5, 054016

Published: Sep 18, 2018

e-Print:

1802.08225 [nucl-th]

DOI:

10.1103/PhysRevD.98.054016

View in:

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Abstract: (APS)

Understanding hydrodynamization in microscopic models of heavy-ion collisions has been an important topic in current research. Many lessons obtained within the strongly coupled (holographic) models originate from the properties of transient excitations of equilibrium encapsulated by short-lived quasinormal modes of black holes. This paper aims to develop similar intuition for expanding plasma systems described by a simple model from the weakly coupled domain: the Boltzmann equation in the relaxation time approximation. We show that in this kinetic theory setup there are infinitely many transient modes carrying information about the initial distribution function. They all have the same exponential damping set by the relaxation time but are distinguished by different power-law suppressions and different frequencies of oscillations, logarithmic in proper time. Finally, we also analyze the resurgent interplay between the hydrodynamics and transients in this setup.

Note:

11 pages, 4 figures; Published in Physical Review D

Strong Interactions
black hole: quasinormal mode
heavy ion: scattering
hydrodynamics
kinetic
distribution function
boundary condition
Boltzmann equation
time dependence
field equations

References(66)

Figures(4)

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