Far-from-equilibrium attractors for massive kinetic theory in the relaxation time approximation

A bstract We investigate whether early and late time attractors for non-conformal kinetic theories exist by computing the time-evolution of a large set of moments of the one-particle distribution function. For this purpose we make use of a previously obtained exact solution of the 0+1D boost-invaria...

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Bibliographic Details
Published in:The journal of high energy physics 2022-12, Vol.2022 (12), p.143-27, Article 143
Main Authors: Alalawi, H., Strickland, M.
Format: Article
Language:English
Subjects:
Anisotropy
Approximation
Boltzmann transport equation
Classical and Quantum Gravitation
Distribution functions
Elementary Particles
Evolution
Exact solutions
Finite Temperature or Finite Density
High energy physics
Kinetic theory
Mathematical analysis
Momentum
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quark-Gluon Plasma
Regular Article - Theoretical Physics
Relativity Theory
Relaxation time
String Theory
Temperature dependence
Time dependence
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Summary:A bstract We investigate whether early and late time attractors for non-conformal kinetic theories exist by computing the time-evolution of a large set of moments of the one-particle distribution function. For this purpose we make use of a previously obtained exact solution of the 0+1D boost-invariant massive Boltzmann equation in relaxation time approximation. We extend prior attractor studies of non-conformal systems by using a realistic mass- and temperature-dependent relaxation time and explicitly computing the effect of varying both the initial momentum-space anisotropy and initialization time on the time evolution of a large set of integral moments. Our findings are consistent with prior studies, which found that there is an attractor for the scaled longitudinal pressure, but not for the shear and bulk viscous corrections separately. We further present evidence that both late- and early-time attractors exist for all moments of the one-particle distribution function that contain greater than one power of the longitudinal momentum squared.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2022)143