• Corpus ID: 119161989

Divergence of the Chapman-Enskog expansion in relativistic kinetic theory

  title={Divergence of the Chapman-Enskog expansion in relativistic kinetic theory},
  author={Gabriel S. Denicol and Jorge Noronha},
  journal={arXiv: Nuclear Theory},
In this letter we show for the first time that the relativistic Chapman-Enskog series for a massless gas undergoing Bjorken expansion diverges. In order to fix this problem, we propose a novel type of expansion that includes non-perturbative contributions in the Knudsen number that are not considered in Chapman-Enskog theory. This approach is in good agreement with exact solutions of the Boltzmann equation for a wide range of values of Knudsen number and does not display the clear signs of… 

Figures from this paper

Probing bulk viscosity in relativistic flows
We derive an analytical connection between kinetic relaxation rate and bulk viscosity of a relativistic fluid in d spatial dimensions, all the way from the ultra-relativistic down to the near
Causal Relativistic Hydrodynamics of Conformal Fermi-Dirac Gases
In this paper we address the derivation of causal relativistic hydrodynamics, formulated within the framework of Divergence Type Theories (DTTs), from kinetic theory for spinless particles obeying
Azimuthal anisotropies at high momentum from purely non-hydrodynamic transport
In the limit of short mean free path, relativistic kinetic theory gives rise to hydrodynamics through a systematically improvable gradient expansion. In the present work, a systematically improvable
Quasinormal modes in charged fluids at complex momentum
We investigate the convergence of relativistic hydrodynamics in charged fluids, within the framework of holography. On the one hand, we consider the analyticity properties of the dispersion relations
Far-from-equilibrium kinetic dynamics of $\lambda \phi^4$ theory in an expanding universe
We investigate the far-from-equilibrium behavior of the Boltzmann equation for a gas of massless scalar field particles with quartic (tree level) self-interactions ( λφ 4 ) in
Relativistic Fluid Dynamics in and out of Equilibrium
Ten years ago, relativistic viscous fluid dynamics was formulated from first principles in an effective field theory framework, based entirely on the knowledge of symmetries and long-lived degrees of


Grundzuge Einer Allgemeinen Theorie Der Linearen Integralgleichungen
Es sei K (s, t) eine Funktion der reellen Veranderlichen s, t; f(s) sei eine gegebene Funktion von s und ϕ (s) werde als die zu bestimmende Funktion von s angesehen; jede der Veranderlichen s, t moge
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed
  • Fluids 6, 147
  • 1963
The mathematical theory of non-uniform gases : notes added in 1951
  • Rev. 94, 511
  • 1954
Physica 74
  • 466
  • 1974
  • Rev. C 88, 024903
  • 2013
  • Rev. Lett. 56, 1571
  • 1986
  • M. Lifshitz, Fluid Mechanics
  • 1987
  • Rev. Lett. 105, 162501
  • 2010