Equilibration in finite Bose systems

Abstract

The equilibration of a finite Bose system is modelled using a gradient expansion of the collision integral that leads to a nonlinear transport equation. For constant transport coefficients, it is solved in closed form through a nonlinear transformation. Using schematic initial conditions, the exact solution and the equilibration time are derived and compared to the corresponding case for fermions. Applications to the equilibration of the gluon system created initially in relativistic heavy-ion collisions, and to cold quantum gases are envisaged.

26 pages, 7 figures

References in corpus (2)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Fixed points and flow analysis on off-equilibrium dynamics in the boson Boltzmann equation

Cited by in corpus (15)

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• Equilibration in fermionic systems
• Bottomonium spectroscopy in the quark-gluon plasma
• Time-dependent condensation of bosonic potassium
• Local equilibration of fermions and bosons
• Nonlinear diffusion of fermions and bosons
• Aspects of relativistic heavy-ion collisions
• Time-dependent condensate fraction in an analytical model
• Hot-medium effects on ${\rm Y}$ yields in pPb collisions at $\sqrt{s_{\text{NN}}}=8.16$ TeV
• Nonlinear diffusion of gluons
• Time-dependent entropy of a cooling Bose gas
• Diffusion-model analysis of pPb and PbPb collisions at LHC energies
• Time-dependent condensate formation in ultracold atoms with energy-dependent transport coefficients
• Partial Ly$\alpha$ thermalization in an analytic nonlinear diffusion model
• Exact solution of the nonlinear boson diffusion equation for gluon scattering