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SUMMARY:Collisional Transport for Kinetic Mean Field Theories: Analytical 
 and Numerical Approximation topics - Kirk Distinguished Visiting Fellow Le
 cture - Irene M. Gamba (University of Texas at Austin)
DTSTART:20220525T150000Z
DTEND:20220525T160000Z
UID:TALK173204@talks.cam.ac.uk
DESCRIPTION:The focus of this lecture lays in the interplay &nbsp\;of &nbs
 p\;nonlinear analysis &nbsp\;and numerical approximations to mean field mo
 dels in particle physics where kinetic transport flows in momentum are str
 ongly nonlinearly &nbsp\;modified by macroscopic quantities in classical o
 r spectral density spaces.\nWe will present several examples in weakly and
  highly plasmas where\, just a scaling parameter choses widely different a
 symptotic regimes. One is the classical Landau fluid flow models\, another
  is and entropy diminishing computational schemes for Boltzmann Poisson sy
 stems subject to periodic boundary conditions.\nThe last one\, is the Quas
 i-Linear diffusion model for magnetized fast electrons in momentum space i
 n a toroidal domain results from stimulated emission and absorption of wav
 es packets via wave-particle resonances.&nbsp\;Such model consists in solv
 ing the dynamics of a coupled system of classical kinetic diffusion proces
 ses described by the balance equations for electron probability density fu
 nctions (electron pdf) coupled to the time dynamics on spectral energy wav
 es &nbsp\;(quasi-particles) in a quantum process of their resonant interac
 tion. Such description results in a &lsquo\;mean field&rsquo\; model where
  diffusion coefficients are determined by the local spectral energy densit
 y of excited waves whose perturbations depend on flux averages of the elec
 tron pdf.&nbsp\;\nAnalytical calculations and some Numerical &nbsp\;simula
 tions show a strong hot tail anisotropy&nbsp\;&nbsp\;formation and stabili
 zation for the iteration in a three dimensional cylindrical model. The sem
 i-discrete scheme preserves the total system mass\, momentum and energy.&n
 bsp\;\nWork in collaboration with Clark Pennie\, &nbsp\;Jose Morales Escal
 ante\, &nbsp\;Kun Huang\, Michael Abdelmalik.
LOCATION:Seminar Room 1\, Newton Institute
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