Activities per year
Abstract
The velocityspace moments of the often troublesome nonlinear Landau collision operator are expressed exactly in terms of multiindex Hermitepolynomial moments of distribution functions. The collisional moments are shown to be generated by derivatives of two wellknown functions, namely, the RosenbluthMacDonaldJuddTrubnikov potentials for a Gaussian distribution. The resulting formula has a nonlinear dependency on the relative mean flow of the colliding species normalised to the rootmeansquare of the corresponding thermal velocities and a bilinear dependency on densities and higherorder velocity moments of the distribution functions, with no restriction on temperature, flow, or mass ratio of the species. The result can be applied to both the classic transport theory of plasmas that relies on the ChapmanEnskog method, as well as to derive collisional fluid equations that follow Grad's moment approach. As an illustrative example, we provide the collisional tenmoment equations with exact conservation laws for momentum and energytransfer rates.
Original language  English 

Number of pages  42118 
Journal  Physics of Plasmas 
Volume  24 
Issue number  4 
DOIs  
Publication status  Published  Apr 2017 
Externally published  Yes 
Fingerprint
Dive into the research topics of 'Exact collisional moments for plasma fluid theories'. Together they form a unique fingerprint.
Minicourse/workshop on the application of computational mathematics to plasma physics
David Pfefferle (Keynote speaker/Invited speaker)
24 Jun 2019 → 27 Jun 2019Activity: Conferences and workshops › Participation in workshop, seminar or course

Maths & Stats Colloquium "Have you ever wondered what is a fluid theory ?"
David Pfefferle (Speaker)
25 Oct 2018Activity: Service and engagement › Public lecture, debate or seminar
File