Boundary conditions for the electron kinetic equation using expansion techniques | Zendy

Markus M. Becker | Zendy; Gordon K. Grubert | Zendy; Detlef Loffhagen | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Boundary conditions for the electron kinetic equation using expansion techniques

Author(s) -

Markus M. Becker,

Gordon K. Grubert,

Detlef Loffhagen

Publication year - 2010

Publication title -

the european physical journal applied physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.216

H-Index - 49

eISSN - 1286-0050

pISSN - 1286-0042

DOI - 10.1051/epjap/2010073

Subject(s) - legendre polynomials , legendre transformation , boundary value problem , mathematical analysis , electron , boundary (topology) , associated legendre polynomials , mathematics , space (punctuation) , partial differential equation , reflection (computer programming) , differential equation , physics , orthogonal polynomials , classical orthogonal polynomials , quantum mechanics , gegenbauer polynomials , computer science , programming language , operating system

International audienceThe numerical solution of partial differential equations requires suitable boundary conditions. Based on a fundamental integral relation for Legendre polynomials, Marshak type boundary conditions are derived that can be applied if an expansion in Legendre polynomials is utilized to solve the spatially inhomogeneous kinetic equation of the electrons in gas discharge plasmas. In particular, it is now possible to relate directly the expansion coefficients of the phase space distribution with macroscopic quantities at the boundaries. That is, a well-defined influx or a reflection of electrons can easily be treated on the microscopic level

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research