Eigenvalue solution for the ion-collisional effects on ion-acoustic and entropy waves

Journal Article · Sat May 01 04:00:00 EDT 1993 · Physics of Fluids B; (United States)

DOI:https://doi.org/10.1063/1.860883· OSTI ID:6646630

Tracy, M D ^[1]; Williams, E A ^[2]; Estabrook, K G ^[2]; De Groot, J S ^[3]; Cameron, S M ^[1]

---

1. Department of Applied Science, University of California, Davis-Livermore and Lawrence Livermore National Laboratory, Livermore, California 94550 (United States)
2. Lawrence Livermore National Laboratory, Livermore, California 94550 (United States)
3. Department of Applied Science and Plasma Research Group, University of California, Davis, California 95616 (United States)

The linearized ion Fokker--Planck equation is solved as an eigenvalue problem under the condition of collisionless electrons in the quasineutral limit ([phi]=0) for ionization-temperature ratios, [ital ZT][sub [ital e]]/[ital T][sub [ital i]]=2, 4, and 8 for entropy waves and ionization-temperature ratios, [ital ZT][sub [ital e]]/[ital T][sub [ital i]]=4, 8, 16, 32, 48, 64, and 80 for ion-acoustic waves. The perturbed ion distribution function for the ion-acoustic and entropy waves is formed from a Legendre polynomial expansion of eigenvectors and can be used to calculate collisionally dependent macroscopic quantities in the plasma such as gamma ([Gamma]=[ital C][sub [ital p]]/[ital C][sub [ital v]]), the ratio of specific heats, and the ion thermal conductivity ([kappa][sub [ital i]]).

• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6646630
• Journal Information: Physics of Fluids B; (United States), Journal Name: Physics of Fluids B; (United States) Vol. 5:5; ISSN 0899-8221; ISSN PFBPEI
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700330 -- Plasma Kinetics
Transport
& Impurities-- (1992-)
700340* -- Plasma Waves
Oscillations
& Instabilities-- (1992-)
COLLISIONS
DIFFERENTIAL EQUATIONS
EIGENVALUES
ELECTRONS
ELEMENTARY PARTICLES
ENTROPY
EQUATIONS
FERMIONS
FOKKER-PLANCK EQUATION
FUNCTIONS
ION ACOUSTIC WAVES
ION COLLISIONS
ION WAVES
ION-ION COLLISIONS
LEGENDRE POLYNOMIALS
LEPTONS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
PLASMA WAVES
POLYNOMIALS
SPECIFIC HEAT
THERMAL CONDUCTIVITY
THERMODYNAMIC PROPERTIES