scholarly journals Nonlinear Diffusion of Ions in a Gas

1975 ◽  
Vol 28 (5) ◽  
pp. 523 ◽  
Author(s):  
RE Robson
Keyword(s):  
Kinetic Equation ◽  
Ion Transport ◽  
Nonlinear Diffusion ◽  
Drift Tube ◽  
Diffusion Processes ◽  
Transport Coefficients ◽  
Model Kinetic Equation ◽  
Neutral Gas

The evolution in time of an initially closely bunched group of ions in a neutral gas is examined by solving a model kinetic equation, and limits to the validity of the linear law of diffusion (Pick's law) are established. The implications of nonlinear diffusion processes for determination of ion transport coefficients in drift tube experiments are discussed.

Analysis of reactive ion transport in weakly ionized gas mixtures

1991 ◽  
Vol 69 (7) ◽  
pp. 1090-1099 ◽  
Author(s):  
Koichi Iinuma
Keyword(s):  
Ion Transport ◽  
Transport Theory ◽  
Dynamic Equilibrium ◽  
Transport Coefficients ◽  
Three Dimensional ◽  
Reaction Rates ◽  
Gas Mixtures ◽  
Reaction Scheme ◽  
Inelastic Process ◽  
Neutral Gas

A new formulation for the analysis of low density multiple-ion swarms drifting, diffusing, and inter-reacting in a neutral gas is proposed on a transport theory basis. A set of coupled three-dimensional transport equations for an arbitrary number of ion species, which governs the number densities of the ion swarms as functions of time and position coordinates, is exactly solved using a Fourier transform in a matrix representation. A picture of dynamic equilibrium state for hypothetical four ion swarms in a neutral gas is numerically obtained. Also, experimental data of transport coefficients and reaction rates for (Li+, Li+•N2, Li+•2N2)flN2 system are examined in a complete reversible cyclic reaction scheme and compared with a Green's function method. The initial and boundary conditions, the analysis in gas mixtures, and the inelastic process associated with the present formulation are briefly discussed. Key words: ion swarm, cluster ion, transport equation, ion–molecule reaction.

scholarly journals Nonlinear Diffusion of Ions in a Gas. II. Diffusion in Finite Enclosures

1976 ◽  
Vol 29 (3) ◽  
pp. 171 ◽  
Author(s):  
RE Robson
Keyword(s):  
Kinetic Equation ◽  
Nonlinear Diffusion ◽  
Model Kinetic Equation ◽  
Bgk Model ◽  
And Diffusion

The connection between nonlinear diffusion and diffusion cooling of ions in a bounded gas is examined using the BGK model kinetic equation.

scholarly journals Transport Coefficients and Velocity Distribution Function of an Ion Swarm in an AC Electric Field Obtained from the BGK Kinetic Equation

1994 ◽  
Vol 47 (3) ◽  
pp. 305 ◽  
Author(s):  
RE Robson ◽  
T Makabe
Keyword(s):  
Distribution Function ◽  
Steady State ◽  
Kinetic Equation ◽  
Velocity Distribution ◽  
Transport Coefficients ◽  
Velocity Distribution Function ◽  
Model Kinetic Equation ◽  
Bgk Model ◽  
Ac Electric Field ◽  
Periodic Steady State

The transition to a periodic steady state for an ion swarm in a gas is investigated using the BGK model kinetic equation. Exact expressions for transport coefficients and the velocity distribution function are obtained and the latter is compared with experimental observations of ions in their parerit gases undergoing predominantly charge-transfer collisions.

Anomalous transport coefficients in a magnetized turbulent plasma

1982 ◽  
Vol 28 (2) ◽  
pp. 193-214 ◽  
Author(s):  
Qiu Xiaoming ◽  
R. Balescu
Keyword(s):  
Transport Coefficients ◽  
Collision Operator ◽  
Turbulent Plasma ◽  
Anomalous Transport ◽  
Weak Turbulence ◽  
Dissipative Effects ◽  
Dependent Transport ◽  
Two Fluid ◽  
Two Fluid Plasma

In this paper we generalize the formalism developed by Balescu and Paiva-Veretennicoff, valid for any kind of weak turbulence, for the determination of all the transport coefficients of an unmagnetized turbulent plasma, to the case of a magnetized one, and suggest a technique to avoid finding the inverse of the turbulent collision operator. The implicit plasmadynamical equations of a two-fluid plasma are presented by means of plasmadynamical variables. The anomalous transport coefficients appear in their natural places in these equations. It is shown that the necessary number of transport coefficients for describing macroscopically the magnetized turbulent plasma does not exceed the number for the unmagnetized one. The typical turbulent and gyromotion terms, representing dissipative effects peculiar to the magnetized system, which contribute to the frequency-dependent transport coefficients are clearly exhibited.

Monte Carlo simulation of nonlinear diffusion processes, II

1994 ◽  
Vol 11 (1) ◽  
pp. 31-45 ◽  
Author(s):  
Shigeyoshi Ogawa
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Nonlinear Diffusion ◽  
Diffusion Processes

Determination of Insulating Properties of SO2 gas from BOLSIG+ Calculated Swarm Transport Coefficients

2021 ◽  
Author(s):  
Akhilesh Kumar Pandey ◽  
Pushpendra Singh ◽  
Mohd. Shahnawaz Khan ◽  
Jitendra Kumar Singh
Keyword(s):  
Transport Coefficients ◽  
Insulating Properties ◽  
So2 Gas

Minisymposium: Nonlinear Diffusion Processes: Cross Diffusion, Complex Diffusion and Related Topics

2017 ◽  
pp. 383-384
Author(s):  
Adérito Araújo ◽  
Sílvia Barbeiro ◽  
Ángel Durán ◽  
Eduardo Cuesta
Keyword(s):  
Nonlinear Diffusion ◽  
Diffusion Processes ◽  
Cross Diffusion ◽  
Complex Diffusion

Nonisothermal moisture transport in hygroscopic building materials: modeling for the determination of moisture transport coefficients

2007 ◽  
Vol 72 (2) ◽  
pp. 255-271 ◽  
Author(s):  
Menghao Qin ◽  
Rafik Belarbi ◽  
Abdelkarim Ait-Mokhtar ◽  
Lars-Olof Nilsson
Keyword(s):  
Moisture Transport ◽  
Building Materials ◽  
Transport Coefficients ◽  
Materials Modeling
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