Kinetic theory of dense fluids subject to an electric field and the Onsager–Fuoss theory of ionic conductivity

1987 ◽  
Vol 87 (2) ◽  
pp. 1238-1244 ◽  
Author(s):  
Byung Chan Eu
Keyword(s):  
Ionic Conductivity ◽  
Kinetic Theory ◽  
Electric Field ◽  
Dense Fluids

Stochastic Particle Dynamics

2018 ◽  
Author(s):  
Sauro Succi
Keyword(s):  
Brownian Motion ◽  
Kinetic Theory ◽  
Stochastic Dynamics ◽  
Kinetic Equations ◽  
Planck Equation ◽  
Central Place ◽  
Conclusive Evidence ◽  
Dense Fluids ◽  
Complementary Role ◽  
Collisional Interactions

Dense fluids and liquids molecules are in constant interaction; hence, they do not fit into the Boltzmann’s picture of a clearcut separation between free-streaming and collisional interactions. Since the interactions are soft and do not involve large scattering angles, an effective way of describing dense fluids is to formulate stochastic models of particle motion, as pioneered by Einstein’s theory of Brownian motion and later extended by Paul Langevin. Besides its practical value for the study of the kinetic theory of dense fluids, Brownian motion bears a central place in the historical development of kinetic theory. Among others, it provided conclusive evidence in favor of the atomistic theory of matter. This chapter introduces the basic notions of stochastic dynamics and its connection with other important kinetic equations, primarily the Fokker–Planck equation, which bear a complementary role to the Boltzmann equation in the kinetic theory of dense fluids.

Erratum: Kinetic theory of dense fluids

1976 ◽  
Vol 64 (12) ◽  
pp. 5322-5322
Author(s):  
I. B. Schrodt ◽  
H. T. Davis
Keyword(s):  
Kinetic Theory ◽  
Dense Fluids

Erratum: On the Kinetic Theory of Dense Fluids. XVI. The Ideal Ionic Melt

1964 ◽  
Vol 41 (12) ◽  
pp. 4003-4003
Author(s):  
B. Berne ◽  
Stuart A. Rice
Keyword(s):  
Kinetic Theory ◽  
Dense Fluids ◽  
Ionic Melt ◽  
The Ideal

Kinetic theory of the evolution of collective plasma excitations in an external electric field

1976 ◽  
Vol 16 (2) ◽  
pp. 129-148 ◽  
Author(s):  
R. Balescu ◽  
I. Paiva-Veretennicoff
Keyword(s):  
External Field ◽  
Kinetic Theory ◽  
Electric Field ◽  
Normal Mode Analysis ◽  
Kinetic Equations ◽  
Mode Analysis ◽  
Parametric Effects ◽  
Collective Plasma ◽  
External Time ◽  
System Approaches

The kinetic theory of a plasma is developed on the basis of a normal mode analysis-In the absence of any external field, the system approaches a ‘plasmadynamical (PD) state’, described by fourteen amplitudes of the PD modes. The corresponding eigenvalues and eigenvectors are constructed explicitly. When an external time-dependent electric field is switched on, transitions between these modes determine the evolution of the plasma. Assuming that a PD regime is valid, the kinetic equations reduce to a set of equations describing parametric effects and nonlinear mode-mode couplings. A new source term, arising from the interference between collisions and external field, also appears. Some qualitative implications are discussed.

On the Kinetic Theory of Dense Fluids. XVI. The Ideal Ionic Melt

1964 ◽  
Vol 40 (5) ◽  
pp. 1347-1362 ◽  
Author(s):  
Bruce Berne ◽  
Stuart A. Rice
Keyword(s):  
Kinetic Theory ◽  
Dense Fluids ◽  
Ionic Melt ◽  
The Ideal

Kinetic Theory of Dense Fluids. XII. Electronic and Ionic Motion in Liquid He4I and Liquid He3

1962 ◽  
Vol 37 (7) ◽  
pp. 1521-1527 ◽  
Author(s):  
H. T. Davis ◽  
Stuart A. Rice ◽  
Lothar Meyer
Keyword(s):  
Kinetic Theory ◽  
Dense Fluids ◽  
Ionic Motion

scholarly journals Electron Mobility in Liquid Argon

1959 ◽  
Vol 12 (1) ◽  
pp. 105 ◽  
Author(s):  
FD Stacey
Keyword(s):  
Kinetic Theory ◽  
Electric Field ◽  
Electron Energy ◽  
Cross Section ◽  
Drift Velocity ◽  
Electron Mobility ◽  
Alternative Explanation ◽  
Liquid Argon ◽  
Scattering Cross Section ◽  
Scattering Cross

Experiments of Williams (1957) showed that the drift velocity of electrons in liquid argon to which an electric field F is applied is essentially independent of F. If the electrons remain free then their motion can be described by kinetic theory, from which it appears that electron mobility is proportional to F-I and drift velocity to Fli. This is the dependence reported by Malkin and Schultz (1951), but it is evident that the recent, more exhaustive work of Williams (1957) is correct on this point and therefore that kinetic theory is not applicable to the problem. This theory could in principle be extended to explain a fieldindependent velocity, by supposing a special dependence upon electron energy of the scattering cross section for the collision of electrons with argon atoms, but this is very artificial and unnecessary in view of the alternative explanation suggested here; in any case it leaves further serious objections, which will also be discussed briefly.

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