Equations for Bogolyubov's reduced distribution functions and their solution for arbitrary values of the particle density

1983 ◽  
Vol 57 (1) ◽  
pp. 1007-1014 ◽  
Author(s):  
N. S. Gonchar
Keyword(s):  
Particle Density ◽  
Distribution Functions ◽  
Reduced Distribution Functions

Wigner distribution and reduced distribution functions

1973 ◽  
Vol 58 (11) ◽  
pp. 5120-5124 ◽  
Author(s):  
D. Shalitin
Keyword(s):  
Wigner Distribution ◽  
Distribution Functions ◽  
Reduced Distribution Functions

scholarly journals Analytic slowing-down distributions as modified by turbulent transport

2018 ◽  
Vol 84 (6) ◽  
Author(s):  
G. J. Wilkie
Keyword(s):  
Particle Density ◽  
Plasma Heating ◽  
Turbulent Transport ◽  
A Priori ◽  
High Energy ◽  
Relative Strength ◽  
Distribution Functions ◽  
Toroidal Plasmas ◽  
Model Distribution ◽  
Phase Space Transport

The effect of electrostatic microturbulence on fast particles rapidly decreases at high energy, but can be significant at moderate energy. Previous studies found that, in addition to changes in the energetic particle density, this results in non-trivial changes to the equilibrium velocity distribution. These effects have implications for plasma heating and the stability of Alfvén eigenmodes, but make multiscale simulations much more difficult without further approximations. Here, several related analytic model distribution functions are derived from first principles. A single dimensionless parameter characterizes the relative strength of turbulence relative to collisions, and this parameter appears as an exponent in the model distribution functions. Even the most simple of these models reproduces key features of the numerical phase-space transport solution and provides a useful a priori heuristic for determining how strong the effect of turbulence is on the redistribution of energetic particles in toroidal plasmas.

Truncation procedure for high order reduced distribution functions

1978 ◽  
Vol 90 (3-4) ◽  
pp. 587-596 ◽  
Author(s):  
V.S. Vikhrenko ◽  
G.S. Bokun
Keyword(s):  
Distribution Functions ◽  
High Order ◽  
Reduced Distribution Functions

Evolution of Reduced Distribution Functions. II. The Classical Two‐Body Function

1968 ◽  
Vol 48 (3) ◽  
pp. 1023-1032 ◽  
Author(s):  
Robert G. Mortimer
Keyword(s):  
Distribution Functions ◽  
Body Function ◽  
Reduced Distribution Functions

Chain relations of reduced distribution functions and their associated correlation functions

1998 ◽  
Vol 108 (2) ◽  
pp. 706-714 ◽  
Author(s):  
Saman Alavi ◽  
G. W. Wei ◽  
R. F. Snider
Keyword(s):  
Correlation Functions ◽  
Distribution Functions ◽  
Reduced Distribution Functions

scholarly journals TRANSPORT EQUATIONS FROM LIOUVILLE EQUATIONS FOR FRACTIONAL SYSTEMS

2006 ◽  
Vol 20 (03) ◽  
pp. 341-353 ◽  
Author(s):  
VASILY E. TARASOV
Keyword(s):  
Transport Equation ◽  
Fractional Power ◽  
Distribution Functions ◽  
Fractional Dimension ◽  
Fractional Systems ◽  
Dimension Space ◽  
Bogoliubov Equations ◽  
Reduced Distribution Functions ◽  
Gasdynamic Equations ◽  
Generalized Transport Equation

We consider dynamical systems that are described by fractional power of coordinates and momenta. The fractional powers can be considered as a convenient way to describe systems in the fractional dimension space. For the usual space the fractional systems are non-Hamiltonian. Generalized transport equation is derived from Liouville and Bogoliubov equations for fractional systems. Fractional generalization of average values and reduced distribution functions are defined. Gasdynamic equations for fractional systems are derived from the generalized transport equation.

Dynamics of stiff polymer chains. III. Reduced distribution functions and the Gaussian correlated model

1975 ◽  
Vol 63 (2) ◽  
pp. 935-941 ◽  
Author(s):  
Jeffrey Kovac ◽  
Marshall Fixman
Keyword(s):  
Distribution Functions ◽  
Polymer Chains ◽  
Reduced Distribution Functions
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