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

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.

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