Premium
A Covariant Hierarchy of Kinetic Equations for Classical Particles and Fields
Author(s) -
De Jagher P. C.,
Sluijter F. W.
Publication year - 1988
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.2150280208
Subject(s) - covariant transformation , hierarchy , phase space , space (punctuation) , bbgky hierarchy , physics , statistical physics , kinetic theory , kinetic energy , statistical ensemble , particle (ecology) , classical mechanics , mathematical physics , mathematics , theoretical physics , canonical ensemble , monte carlo method , thermodynamics , computer science , distribution function , statistics , economics , market economy , operating system , oceanography , geology
It is shown that several problems, that are met when constructing a covariant statistical theory, can be circumverted demanding that only the resulting equation for the macroscopic entities are covariant whereas only mathematical meaning is ascribed to concepts as phase space and ensemble density. Accordingly a hierarchy of equations for averaged particle distributions and fields and their correlations is derived.