ISSN:
1572-9613
Keywords:
Coarse-graining in space and time
;
scale invariance
;
scale covariance
;
BBGKY hierarchy
;
kinetic scaling
;
interlevel correlations
;
fluctuations inμ space
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract On the basis of the scale covariance of correlation functions under a coarsegraining in space and time, the Boltzmann equation for neutral gases, the Balescu-Lenard-Boltzmann-Landau equation for dilute plasmas, and linear equations for the variances of fluctuations are derived from the BBGKY hierarchy equations with no short-range correlations at the initial time. This is done by using Mori's scaling method in an extended form. Thus it is shown that the scale invariance of macroscopic features affords a useful principle in nonequilibrium statistical mechanics. It is also shown that there existtwo kinds of correlation functions, one describing the interlevel correlations of the kinetic level with its sublevels and the other representing the fluctuations in the kinetic level.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01014305
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