𝔖 Bobbio Scriptorium
✦   LIBER   ✦

BBGKY-hierarchies and Vlasov's equations in postgalilean approximation

✍ Scribed by Yu.N. Orlov; I.P. Pavlotsky

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
1014 KB
Volume
151
Category
Article
ISSN
0378-4371

No coin nor oath required. For personal study only.

✦ Synopsis

The so-called "no interaction theorem" of D.G. Currie, T.F. Jordan and E.C. Sudarschan makes it possible to construct relativistic quasiclassical dynamics and based on it statistical mechanics in the postgalilean approximation only. This paper deals with constructing equilibrium and non-equilibrium BBGKY-hierarchies, equilibrium one-body distributions and Vlasov's kinetic equations in this approximation. The results are obtained for particles of arbitrary contravariant tensor valency in both Lagrange and Hamilton variables.

πŸ“œ SIMILAR VOLUMES

Best approximation and numerical methods
Best approximation and numerical methods in solution of differential equations
✍ E.G. Litinsky πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science 🌐 English βš– 210 KB

Let Q(x) be polynomial of degree q interpolating x m at the points x-i, i = 0, 1, ..., q, where xi are zeros of the Tchebysheff polynomial of degree q + 1 on the interval [0, 1]. If q is of order x/m, then Q(x) approximates x m well enough. This result is used to obtain a good approximation to the s