Equilibrium states of gravitational systems |
| |
Authors: | Heide Narnhofer Geoffrey L. Sewell |
| |
Affiliation: | (1) Institut für Theoretische Physik, Universität Wien, Wien, Austria;(2) Department of Physics, Queen Mary College, London, England |
| |
Abstract: | We formulate the equilibrium correlation functions for local observables of an assembly of non-relativistic, neutral gravitating fermions in the limit where the number of particles becomes infinite, and in a scaling where the region , to which they are confined, remains fixed. We show that these correlation functions correspond, in the limit concerned, to states on the discrete tensor product , where the are copies of the gauge invariantC*-algebra of the CAR overL2(R3). The equilibrium states themselves are then given by , where , is the Gibbs state on for an infinitely extended ideal Fermi gas at density , and where 0 is the normalised density function that minimises the Thomas-Fermi functional, obtained in [2], governing the equilibrium thermodynamics of the system. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|