On the Local Equilibrium Principle
Abstract
A physical system should be in a local equilibrium if it cannot be distinguished from a global equilibrium by ``infinitesimally localized measurements''. This seems to be a natural characterization of local equilibrium, however the problem is to give a precise meaning to the qualitative phrase ``infinitesimally localized measurements''. A solution is suggested in form of a {\em Local Equilibrium Condition} (LEC) which can be applied to noninteracting quanta. The Unruh temperature of massless quanta is derived by applying LEC to an arbitrary point inside the Rindler Wedge. Massless quanta outside a hot sphere are analyzed. A stationary spherically symmetric local equilibrium does only exist according to LEC if the temperature is globally constant. Using LEC a nontrivial stationary local equilibrium is found for rotating massless quanta between two concentric cylinders of different temperatures. This shows that quanta may behave like a fluid with a Bénard instability.
 Publication:

arXiv eprints
 Pub Date:
 June 2001
 arXiv:
 arXiv:hepth/0106039
 Bibcode:
 2001hep.th....6039H
 Keywords:

 High Energy Physics  Theory
 EPrint:
 21 pages (LaTeX). An argument has been slightly improved with no effect on the conclusions