Staying Thermal with Hartree Ensemble Approximations
Abstract
We study thermal behavior of a recently introduced Hartree ensemble approximation, which allows for non-perturbative inhomogeneous field configurations as well as for approximate thermalization, in the model in 1+1 dimensions. Using ensembles with a free field thermal distribution as out-of-equilibrium initial conditions we determine thermalization time scales. The time scale for which the system stays in approximate quantum thermal equilibrium is an indication of the time scales for which the approximation method stays reasonable. This time scale turns out to be two orders of magnitude larger than the time scale for thermalization, in the range of couplings and temperatures studied. We also discuss simplifications of our method which are numerically more efficient and make a comparison with classical dynamics.
Cite
@article{arxiv.hep-ph/0012362,
title = {Staying Thermal with Hartree Ensemble Approximations},
author = {M. Salle and J. Smit and J. C. Vink},
journal= {arXiv preprint arXiv:hep-ph/0012362},
year = {2015}
}
Comments
19 pages latex; extensively rewritten to improve presentation, data essentially unchanged, analysis sharpened and one table added