2000/12/31 by M. Salle, Mischa Sallé, Jan Smit +3 · 29 citations
Materials Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Hartree #Quantum many-body systems #Range (aeronautics) #Scale (ratio) #Thermal #Thermal equilibrium #Thermal properties of materials #Thermalisation #hep-lat #hep-ph
paper · pdf · doi:10.1016/s0550-3213(01)00659-9
published in Nuclear Physics B 625(3), 495-511 (Elsevier BV) · 19 pages latex; extensively rewritten to improve presentation, data essentially unchanged, analysis sharpened and one table added
arxiv created 2001/08/28 · openalex publication_date 2002/03/01 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 ϕ4 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.