2011/10/14 by T. Matos, A. Suárez
Physics and Astronomy · #gr-qc #cond-mat.quant-gas
paper · pdf · doi:10.1209/0295-5075/96/56005
published as T. Matos and A. Suárez 2011 EPL 96 56005 · 5 pages, accepted for publication at EPL. arXiv admin note: substantial text overlap with arXiv:1103.5731
arxiv created 2011/10/14 · arxiv updated 2014/02/04
Starting with a scalar field in a thermal bath and using the one loop quantum correction potential, we rewrite the Klein-Gordon equation in its thermodynamical representation and study the behavior of this scalar field due to temperature variations in the equations of motion. We find the generalization of a Gross-Pitaevskii like equation for a relativistic Bose gas with finite temperature, the corresponding thermodynamic and viscosity expressions, and an expression for the postulate of the first law of the thermodynamics for this BECs. We also propose that the equations obtained might help to explain at some level the phase transition of a Bose-Einstein Condensate in terms of quantum field theory in a simple way.