Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-07-14
Phys.Rev. D55 (1997) 489-502
Physics
High Energy Physics
High Energy Physics - Phenomenology
23 pages plus 11 uuencoded figures, LaTeX, REVTEX 3.0 version
Scientific paper
10.1103/PhysRevD.55.489
We study the kinetic regime of the Bose-condensation of scalar particles with weak $\lambda \phi^4$ self-interaction. The Boltzmann equation is solved numerically. We consider two kinetic stages. At the first stage the condensate is still absent but there is a nonzero inflow of particles towards ${\bf p} = {\bf 0}$ and the distribution function at ${\bf p} ={\bf 0}$ grows from finite values to infinity in a finite time. We observe a profound similarity between Bose-condensation and Kolmogorov turbulence. At the second stage there are two components, the condensate and particles, reaching their equilibrium values. We show that the evolution in both stages proceeds in a self-similar way and find the time needed for condensation. We do not consider a phase transition from the first stage to the second. Condensation of self-interacting bosons is compared to the condensation driven by interaction with a cold gas of fermions; the latter turns out to be self-similar too. Exploiting the self-similarity we obtain a number of analytical results in all cases.
Semikoz Dmitri V.
Tkachev Igor I.
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