The process of condensation in the system of scalar bosons with weak λφ⁴ interaction is considered. The Boltzmann kinetic equation is solved numerically. We consider two kinetic stages. At the first stage condensate is still absent but there is nonzero inflow of particles towards p0ex0ex=0ex0ex0 and the distribution function at p0ex0ex=0ex0ex0 grows from finite values to infinity. At the second stage there are two components, 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.
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Semikoz et al. (1995) studied this question.
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