Abstract
This chapter is devoted to a rather detailed study of the dynamical transition of the state of a gas of bosons without condensate to a state with condensate, or equivalently to the dynamical formation of a condensate. This transition manifests itself as a finite time singularity of the solution of the Boltzmann– Nordheim kinetic equation at zero wavenumber. This singularity is described by a self-similar solution of this equation of the second kind in the terminology of Zelȉdovich [167].
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Pomeau, Y., Tran, MB. (2019). Formation of Singularities. In: Statistical Physics of Non Equilibrium Quantum Phenomena. Lecture Notes in Physics, vol 967. Springer, Cham. https://doi.org/10.1007/978-3-030-34394-1_7
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DOI: https://doi.org/10.1007/978-3-030-34394-1_7
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