Homogeneous Cooling State

  • Vicente GarzóEmail author
Part of the Soft and Biological Matter book series (SOBIMA)


This chapter deals with the problem of the so-called homogeneous cooling state (namely, a homogeneous state where granular temperature monotonically decays in time) for mono- and multicomponent granular gases. Unlike ordinary or classical gases, the Maxwell–Boltzmann velocity distribution is not a solution to the Boltzmann kinetic equation and the exact form of this solution is still unknown. For long times, however, the kinetic equation admits a scaling solution whose form can be approximately obtained by considering the leading terms in a Sonine (Laguerre) polynomial expansion. A new and surprising result (compared to its ordinary gas counterpart) is found for granular mixtures: the well-known energy equipartition theorem is broken for freely cooling systems.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Departamento de Física and Instituto de Computación Científica Avanzada (ICCAEx)Universidad de ExtremaduraBadajozSpain

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