Balancing asymmetric dark matter with baryon asymmetry and dilution of
  frozen dark matter by sphaleron transition
  In this paper we study the effect of electroweak sphaleron transition or
electroweak phase transition (EWPT) in balancing baryon excess to the excess
stable quarks of $4^{th}$ generation. Considering the conservation of all
quantum number and charges, sphaleron transition between between baryons,
leptons and $4^{th}$ family of leptons and quarks is possible. We have tried to
established a possible definite relationship between the value and sign of the
$4^{th}$ family excess relative to baryon asymmetry under the framework of
second order EWPT. In passing by we show the small, yet negligible dilution in
the pre-existing dark matter density due the sphaleron transition.
