On the property of the BBGKY hierarchy solution in cumulant representation
Mykhailo O. Stashenko
Halyna M. Hubal
Abstract. We consider a one-dimensional nonsymmetric system of particles interacting via the hard-core potential. For this system, we prove that the BBGKY hierarchy solution in a cumulant representation is an equilibrium in the case of equilibrium initial data.
Keywords: BBGKY hierarchy of equations, nonsymmetric system, cumulant (semi-invariant), equilibrium distribution functions.
Mathematics Subject Classification: 35Q72.