An Extension of the Analytical Solution of the Ornstein–Zernike Equation with the Yukawa Closure

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Abstract

The analytical solution of the Ornstein–Zernike equation with one Yukawa closure of the factorizable-coefficient case is extended from the scalar-factorization case to the vector-factorization case. As a result, the scaling parameter is extended from a scalar quantity to a matrix quantity, and the scaling matrix JOURNAL/jstp/04.02/00010029-199809050-00019/ENTITY_OV0636/v/2017-10-11T045002Z/r/image-png is given by the physical solution of the matrix equation: JOURNAL/jstp/04.02/00010029-199809050-00019/OV0429/v/2017-10-11T045002Z/r/image-png2 + zJOURNAL/jstp/04.02/00010029-199809050-00019/OV0429/v/2017-10-11T045002Z/r/image-png + π JOURNAL/jstp/04.02/00010029-199809050-00019/OV0429/v/2017-10-11T045002Z/r/image-pngJOURNAL/jstp/04.02/00010029-199809050-00019/ENTITY_OV0453/v/2017-10-11T045002Z/r/image-png = 0.

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