Statistical Average of Product of Phase Sums Arising in the Study of Disordered Lattices. I
Priyamvada Sah · Journal of Mathematical Physics · 1969
A recurrence formula is established to evaluate the statistical average 〈S(k1)S(k2) … S(kn)〉 in the limit of N → ∞, where S(k)=∑j=1Neikxj, x1,x2,…,xN, denotes the position of atoms in a disordered lattice, under the condition that interatomic distances are statistically independent and have the same probability distribution s(r).