Finite-size effects in the static structure factor S(k) and S(0) for a two-dimensional Yukawa liquid

V Zhuravlyov and J Goree and P Elvati and A Violi, PHYSICAL REVIEW E, 108, 035211 (2023).

DOI: 10.1103/PhysRevE.108.035211

Finite-size effects in the static structure factor S(k) are analyzed for an amorphous substance. As the number of particles is reduced, S(0) increases greatly, up to an order of magnitude. Meanwhile, there is a decrease in the height of the first peak Speak. These finite-size effects are modeled accurately by the Binder formula for S(0) and our empirical formula for Speak. Procedures are suggested to correct for finite-size effects in S(k) data and in the hyperuniformity index H = S(0)/Speak. These principles generally apply to S(k) obtained from particle positions in noncrystalline substances. The amorphous substance we simulate is a two-dimensional liquid, with a soft Yukawa interaction modeling a dusty plasma experiment.

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