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Finite-size effects in the static structure factor S ( k ) and S ( 0 ) for a two-dimensional Yukawa liquid
Journal article   Open access   Peer reviewed

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

Vitaliy Zhuravlyov, J. Goree, Paolo Elvati and Angela Violi
Physical review. E, Vol.108(3), 035211
09/2023
DOI: 10.1103/PhysRevE.108.035211

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Abstract

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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