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

Zhuravlyov, Vitaliy; Goree, J.; Elvati, Paolo; Violi, Angela

doi:10.1103/physreve.108.035211

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

Journal Article · Thu Sep 21 00:00:00 EDT 2023 · Physical Review. E

DOI:https://doi.org/10.1103/physreve.108.035211· OSTI ID:2001518

^[1];

^[1]; Elvati, Paolo ^[2]; Violi, Angela ^[2]

University of Iowa, Iowa City, IA (United States)
University of Michigan, Ann Arbor, MI (United States)

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 S peak. These finite-size effects are modeled accurately by the Binder formula for S(0) and our empirical formula for S peak. Procedures are suggested to correct for finite-size effects in S(k) data and in the hyperuniformity index H ≡ S(0)/S peak. These principles generally apply to S(k) obtained from particle positions in noncrystalline substances. As a result, the amorphous substance we simulate is a two-dimensional liquid, with a soft Yukawa interaction modeling a dusty plasma experiment.

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Research Organization:: Univ. of Iowa, Iowa City, IA (United States)

Sponsoring Organization:: USDOE; Army Research Office (ARO)

Grant/Contract Number:: SC0014566; W911NF-18-1-0240

OSTI ID:: 2001518

Journal Information:: Physical Review. E, Vol. 108, Issue 3; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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

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