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; Angela Violi

doi:10.1103/PhysRevE.108.035211

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

Phys Rev E. 2023 Sep;108(3-2):035211. doi: 10.1103/PhysRevE.108.035211.

Authors

Vitaliy Zhuravlyov¹, J Goree¹, Paolo Elvati², Angela Violi²

Affiliations

¹ Department of Physics and Astronomy, University of Iowa, Iowa City, Iowa 52242, USA.
² Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA.

PMID: 37849136
DOI: 10.1103/PhysRevE.108.035211

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 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. The amorphous substance we simulate is a two-dimensional liquid, with a soft Yukawa interaction modeling a dusty plasma experiment.