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

Area of Science:

• Condensed matter physics
• Statistical mechanics
• Computational physics

Background:

• Finite-size effects are crucial in accurately characterizing the structure of amorphous materials.
• The static structure factor S(k) provides insights into particle correlations but is sensitive to system size.

Purpose of the Study:

• To analyze and quantify finite-size effects on the static structure factor S(k) in amorphous substances.
• To develop accurate models for these effects and propose correction methods.

Main Methods:

• Simulations of a two-dimensional liquid with soft Yukawa interactions.
• Analysis of the static structure factor S(k) at varying particle numbers.
• Application of the Binder formula and an empirical formula for S_{peak}.

Main Results:

• A significant increase in S(0) (up to an order of magnitude) with decreasing particle number.
• A notable decrease in the height of the first peak, S_{peak}.
• Accurate modeling of these effects using established and new empirical formulas.

Conclusions:

• Finite-size effects necessitate corrections for accurate S(k) data and hyperuniformity index H.
• The proposed methods are applicable to S(k) data from various noncrystalline substances.
• Understanding these effects is vital for interpreting experimental and simulation data in condensed matter systems.