The Zeno Line for Al, Cu, and U

Area of Science:

• Materials Science
• Computational Physics
• Thermodynamics

Background:

• The Zeno line, characterized by a unit compressibility factor, is a critical property in understanding fluid behavior.
• Previous studies observed Zeno line linearity primarily in nonmetallic substances.
• Investigating metallic systems is crucial for a comprehensive understanding of Zeno line properties.

Purpose of the Study:

• To confirm the linearity of the Zeno line in liquid metals (Al, Cu, U).
• To determine Zeno line parameters for these metals using computational methods.
• To assess the validity of similarity relations between critical and Zeno line parameters in metallic systems.

Main Methods:

• Utilizing embedded atom potentials (EAM) to model inter-particle interactions.
• Performing numerical simulations via the Monte Carlo (MC) technique.
• Analyzing simulation data to identify Zeno line characteristics and parameters.

Main Results:

• The Zeno line was confirmed to be linear for liquid aluminum, copper, and uranium.
• Zeno line parameters were successfully defined for the studied metals.
• Observed similarity relations between critical and Zeno line parameters were valid for Al and Cu.
• A contradiction between simulated and experimental data for uranium was noted.

Conclusions:

• The linearity of the Zeno line is a property applicable to liquid metals like Al, Cu, and U.
• Embedded atom potentials and Monte Carlo simulations are effective tools for studying Zeno lines in metals.
• Similarity relations between critical and Zeno line parameters are generally valid for metals, with limitations observed for uranium.