Original title: Frenkel line of Yukawa fluids within the self-consistent relaxation theory
Ilnaz I. Fairushin, Anatolii V. Mokshin · September 2026
Liquids can act like solids when particles vibrate in place, or like gases when particles mainly wander around. The boundary where a liquid switches between these two behaviors is called the Frenkel line. Researchers wanted to pinpoint this boundary in a model called a Yukawa fluid. In this fluid, sound-like waves show a specific energy dip, called a roton minimum, only while vibrating motions dominate. Using a framework called self-consistent relaxation theory, the researchers tracked where this dip vanishes. They calculated the exact states where the transition occurs. Their results match earlier molecular dynamics simulations. Finally, they showed you can locate the Frenkel line directly using the static structure factor, which measures particle spacing, and offered a physical explanation for the dip frequency.
Imagine waiting for a bus that usually arrives at a steady interval, but one day the schedule shifts without warning. It is hard to pinpoint the exact moment of change just by watching. In this paper, the Frenkel line is like that shift point where fluid behavior changes abruptly, and the roton minimum is the sign that indicates when it happens.
Knowing where this transition occurs helps predict how fluids flow and respond to changes. This could improve models for material design and natural fluid systems.
The abstract does not say if this applies to real fluids beyond the Yukawa model. It relies on theory and simulations, with no mention of experimental validation. The study is limited to a simple model fluid.
Ask anything about this paper. Answers come from its abstract, and say so when the abstract doesn't cover your question.
Frenkel line of Yukawa fluids within the self-consistent relaxation theory — Ilnaz I. Fairushin, Anatolii V. Mokshin
Abstract licence: CC0
Explanation generated by Synthesis from the abstract — it is not the original paper. This is a preprint, so it hasn't necessarily been peer reviewed.