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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

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Equilibrium properties in a harmonically confined two-component log gas.

Saikat Santra¹

¹Tata Institute of Fundamental Research, University of Warsaw, Faculty of Physics, Pasteura 5, 02-093 Warsaw, Poland and International Centre for Theoretical Sciences, Bengaluru 560089, India.

Physical Review. E

|May 16, 2026

Summary

A two-component log gas system with two particle types can be simplified to a single-component system. This effective mapping, useful for studying particle interactions in harmonic traps, is validated by density profile and spacing distribution simulations.

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Area of Science:

Statistical Mechanics
Condensed Matter Physics
Quantum Gases

Background:

Logarithmic potentials are crucial in describing systems with long-range interactions.
Two-component systems offer complex interaction dynamics not seen in single-component systems.
Understanding particle behavior in harmonic traps is fundamental in atomic physics.

Purpose of the Study:

To investigate the behavior of a two-component log gas in a one-dimensional harmonic trap.
To develop an effective mapping from a two-component system to a single-component system.
To analyze the impact of intraspecies and interspecies interactions on system properties.

Main Methods:

Theoretical analysis of a two-component log gas model.
Derivation of an effective interaction strength formula.
Monte Carlo simulations to validate the mapping.

Main Results:

An effective interaction strength Jf was derived, simplifying the two-component system to a single-component one.
The derived mapping accurately predicts system behavior.
Simulations confirmed the mapping's validity for average density profiles and particle spacing distributions at low temperatures.

Conclusions:

The two-component log gas in a harmonic trap can be effectively reduced to a single-component system.
This simplification provides a powerful tool for analyzing complex interacting particle systems.
The findings have implications for understanding quantum gases and statistical mechanics models.