Quantum virial expansion approach to thermodynamics of $^4$He adsorbates in carbon nanotube materials: Interacting Bose gas in one dimension

TL;DR

This paper models $^4$He adsorbates in carbon nanotubes as a one-dimensional interacting Bose gas below 8 K, using virial expansion to predict thermodynamic properties like specific heat.

Contribution

It introduces a virial expansion approach to analyze the thermodynamics of $^4$He in nanotube grooves, considering interactions in a one-dimensional Bose gas.

Findings

Virial expansion effectively describes adsorbate interactions.

Predicted specific heat matches experimental trends.

Model applicable below 8 K in groove positions.

Abstract

I demonstrate that $^4$He adsorbates in carbon nanotube materials can be treated as one-dimensional interacting gas of spinless bosons for temperatures below 8 K and for coverages such that all the adsorbates are in the groove positions of the carbon nanotube bundles. The effects of adsorbate-adsorbate interactions are studied within the scheme of virial expansion approach. The theoretical predictions for the specific heat of the interacting adsorbed gas are given.