Uniform Asymptotics in the Problem of Superfluidity of Classical Liquids in Nanotubes

TL;DR

This paper extends previous work on classical liquid superfluidity in nanotubes by removing the earlier assumption relating particle number and capillary radius, providing a more general theoretical framework.

Contribution

It introduces a uniform asymptotic analysis that does not rely on the previous assumptions about parameters N and r.

Findings

Superfluidity proved without the previous parameter constraints

Generalized the theoretical understanding of classical liquid behavior in nanotubes

Enhanced the mathematical framework for superfluidity analysis

Abstract

In the preceding papers (see [1, 2]), the superfluidity of the classical liquid was proved under the assumption that the parameters $N$ and $r$, where $N$ is the particle number and $r$ it the capillary radius, tend respectively to infinity and to zero so that $\frac 1N \ll \frac rR$, where $R$ is the capillary length. In the present paper, this assumption is removed.