Non-Boltzmann Heat Transfer Between a Monoatomic Gas and a Solid Nanostructure

TL;DR

This paper explores how non-Boltzmann energy distributions affect heat transfer between a monoatomic gas and a solid, revealing that such distributions can cause heat to flow from cold solids to hot gases, contrary to classical expectations.

Contribution

It derives microcanonical formulations for gas-surface interactions and validates the non-Boltzmann heat flux theory through molecular dynamics simulations, highlighting novel non-equilibrium effects.

Findings

Impinge rate increases by up to 8.5% with non-Boltzmann distributions.

Non-Boltzmann distributions can cause negative heat flux from solid to gas.

Solid can be significantly colder than the gas under certain non-equilibrium conditions.

Abstract

The effect of non-Boltzmann energy distributions on the pressure, impingement rate, and heat flux of a monoatomic gas in contact with a solid surface is investigated via theory and simulation. First, microcanonical formulations of the pressure, impingement rate, and heat flux are derived from first principles and integrated with prototypical energy distributions. Second, atomistic molecular dynamics simulations of an iron nanowire in a low-pressure argon atmosphere are used to test the non-Boltzmann heat flux theory. While pressure is found to be unaffected by the energy distribution of the gas, the impingement rate increases by up to 8.5% in the non-Boltzmann case. Most intriguing, non-Boltzmann energy distributions can lead to a negative heat flux, meaning that heat flows from the cold solid to the hot gas. This non-Boltzmann heat flux effect is validated via the molecular dynamics simulations and the solid is found to be 46% colder than the gas in case of an hypothetical equilibrium for the upper limiting non-Boltzmann energy distributions. The present fundamental findings provide novel insights into the properties of non-Boltzmann gases and improve the understanding of non-equilibrium dynamics.