Unifying reciprocal and real space atomic dynamics in dilute gases

Abstract

In solids, quanta of atomic vibrations are identified in reciprocal space by their frequency and wavevector as phonons. At the opposite end of the matter spectrum, dynamics of dilute gases is conventionally described in terms of atomic or molecular collisions and translations in real space and time. These two formalisms are apparently incompatible, leading to difficulties in understanding atomic dynamics in intermediate matter. In this work, we demonstrate that normal modes, often synonymously considered as phonons in solids, provide a microscopic description of various transport processes, including thermal conductivity, diffusion coefficient, and shear viscosity, in a prototypical dilute gas, argon. Our results bridge the conceptual divide between solid and gas phase descriptions and establish normal modes as a unifying framework for atomic dynamics well beyond crystalline solids.