Noise and fluctuations in nanoscale gas flow

Abstract

We theoretically calculate the fundamental noise that is present in gaseous (dilute fluid) flow in channels in the classical and degenerate quantum regime, where the Fermi-Dirac and Bose- Einstein distribution must be considered. Results for both regimes are analogous to their electrical counterparts. The quantum noise is calculated for a two terminal system and is a complicated function of the thermal and shot noise with the thermal noise dominating when $2k_{B}T>>m\Delta P$ and vice versa. The cumulant generating function for mass flow, which generates all the higher order statistics related to our mass flow distribution, is also derived and is used to find an expression for the third cumulant of flow across a fluidic channel.

References in corpus (12)

• Precise and ultrafast molecular sieving through graphene oxide membranes
• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Fluids at the Nanoscale: from continuum to sub-continuum transport
• Ballistic molecular transport through two-dimensional channels
• Observation of Quantized Conductance in Neutral Matter
• Knudsen Diffusion in Silicon Nanochannels
• Experimental Test of the High-Frequency Quantum Shot Noise Theory in a Quantum Point Contact
• Local Superfluidity at the Nanoscale
• Flow Conductance of a Single Nanohole
• Conductance and Shot Noise for Particles with Exclusion Statistics
• Critical Flow and Dissipation in a Quasi-One-Dimensional Superfluid
• Quantum-limited mass flow of liquid ${}^3$He