Spatial stochasticity and non-continuum effects in gas flows

S. Kokou Dadzie*, Jason M. Reese

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We investigate the relationship between spatial stochasticity and non-continuum effects in gas flows. A kinetic model for a dilute gas is developed using strictly a stochastic molecular model reasoning. without primarily referring to either the Liouville or the Boltzmann equations for dilute gases. The kinetic equation, a stochastic version of the well-known deterministic Boltzmann equation for dilute gas, is then associated with a set of macroscopic equations for the case of a monatomic gas. Tests based on a heat conduction configuration and sound wave dispersion show that spatial stochasticity can explain some non-continuum effects seen in gases.

Original languageEnglish
Pages (from-to)967-972
Number of pages6
JournalPhysics letters a
Issue number8-9
Publication statusPublished - 6 Feb 2012


  • stochastic equation
  • Brownian motion
  • gas kinetic equation
  • mass/volume diffusion
  • sound wave propagation
  • non-continuum flow
  • transition regime
  • Boltzmann equation
  • Navier-Stokes
  • diffusive transport
  • extended hydrodynamics
  • Liouville model
  • hydrodynamics


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