## Abstract

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 language | English |
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Pages (from-to) | 967-972 |

Number of pages | 6 |

Journal | Physics letters a |

Volume | 376 |

Issue number | 8-9 |

DOIs | |

Publication status | Published - 6 Feb 2012 |

## Keywords

- 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