A new model for ideal gases. Decay to the Maxwellian distribution

Elyas Shivanian and Ricardo López-Ruiz

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 8, 2600-2607

Abstract: In this work, a new model in kinetic gas theory for deriving the Maxwellian velocity distribution (MVD) is proposed. We construct an operator that governs the discrete time evolution of the velocity distribution. This operator, which conserves the momentum and the energy of the ideal gas, has the MVD as a fixed point. Moreover, for any initial out-of-equilibrium velocity distribution, it is shown that the gas decays to the equilibrium distribution, that is, to the MVD.

Keywords: Gas theory; Maxwellian velocity distribution; Random models; Statistical equilibrium (search for similar items in EconPapers)
Date: 2012
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:8:p:2600-2607

DOI: 10.1016/j.physa.2011.12.041

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