Abstract
In this communication, we present an operator that governs the discrete time evolution of the velocity distribution of an out-of-equilibrium ideal gas. This nonlinear map, which conserves the momentum and the energy of the ideal gas, has the Maxwellian velocity distribution (MVD) as an asymptotic equilibrium. All these properties are presented in this communication.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Boltzmann, L.: Lectures on Gas Theory (translated by S.G. Brush). Dover Publications, New York (1995)
Lopez, J.L., Lopez-Ruiz, R., Calbet, X.: Exponential wealth distribution in a random market: A rigorous explanation. J. Math. Anal. Appl. 386, 195–204 (2012); also at arXiv:1103.5703 (2011)
Lopez-Ruiz, R., Lopez, J.L., Calbet, X.: Exponential wealth distribution: A new approach from functional iteration theory. In: ESAIM Proceedings, ECIT-2010 Conference, September (2010); also at arXiv:1103.1501 (2011)
Maxwell, J.C.: The Scientific Papers of James Clerk Maxwell (ed. by Niven, W.D.). Paper Number XX, vol. I, II. Dover Publications, New York (2003)
Shivanian, E., Lopez-Ruiz, R.: A new model for ideal gases: Decay to the Maxwellian distribution. Physica A 391, 2600–2607 (2012); also at arXiv:1105.4813 (2011)
Yakovenko, V.M.: Econophysics, statistical mechanics approach to. In: Meyers, R.A. (ed.) Encyclopedia of Complexity and System Science. Springer, Berlin (2009)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Science+Business Media New York
About this paper
Cite this paper
López-Ruiz, R., Shivanian, E. (2014). A Nonlinear Map for the Decay to Equilibrium of Ideal Gases. In: Grácio, C., Fournier-Prunaret, D., Ueta, T., Nishio, Y. (eds) Nonlinear Maps and their Applications. Springer Proceedings in Mathematics & Statistics, vol 57. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-9161-3_13
Download citation
DOI: https://doi.org/10.1007/978-1-4614-9161-3_13
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-9160-6
Online ISBN: 978-1-4614-9161-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)