The Study on the Boltzmann Distribution of Ideal Gas under Gravitational Field by Computer Simulation

Abstract:

In this paper, it based on the ideal gas conditions in the Maxwell velocity distribution and considering only the elastic collisions between gas molecules to study the distribution of gas molecules in the gravity field as a means of computer simulation. The simulation results show the process of molecular movement and distribution patterns. And it can be found that the distribution of gas molecules in the gravity field distribution is determined by the frequent collisions between molecules and it has nothing to do with the velocity and the initial position of molecules. In addition, the simulation also reveals the Boltzmann distribution law is a statistical regularity in terms of the large number of particles. The ideal gas elastic collision simulation software can increase intuitive awareness of students on the knowledge, and to provide an effective adjunct to consolidate what they have learned.

• Periodical: Advanced Materials Research (Volume 939)
• Pages: 584-591
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.939.584
• Online since: May 2014
• Authors: Jen Ching Huang*, Fu Jen Cheng
• Keywords: Boltzmann Distribution, Computer Simulation, Ideal Gas, Teaching, Visual Basic

References

[1] K. Oura, V. G. Lifshits, A. A. Saranin, A. V. Zotov, M. Katayama, Surface Science: An Introduction. Springer-Verlag, (2003).

[2] Peter Theodore Landsberg, Thermodynamics and statistical mechanics (Reprint of Oxford University Press 1978 ed. ), Courier Dover Publications, 1990, p.208.

[3] F. Mandl, Statistical Physics (2nd Edition), John Wiley & Sons, (2008).

[4] H.D. Young, R.A. Freedman, University Physics–With Modern Physics (12th Edition), Addison-Wesley, Pearson International, (2008).

[5] R.G. Lerner, G.L. Trigg, Encyclopaedia of Physics (2nd Edition), VHC publishers, (1991).

[6] T. D. Xue, Studies of the altitude distribution of earth's atmosphere density, Chinese Journal of Vacuum Science and Ttechnology 29 (2009) 1-8.

[7] A. E. Hedin, Extension of the MSIS Thermospheric Model into the Middle and Lower Atmosphere, J. Geophys. Res. 96 (1991) 1159-1172.

DOI: 10.1029/90ja02125

[8] Q. Li, C.X. Zheng, Z. Zhang, Computer analogy of Boltzmann distribution, Physical Experiment of College 18 (2005) 75-78.

[9] G. R. Li, The distribution of the thin gas in gravitational field: the modification to the formula of Boltzmann distribution, Journal of Changzhi University 26 (2009) 16-18.

[10] Jen-Ching Huang, Evaluation of Tribological Behavior of Al-Co-Cr-Fe-Ni High Entropy Alloy using Molecular Dynamics Simulation, Scanning 34 (2012) 325-334.

DOI: 10.1002/sca.21006