Indonesian Journal of Physics (IJP)
Vol 12 No 3 (2001): Vol. 12 No.3, Juli 2001

Lattice-Gas Automata for Numerical Experimental Verification of Maxwell-Boltzmann Distribution

Siti Nurul Khotimah (Department of Physics, Institut Teknologi Bandung Jl. Ganesa 10 Bandung 40132)
Idam Arif (Department of Physics, Institut Teknologi Bandung Jl. Ganesa 10 Bandung 40132)
The Houw Liong (Department of Physics, Institut Teknologi Bandung Jl. Ganesa 10 Bandung 40132)



Article Info

Publish Date
31 Oct 2016

Abstract

Lattice-gas automata model has been applied to simulate the distribution function of gas molecules. This study shows a transition of a single-component velocity distribution from its initial non-equilibrium to its final equilibrium. The distribution is independent of time when the system reaches its equilibrium. For a sufficiently dilute gas in equilibrium, the distribution function of x-velocity component is a Maxwell-Boltzmann distribution with its average velocity component is between zero and 3% of its maximum value. This numerical experiment also obtained that the speed distribution for two-dimensional problem is a Maxwell-Boltzmann distribution. From 12 trials, average and root mean square speeds are (8.6±0.3) and (9.7±0.3) lattice units per time step respectively. We introduce a factor β to converse the unit of speed to be in meter per second. Therefore, the absolute temperature (in Kelvin) of the experiment is expressed in the mass of one molecule and Boltzmann constant as (47,1±3,2)β2 m/k.

Copyrights © 2001






Journal Info

Abbrev

ijp

Publisher

Subject

Astronomy Computer Science & IT Earth & Planetary Sciences Electrical & Electronics Engineering Energy Engineering

Description

Indonesian Journal of Physics welcomes full research articles in the area of Sciences and Engineering from the following subject areas: Physics, Mathematics, Astronomy, Mechanical Engineering, Civil and Structural Engineering, Chemical Engineering, Electrical Engineering, Geotechnical Engineering, ...