Calculation of Maxwell Boltzmann Distribution
※Distribution for the speed.

Keyword

Maxwell Boltzmann distribution,Probability density function,Cumulative distribution function,Mass of the particle,Equilibrium temperature,Velocity of the particle,Boltzmann constant.

Reference

[1]:『ケンブリッジ物理公式ハンドブック』(Graham Woan).
[2]:『Wikipedia』.
[3]:Boltzmann constant.

Remarks

・PDF(C)=(m/(2*π*k*T))^(3/2)*e^(-m*c^2/(2*k*T))*4*π*c^2.
・Cumulative Distribution Function is calculated by integration of Probability Density Function using Simpson's rule.Therefore,it contains error.
・Simpson's rule:∫[x0~x2]f(x)≈h/3*[f(x0)+4*f(x1)+f(x2)].h=(x2-x0)/2.x1=(x0+x2)/2.

History

・2009/08/26:BugFix.
・2009/08/25:Upload.