User Tools

Site Tools


maxwell_distribution

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Next revision
Previous revision
maxwell_distribution [2019/11/18 13:34]
127.0.0.1 external edit
— (current)
Line 1: Line 1:
-====== Maxwell Distribution ====== 
- 
-The Maxwell (or Maxwell-Boltzmann) distribution gives the distribution of speeds of molecules in thermal equilibrium as given by statistical mechanics. Defining a=sqrt(kT/m), where k is the Stephan-Boltzmann constant, T is the temperature, m is the mass of a molecule, and letting x denote the speed a molecule, the probability distribution over the range x in 0,inf) is 
- 
-f(x,a) = 1/a^3//sqrt(2/pi)//x^2//exp(-x^2/(2//a^2)) 
- 
-Spiegel (1992) and von Seggern (1993) each use slightly different definitions of the constant a. 
- 
-support 0 <= x <= Inf 
- 
-^Parameter^Description  ^Default value^ 
-|a        |The parameter|1.0          | 
- 
- 
- 
- 
- 
- 
- 
- 
- 
  
maxwell_distribution.1574080457.txt.gz ยท Last modified: 2019/11/18 13:34 by 127.0.0.1