MandysNotes

The Maxwell Distribution

The Maxwell Distribution (1)

Saturday, 17 May 2014 00:00

The Maxwell Distribution

By

GaussianIntegral

 

 

Suppose we are given a certain quantity of an ideal gas at some fixed temperature, and we want to know what sort of distribution of velocities to associate with this gas.
That is, given a range of velocities, \[\Delta v = v_\beta - v_\alpha, \]
what is the number of molecules, \[\Delta n,  \]with velocities in the region of phase space \[\Delta v= \Delta v_x \Delta v_y \Delta v_z? \]

NOTRad