13.5 Statistical Methods of a Molecular System
We now consider the case of dealing with the statistics of the motion of an assembly of weakly interacting like particles such as molecules of a perfect gas. The argument holds good for any dynamical system may it be the oscillators in a black body radiation, velocity distribution of the molecules of a gas. There are various ways of attacking the problem, but we shall adopt the method of statistical distribution due to Maxwell and Boltzmann which is the simplest and historically the oldest.
The dynamical situation of a particle is decided by its positional coordinates x, y, z, and velocity coordinates or better momenta px = mvx, py = mvy, pz = mvz where it seems vx,vy, vz are the velocity co-ordinates ...
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