1D Momentum and Energy Distribution For the one dimensional (1D) particle domain, the momentum distribution is quite different from that for 2D or 3D particle domain. There are two important reaons for this difference. First the 1D particles can interact only with their 2 initial nearest neighbors. Second, if the masses of the particles are the same then the momentum and energy distributions can never evolve, since all they can do is exchange momentum. In 2D and 3D a single particle can interact with all the particles in the interaction area or volume and this allows the momentum to migrate between orthogonal directions (px->py and vice-versa). If 1D followed 2D and 3D in its behavior and had a gaussian momentum distribution then we would expect that the energy distribution would follow from the momentum distribution f(p)dp=exp(-(p*p)/<p*p>)dp. To convert this to an energy distribution we have the convert the dp increment dp=dE/sqrt(E) so that the energy distribution would be: F(E)dE=exp(-E/<E>)/sqrt(E)dE. This represents a very poor fit for the 1D distribution, however. A better fit, used here, is exp[-sqrt(E/<E>)]/sqrt(E/<E>). Ed0 nAtoms speed mH