In this chapter, the main results from the PIMC simulations of hot,
dense hydrogen and deuterium will be discussed. We start with a brief
study of the accuracy of the pair density matrix for the isolated
hydrogen atom and molecule. Then we show results from many-particle
simulations. Special emphasis is put on the comparison of variational
and free particle nodes. The development of the VDM in
chapter 3
(Militzer and Pollock, 2000a,b) and its application as nodal surface in PIMC
simulations is one of the key points of this work. In this context, we
discuss the high temperature phase diagram and study the effects of an
improved nodal surface. We look at the pair correlation functions as
well as the permutation probabilities of the electrons. Both will be
used to review the predicted first order plasma phase transition by
Magro *et al.* (1996). It will be shown that these results do change
drastically if the VDM nodes are used instead of FP nodes. Following
this discussion, we show results for densities and temperatures where
the precise shape of the nodes is not important, discuss pressure and
internal energy, and compare with results from other models and
simulation methods. Finally, we give a detailed comparison with the
laser shock wave experiments.

- Accuracy of the Pair Density Matrix
- Phase Diagram
- Comparison of Variational and Free Particle Nodes
- Pair Correlation Functions
- Equation of State
- Shock Hugoniot