We investigate the possibility of gaining energy from nuclear fusion reactions using different mixtures of D, T and 6 Li. First, a plasma in equilibrium is studied at different densities and temperatures. In a second, highly non equilibrium case, the plasma is at high densities and excitation energies. While the first case could lead to an energy gain especially when coupled to an accelerator, in the second case the energy given to the system might be larger than the output energy even for a D+T plasma. This is due to the small number of particles which can be treated numerically. Furthermore, there is a possible double counting between the elementary fusion cross section and the exact Coulomb potential used in the calculations. §1. Introduction A way of producing energy is by means of nuclear fusion reactions. Such reactions naturally occur in stars and essentially consist of fusion of light elements such as Deuterium (D), Tritium (T), 3He and so on. 1) Reactions involving D+T have a large efficiency and are mostly studied and proposed as a way to produce energy. 2) However, there are some shortcomings for such a proposal. While D can be found easily in water, T is radioactive, very dangerous to handle and must be produced via n+Li reactions. Furthermore in D+T reactions, 14 MeV neutrons are produced which are of damage to the reactors and generate large quantities of radioisotopes. Even though, using low activation materials, the neutrons damage could be reduced, it would be better to avoid T as a main fuel ingredient. Alternatives have been proposed 3) such as D + 3 He 4) or p+ 11 B in Colliding Beam Fusion Reactors-CBFR. 5) There are essentially two routes studied nowdays to produce energy. In the first one a plasma is confined through strong magnetic fields at a given temperature θ and density ρ. This is like a boiling pot where from time to time some nuclear fusion occurs and energy is produced. In order to get more energy output than input, the θ and/or ρ must be very high. In such conditions, the plasma becomes highly chaotic and even turbulences set in. The confining fields are not strong enough to hold the plasma for a very long time.A completely different route to fusion is through the use of lasers. 6) One or more powerful lasers are used to compress and ignite a pellet of fuel. 7) Problems as confinement are avoided, however the time of compression is short, thus it might be difficult to gain energy from such a method even using the D+T fuel.Because of the many uncertainties discussed above, theoretical simulations are highly desirable in order to shed some light on the matter. Simulations exist based on hydrodynamics or kinetic approaches. 1), 6) Such approaches deal very often with the atomic or macroscopic (from the nuclear point of view) dynamics of the plasma. typeset using PTPT E X.cls Ver.0.89