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We present a particular approach to the non-equilibrium dynamics of quantumfield theory. This approach is based on the Jaynes-Gibbs principle of themaximal entropy and its implementation, throghout the initial value data, intothe dynamical equations for Green's functions.Comment: 5 pages, 2 figures. Published in the Proceedings of the 8th Mexican  School of Particles and Fields (VIII-EMPC), Oaxaca de Juarez, Mexico, 20-28  Nov 199

One particular approach to the non-equilibrium quantum dynamics