Onsagerʹs regression and the field theory of parabolic transport processes

On the basis of a Hamiltonian and canonical formalism of simple parabolic transport processes the action for short time intervals can be calculated. In the knowledge of action, we can examine the stochastic behavior of these processes and we conclude that these are Markovian in the space of canonical variables. The constructed Poisson structure gives us an opportunity to calculate Onsagerʹs regression hypothesis.