# A Path Integral Formalism for Non-equilibrium Hamiltonian Statistical Systems

@article{Kleeman2013API, title={A Path Integral Formalism for Non-equilibrium Hamiltonian Statistical Systems}, author={Richard Kleeman}, journal={Journal of Statistical Physics}, year={2013}, volume={158}, pages={1271-1297} }

A path integral formalism for non-equilibrium systems is proposed based on a manifold of quasi-equilibrium densities. A generalized Boltzmann principle is used to weight manifold paths with the exponential of minus the information discrepancy of a particular manifold path with respect to full Liouvillean evolution. The likelihood of a manifold member at a particular time is termed a consistency distribution and is analogous to a quantum wavefunction. The Lagrangian here is of modified…

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