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}
}
  • R. Kleeman
  • Published 3 July 2013
  • Physics
  • Journal of Statistical Physics
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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