Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A path integral formalism for non-equilibrium Hamiltonian statistical
  systems   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 generalized Onsager-Machlup form. For large
times and long slow timescales the thermodynamics is of Oettinger form. The
proposed path integral has connections with those occuring in the quantum
theory of a particle in an external electromagnetic field. It is however
entirely of a Wiener form and so practical to compute. Finally it is shown that
providing certain reasonable conditions are met then there exists a unique
steady-state consistency distribution.

16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th