# Hamiltonian formalism and path entropy maximization

@article{Davis2014HamiltonianFA, title={Hamiltonian formalism and path entropy maximization}, author={Sergio M. Davis and Diego L. Gonz'alez}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2014}, volume={48} }

Maximization of the path information entropy is a clear prescription for constructing models in non-equilibrium statistical mechanics. Here it is shown that, following this prescription under the assumption of arbitrary instantaneous constraints on position and velocity, a Lagrangian emerges which determines the most probable trajectory. Deviations from the probability maximum can be consistently described as slices in time by a Hamiltonian, according to a nonlinear Langevin equation and its…

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