Newtonian Kinetic Theory and the Ergodic-Nonergodic Transition

Understand

In a recent work we have discussed how kinetic theory, the statistics of classical particles obeying Newtonian dynamics, can be formulated as a field theory.

• The field theory can be organized to produce a self-consistent perturbation theory expansion in an effective interaction potential.
• In the present work we use this development for investigating ergodic-nonergodic (ENE) transitions in dense fluids.
• The theory is developed in terms of a core problem spanned by the variables $\rho$, the number density, and $B$, a response density.