Fundamental Theory of Statistical Particle Dynamics
arXiv:0905.4904 · doi:10.1103/PhysRevE.81.061102
Abstract
We introduce a fundamental theory for the kinetics of systems of classical particles. The theory represents a unification of kinetic theory, Brownian motion and field theory. It is self-consistent and is the dynamic generalization of the functional theory of static equilibrium fluids. This gives one a powerful tool for investigating the existence of ergodic-nonergodic transitions near the liquid-glass transition.
47 pages, 3 appendices
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- Resummed Kinetic Field Theory: a model of coupled baryonic and dark matter
- Kinetic Field Theory: Higher-Order Perturbation Theory
- A numerical study of longtime dynamics and ergodic-nonergodic transitions in dense simple fluids
- Power-law Decay and the Ergodic-Nonergodic Transition in Simple Fluids
- A Mechanical Approach to One-Dimensional Interacting Gas
- Kinetic field theory: Non-linear cosmic power spectra in the mean-field approximation
- Universal Longtime Dynamics in Dense Simple Fluids