Newtonian kinetic theory and the Ergodic-Nonergodic transition

Das, Shankar P. ; Mazenko, Gene F. (2013) Newtonian kinetic theory and the Ergodic-Nonergodic transition Journal of Statistical Physics, 152 (1). pp. 159-194. ISSN 0022-4715

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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 ρ, the number density, and B, a response density. We set up the perturbation theory expansion for studying the self-consistent model which gives rise to a ENE transition. Our main result is that the low-frequency dynamics near the ENE transition is the same for Smoluchowski and Newtonian dynamics. This is true despite the fact that term by term in a density expansion the results for the two dynamics are fundamentally different.

Item Type:Article
Source:Copyright of this article belongs to Springer-Verlag.
Keywords:Martin-Siggia-Rose (MSR) Field-theory; Newtonian Dynamics; Ergodic-nonergodic Transition; Fluctuation-dissipation Theorem
ID Code:99425
Deposited On:28 Jul 2016 12:30
Last Modified:28 Jul 2016 12:30

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