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Journal of Statistical Physics

, Volume 154, Issue 4, pp 1030–1056 | Cite as

Power-law Decay and the Ergodic–Nonergodic Transition in Simple Fluids

  • Paul Spyridis
  • Gene F. Mazenko
Article

Abstract

It is well known that mode coupling theory (MCT) leads to a two-step power-law time decay in dense simple fluids. We show that much of the mathematical machinery used in the MCT analysis can be taken over to the analysis of the systematic theory developed in the Fundamental Theory of Statistical Particle Dynamics (Mazenko in Phys Rev E 81(6):061102, 2010). We show how the power-law exponents can be computed in the second-order approximation where we treat hard-sphere fluids with statics described by the Percus–Yevick solution.

Keywords

Kinetic theory Ergodic-nonergodic transition Statistical mechanics  Field theory Glass transition Mode-coupling theory Stochastic dynamics 

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Department of Physics, The James Franck InstituteThe University of ChicagoChicagoUSA

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