title: Transition state theory and the dynamics of hard disks.
abstract: The dynamics of two- and five-disk systems confined in a square has been studied using molecular dynamics simulations and compared with the predictions of transition state theory. We determine the partition functions Z and Z(‡) of transition state theory using a procedure first used by Salsburg and Wood for the pressure. Our simulations show this procedure and transition state theory are in excellent agreement with the simulations. A generalization of the transition state theory to the case of a large number of disks N is made and shown to be in full agreement with simulations of disks moving in a narrow channel. The same procedure for hard spheres in three dimensions leads to the Vogel-Fulcher-Tammann formula for their alpha relaxation time.
authors: School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.
authors: M
authors: M
authors: Barnett-Jones
authors: School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.
authors: P A
authors: PA
authors: Dickinson
authors: School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.
authors: M J
authors: MJ
authors: Godfrey
authors: School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.
authors: T
authors: T
authors: Grundy
authors: School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, UK.
authors: M A
authors: MA
authors: Moore