G. Szamel - Profile on Academia.edu (original) (raw)
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Kwame Nkrumah University of Science and Technology
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Papers by G. Szamel
Europhysics Letters (EPL), 2003
We study the orientational dynamics of infinitely thin hard rods of length L, with the centers-of... more We study the orientational dynamics of infinitely thin hard rods of length L, with the centers-of-mass fixed on a simple cubic lattice with lattice constant a. We approximate the influence of the surrounding rods onto dynamics of a pair of rods by introducing an effective rotational diffusion constant D(l), l = L/a. We get D(l) ∝ [1 − υ(l)], where υ(l) is given through an integral of a time-dependent torque-torque correlator of an isolated pair of rods. A glass transition occurs at lc, if υ(lc) = 1. We present a variational and a numerically exact evaluation of υ(l). Close to lc the diffusion constant decreases as D(l) ∝ (lc − l) γ , with γ = 1. Our approach predicts a glass transition in the absence of any static correlations, in contrast to present form of mode coupling theory.
Europhysics Letters (EPL), 2003
We study the orientational dynamics of infinitely thin hard rods of length L, with the centers-of... more We study the orientational dynamics of infinitely thin hard rods of length L, with the centers-of-mass fixed on a simple cubic lattice with lattice constant a. We approximate the influence of the surrounding rods onto dynamics of a pair of rods by introducing an effective rotational diffusion constant D(l), l = L/a. We get D(l) ∝ [1 − υ(l)], where υ(l) is given through an integral of a time-dependent torque-torque correlator of an isolated pair of rods. A glass transition occurs at lc, if υ(lc) = 1. We present a variational and a numerically exact evaluation of υ(l). Close to lc the diffusion constant decreases as D(l) ∝ (lc − l) γ , with γ = 1. Our approach predicts a glass transition in the absence of any static correlations, in contrast to present form of mode coupling theory.