Studies of Ordered Monodisperse Latexes. II. Theory of Mechanical Properties

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Copyright (c) 1978 The Japan Society of Applied Physics
, , Citation Toshiya Ohtsuki et al 1978 Jpn. J. Appl. Phys. 17 627 DOI 10.1143/JJAP.17.627

1347-4065/17/4/627

Abstract

The electrostatic potential around a particle in an ordered latex under a deformation is numerically calculated form the nonlinear Poisson-Boltzmann equation by an eccentric cell model. The static rigidity of an ordered latex and the order-disorder Lindemann's law of the crystal melting are obtained from the calculated potential. The calculated phase diagram agrees with the experimental phase diagram of Hachisu et al. The Debye-Hückel approximation turns out to be invalid at low ionic concentrations. On the basis of a two-continua model and the calculated static rigidity, propagation of shear waves in an ordered latex is studied and the existence of two kinds of modes is shown. The dynamical complex rigidity is calculated from the mechanical impedance at an oscillating plate. The results agree with the experiment reported in a previous paper.

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10.1143/JJAP.17.627