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Title Synergetic Theory of a Liquid-Glass Transition
Authors Khomenko, Oleksii Vitaliiovych  
Oliemskoi, Oleksandr Ivanovych
ORCID http://orcid.org/0000-0001-8755-9592
Keywords liquid-glass transition
shear components of elastic stress and strain
viscoelastic medium
Lorenz system
shear modulus
cooling rate
Type Article
Date of Issue 1998
URI http://essuir.sumdu.edu.ua/handle/123456789/16202
Publisher Journal of physical studies
License
Citation A.I. Olemskoi, A.V. Khomenko. Synergetic Theory of a Liquid-Glass Transition // Journal of physical studies, Vol. 2, No. 2, pp. 167-174 (1998)
Abstract We represent a liquid-glass transition as the spontaneous appearance of the elastic fields of stress and strain shear components that is caused by the cooling of a liquid with a rate that is higher than the critical value. The kinetics of a liquid-glass transition is described by the equations coinciding formally with the synergetic Lorenz system where the strain acts as the order parameter, the conjugate field is reduced to the elastic stress, and the temperature is as the control parameter. Using the adiabatic approximation we find the steady-state values of these quantities and the effective relaxation time. Taking into account the strain defect of the shear modulus we show that the process of a liquid-glass transition is realized according to the mechanism of a first-order transition. The critical rate of the cooling turns out proportional to the thermometric conductivity and the nonrelaxed shear modulus value as well as inversely proportional to the temperature defect of the relaxed modulus and the square of the heat conductivity distance of a sample. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/16202
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