Synergetic Theory of a Liquid-Glass Transition

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