Phenomenological equations of the glass transition in liquids

The paper presents a theoretical analysis of the glass transition. It is demonstrated that the kinetics of glass transition is described by the following equations: the Maxwell equation of a viscoelastic medium; the equation of elastic relaxation, which, in addition to the usual Debye term, involves a nonlinear term due to the positive feedback between the strain field and temperature; and the equation of specific heat continuity, in which the entropy term includes the contribution of elastic fields and the heat flux contains a term related to external cooling. These equations are analogous to the Lorenz synergetic system, in which the strain plays the role of an order parameter, the conjugate field reduces to elastic stresses, and the temperature is a controlling parameter.