Abstract: A short review of the temperature behavior of liquids viscosity will be provided. The concept of anankeon as a new degree of freedom will be described and its relation with elastic degrees of freedom discussed. Then a simplistic solvable model, based on a Stochastic Markov dynamics, will be proposed and the solution explained and discussed. One consequence is the prediction that in a certain subclass of liquids, there is a bifurcation leading to a new time scale, the Maxwell time, which is able to explain the exponential increase of the viscosity near the liquid-solid transition. A comparison with numerical simulations using molecular dynamics will be discussed.