A quantum field theory of entropy and specific heat near the liquid-glass transition

The Kauzmann paradox is elucidated considering the intraband and interband fluctuation entropies. The intraband fluctuation entropy negatively diverge s at the Kauzmann temperature in the form of the Curie law, but the interba nd fluctuation entropy crosses at the liquid-glass transition temperature a nd defends from the entropy crisis. The specific heat due to the intraband fluctuation entropy increases in the squared form of the Curie law till the glass transition as the temperature decreases; the contribution of fragile liquids is larger than that of strong liquids. The specific heat of sound and phonons is also calculated. (C) 2001 Elsevier Science B.V. All rights r eserved.