8th Liquid Matter Conference September 6-10, 2011 Wien, Austria ...

Thu 811:10-14:00P8.33FEL formalism of non-equilibrium statistical mechanicsand dielectric responses of a super cooled liquidTakashi Odagaki 11 Tokyo Denki University, Hatoyama, Hikigun 350-0394, Saitama, JapanWe first present a free energy landscape (FEL) formalism of statistical mechanics, which is an exactreformulation of statistical mechanicsand that can be applied to non-equilibrium systems. Then,we show that thermodynamic and dynamic anomalies at the glass transition, including the coolingrate dependence, can be understood in a unified manner which has not been achieved by any othertheories of the glass transition. Namely, we show that the vitrification is a transition from annealedto quenched averages in the FEL and that the fast beta, the Johari-Goldstein and the slow alpharelaxations are attributed to stochastic dynamics within a basin of FEL, jumping motion amonglocally connected basins and diffusive dynamics over barriers of the FEL. Exploiting a stochasticdescription of dynamics derived from the FEL formalism, we analyze linear and non-lineardielectric response of a simple model glass former, and we demonstrate that three characteristictemperatures, Vogel-Fulcher, glass transition and cross-over temperatures, can be determined fromthe analysis of the dielectric response. We define the relaxation time in three different ways andshow that they diverge at different temperatures. From the analysis of linear and non-linear dielectricresponses, we also show that the real part of the susceptibilities at the static limit becomes acusp below the cross-over temperature and its curvature changes at the glass transition temperature.33