02316nas a2200265   4500008004100000022001400041245008000055210006900135260000800204300001100212490000900223520150000232653001001732653000901742653002301751653002001774653002501794653001201819653002001831100001901851700002401870700002201894700003401916856010001950       2019                        eng d  a1742-546800aComparative study of a class of mean field theories of the glass transition0 aComparative study of a class of mean field theories of the glass  cAUG  a0840080 v20193 a<p>In a recently developed microscopic mean field theory, we have shown that the dynamics of a system, when described only in terms of its pair structure, can predict the correct dynamical transition temperature. Further, the theory predicted the difference in dynamics of two systems (the Lennard-Jones and the Weeks-Chandler-Andersen) despite them having quite similar structures. This is in contrast to the Schweizer-Saltzman (SS) formalism which predicted the dynamics of these two systems to be similar. The two theories although similar in spirit have certain differences. Here we present a comparative study of these two formalism to find the origin of the difference in their predictive power. We show that not only the dynamics in the potential energy surface, as described by our earlier study, but also that in the free energy surface, like in the SS theory, can predict the correct dynamical transition temperature. Even an approximate one component version of our theory, similar to the system used in the SS theory, can predict the transition temperature reasonably well. Interestingly, we show here that despite the above mentioned shortcomings the SS theory can actually predict the correct transition temperatures. Thus microscopic mean field theories of this class which express dynamics in terms of the pair structure of the liquid while being unable to predict the actual dynamics of the system are successful in predicting the correct dynamical transition temperature.</p>
10aaging10aetc)10aglasses (colloidal10aglassy dynamics10amode coupling theory10aPolymer10aslow relaxation1 aSaha, Indranil1 aNandi, Manoj, Kumar1 aDasgupta, Chandan1 aBhattacharyya, Sarika, Maitra  uhttps://library.ncl.res.in/content/comparative-study-class-mean-field-theories-glass-transition