Ideal glass transitions by random pinning.

ABSTRACT: We study the effect of freezing the positions of a fraction c of particles from an equilibrium configuration of a supercooled liquid at a temperature T. We show that within the random first-order transition theory pinning particles leads to an ideal glass transition for a critical fraction c = c(K)(T) even for moderate supercooling; e.g., close to the Mode-Coupling transition temperature. First we derive the phase diagram in the T - c plane by mean field approximations. Then, by applying a real-space renormalization group method, we obtain the critical properties for |c - c(K)(T)| → 0, in particular the divergence of length and time scales, which are dominated by two zero-temperature fixed points. We also show that for c = c(K)(T) the typical distance between frozen particles is related to

SUBMITTER: Cammarota C 

PROVIDER: S-EPMC3384138 | biostudies-literature | 2012 Jun

REPOSITORIES: biostudies-literature