Abstract
Abstract A general framework for investigating the glassy dynamics of the dense hard sphere system is presented. The exact microscopic evolution equations are first contracted to a master equation for the probability density of a small number of relevant fields (local conserved densities, order parameters). Above the freezing density the stationary solution to the master equation has many local maxima, corresponding to a stable crystal state and a variety of metastable liquid, crystal, and amorphous states. The dynamic probability functional is decomposed into contributions associated with these stationary maxima. Around the liquid and crystal equilibrium states the Fokker-Planck limit applies, yielding hydrodynamic and elasticity descriptions, respectively, including mode coupling effects. For deeply quenched amorphous metastable states a transition state phenomenology is proposed to describe configurational rearrangement. This results in a coupled set of equations describing both diffusive and activated...
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
