Toninelli Cristina, Biroli Giulio, Fisher Daniel S
Laboratoire Physique Théorique, Ecole Normale Supérieure, 24, rue Lhomond, 75005 Paris, France.
Phys Rev Lett. 2006 Jan 27;96(3):035702. doi: 10.1103/PhysRevLett.96.035702.
A new class of lattice gas models with trivial interactions but constrained dynamics is introduced. These models are proven to exhibit a dynamical glass transition: above a critical density rhoc ergodicity is broken due to the appearance of an infinite spanning cluster of jammed particles. The fraction of jammed particles is discontinuous at the transition, while in the unjammed phase dynamical correlation lengths and time scales diverge as exp[C(rhoc-rho)-mu]. Dynamic correlations display two-step relaxation similar to glass formers and jamming systems.
引入了一类新的晶格气体模型，其具有平凡相互作用但动力学受限。这些模型被证明呈现出动态玻璃转变：在临界密度(\rho_c)之上，由于出现无限延伸的堵塞粒子团簇，遍历性被破坏。堵塞粒子的比例在转变处是不连续的，而在非堵塞相中，动态关联长度和时间尺度以(\exp[C(\rho_c - \rho)^{-\mu}])的形式发散。动态关联显示出类似于玻璃形成体和堵塞系统的两步弛豫。
