Abstract
The phase diagram of soft spheres with size dispersion has been studied by means of an optimized Monte Carlo algorithm which allows to equilibrate below the kinetic glass transition for all sizes distribution1. Histograming methods and Finite-Size Scaling are used to conclude that the system ubiquitously undergoes a first order freezing transition. While for small size dispersion the frozen phase has a crystalline structure, large density inhomogeneities appear in the highly disperse systems (see figure). Interestingly enough, over a wide range of polydispersities the glass transition was not preempted by the freezing transition, which should allow detailed numerical and/or experimental studies of the glass transition. Studying the interplay between the equilibrium phase diagram and the kinetic glass transition, we argue that the experimentally found terminal polydispersity of colloids is a purely kinetic phenomenon (quantitative agreement is reached with the experiments of Pusey and van Mengen 2).
1) L.A. Fernadez, V. Martin-Mayor and P. Verrocchio,
Phys. Rev. Lett. 98, 085702 (2007).\\
2) P.N. Pusey and W. van Megen, Nature 320, pag. 340 (1986).
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