Hard spheres mixed with penetrable hard spheres display an isostructural solid–solid transition. This phase transition is fully driven by the entropy gain of the depletants without invoking explicit pair potentials between the colloidal particles. The solid–solid phase coexistence terminates at a critical endpoint with a size ratio $q\approx 0.09$. Colloid–polymer mixtures are an excellent candidate for the experimental realization of this intricate solid–solid transition, first predicted by Bolhuis and Frenkel for hard spheres with short range pair attractions [PRL 72, 2211–2214 (1994)].

中文翻译：

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胶体-聚合物混合物的同构固-固共存

硬球与可穿透硬球的混合显示出同构的固体-固体过渡。该相变完全由耗尽剂的熵增益驱动，而无需在胶体粒子之间调用显式的成对电势。固-固共存终止于一个临界点，其大小比$q\approx 0.09$。胶体聚合物混合物对于实验实现这一复杂的固-固转变的优良候选者，首先由Bolhuis和弗伦凯尔预测用于与短距离对景点硬球[PRL 72，2211年至2214年（1994）]。