Trizac Emmanuel, Levin Yan
Laboratoire de Physique Théorique, UMR CNRS 8627, Université de Paris XI, Bâtiment 210, F-91405 Orsay Cedex, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Mar;69(3 Pt 1):031403. doi: 10.1103/PhysRevE.69.031403. Epub 2004 Mar 19.
We introduce a renormalized jellium model to calculate the equation of state for charged colloidal suspensions. An almost perfect agreement with Monte Carlo simulations is found. Our self-consistent approach naturally allows to define the effective charge of particles at finite colloidal density. Although this quantity may differ significantly from its counterpart obtained from the standard Poisson-Boltzmann cell approach, the osmotic pressures for both models are in good agreement. We argue that by construction, the effective charge obtained using the jellium approximation is more appropriate to the study of colloidal interactions. We also discuss a possibility of a fluid-fluid critical point and show how our equation of state can be used to shed light on the surprising results found in recent sedimentation experiments.
我们引入一种重整化的电子气模型来计算带电胶体悬浮液的状态方程。发现与蒙特卡罗模拟结果几乎完全一致。我们的自洽方法自然地允许在有限胶体密度下定义粒子的有效电荷。尽管这个量可能与从标准泊松 - 玻尔兹曼元胞方法得到的量有显著差异,但两个模型的渗透压却吻合得很好。我们认为,通过构建,使用电子气近似得到的有效电荷更适合用于研究胶体相互作用。我们还讨论了流体 - 流体临界点的可能性,并展示了我们的状态方程如何能够用于阐明近期沉降实验中发现的惊人结果。