Department of Theory and Bio-Systems, Max Planck Institute of Colloids and Interfaces, Science Park Golm, 14424 Potsdam, Germany.
Langmuir. 2012 Feb 28;28(8):3831-9. doi: 10.1021/la204757z. Epub 2012 Feb 16.
We studied the interfacial tension between coexisting phases of aqueous solutions of dextran and polyethylene glycol. First, we characterized the phase diagram of the system and located the binodal. Second, the tie lines between the coexisting phases were determined using a method that only requires measuring the density of the coexisting phases. The interfacial tension was then measured by a spinning drop tensiometer over a broad range of polymer concentrations close to and above the critical point. In this range, the interfacial tension increases by 4 orders of magnitude with increasing polymer concentration. The scaling exponents of the interfacial tension, the correlation length, and order parameters were evaluated and showed a crossover behavior depending on the distance to the critical concentration. The scaling exponent of the interfacial tension attains the value 1.50 ± 0.01 further away from the critical point, in good agreement with mean field theory, but the increased value 1.67 ± 0.10 closer to this point, which disagrees with the Ising value 1.26. We discuss possible reasons for this discrepancy. The composition and density differences between the two coexisting phases, which may be taken as two possible order parameters, showed the expected crossover from mean field behavior to Ising model behavior as the critical point is approached. The crossover behavior of aqueous two-phase polymer solutions with increasing concentration is similar to that of polymer solutions undergoing phase separation induced by lowering the temperature.
我们研究了葡聚糖和聚乙二醇水溶液共存相之间的界面张力。首先,我们对该体系的相图进行了表征,并确定了拐点。其次,我们采用一种仅需测量共存相密度的方法来确定共存相之间的 tie 线。然后,我们使用旋转滴张力计在接近和高于临界点的宽聚合物浓度范围内测量界面张力。在这个范围内,界面张力随聚合物浓度的增加增加了 4 个数量级。评估了界面张力、相关长度和序参量的标度指数,并表现出与到临界浓度的距离有关的交叉行为。当远离临界点时,界面张力的标度指数达到 1.50 ± 0.01,与平均场理论吻合较好,但更接近临界点时,标度指数增加到 1.67 ± 0.10,与伊辛值 1.26 不符。我们讨论了这种差异的可能原因。两个共存相之间的组成和密度差异,可以看作是两个可能的序参量,它们表现出从平均场行为到伊辛模型行为的预期交叉,随着临界点的接近。随着浓度的增加,水相两相间聚合物溶液的交叉行为与通过降低温度引发相分离的聚合物溶液的交叉行为相似。