Stopper Daniel, Hansen-Goos Hendrik, Roth Roland, Evans Robert
Institute for Theoretical Physics, University of Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany.
H. H. Wills Physics Laboratory, University of Bristol, Royal Fort, Bristol BS8 ITL, United Kingdom.
J Chem Phys. 2020 Mar 21;152(11):111101. doi: 10.1063/1.5141059.
For a standard model of patchy colloidal fluids with patch number M = 2, where chain formation (polymerization) occurs, we show that Wertheim theory predicts critical behavior at vanishing density and temperature. The analysis is based on determining lines in the phase diagram of maximal correlation length and compressibility. Simulation studies identify the latter line and confirm our prediction of Fisher-Widom crossover, i.e., the asymptotic decay of the pair correlation function changes from monotonic to damped oscillatory as the density is increased. For M > 2, it is known that phase separation occurs with a true critical point. Our results support the notion that a "disappearing" critical point occurs in the limit M = 2 and we uncover its remnants.
对于具有补丁数(M = 2)的斑状胶体流体的标准模型，其中会发生链形成（聚合），我们表明韦特海姆理论预测在零密度和温度下的临界行为。该分析基于确定相图中最大相关长度和压缩性的线。模拟研究确定了后一条线，并证实了我们对费希尔 - 威多姆交叉的预测，即随着密度增加，对关联函数的渐近衰减从单调变为阻尼振荡。对于(M > 2)，已知会出现具有真正临界点的相分离。我们的结果支持这样一种观点，即在(M = 2)的极限情况下会出现一个“消失”的临界点，并且我们揭示了它的残余特征。
