发表机构
Institute for Physical Science and Technology, University of Maryland; Yeshiva University; Boston University; Institut Lumière Matière, Université Lyon 1, CNRS, Institut Universitaire de France; Department of Chemical and Biomolecular Engineering, University of Maryland(马里兰大学物理科学与技术研究所; 叶史瓦大学; 波士顿大学; 里昂第一大学物质与光研究所,法国国家科学研究中心,法国高等研究院; 马里兰大学化学与生物分子工程系)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本研究通过可互转换晶格模型和蒙特卡洛模拟,系统改变相互作用邻居数,发现增大相互作用范围使多临界行为从两种原型增至四种,并趋近平均场理论。
AI 中文摘要
分子间相互作用的范围在决定相行为和临界现象的性质中起着核心作用。通过伊辛模型的研究已经明确,随着相互作用范围的增加,由于临界涨落被抑制,蒙特卡洛模拟逐渐趋近于平均场预测。在本工作中,我们使用一个可互转换的晶格模型研究变化的相互作用范围如何影响流体多临界性,该模型同时表现出类伊辛的液-气临界性和对称的流体三临界性(类似于超流$^4$He-$^3$He混合物中的情况)。这个最小模型作为在通用框架内探索竞争临界点演化的代表性系统。我们使用平均场理论和三维蒙特卡洛模拟分析该模型,同时系统地改变相互作用邻居数$Z_n$,从6变化到388。我们发现,具有最近邻相互作用($Z_n=6$)的系统仅显示出两种类型的多临界行为,而对于更大的相互作用范围,出现了四种不同的原型。我们证明了当相互作用邻居数趋于无穷时,模拟结果收敛于平均场理论的结果,并在交叉临界现象的框架内讨论了这些结果。
英文摘要
The range of intermolecular interactions plays a central role in determining the nature of phase behavior and critical phenomena. It is well established through studies of the Ising model that as interaction range increases, Monte Carlo simulations progressively approach meanfield predictions as the effects of critical fluctuations are suppressed. In this work, we investigate how varying interaction range influences fluid multicriticality using an interconverting lattice model that exhibits both Ising-like liquid-gas criticality and symmetric fluid tricriticality (similar to that in the superfluid $^4$He-$^3$He mixture). This minimal model serves as a representative system for exploring the evolution of competing critical points within a generic framework. We analyze the model using both meanfield theory and three-dimensional Monte Carlo simulations while systematically varying the number of interacting neighbors, $Z_n$, from 6 to 388. We find that the system with nearest-neighbor interactions ($Z_n=6$) reveals only two types of multicritical behavior, while for larger interaction ranges, four distinct archetypes emerge. We demonstrate the convergence of the simulation results to those of the meanfield theory as the number of interacting neighbors tends to infinity, and we discuss the results within the framework of crossover critical phenomena.
CommentsSubmitted to Journal of Chemical Physics