We examine the phase behavior of a quasi-one-dimensional system of hard squares with side-length $σ$, where the particles are confined between two parallel walls and only nearest neighbor interactions occur. As in our previous work (PRE, 94, 050603 (2016)), the transfer operator method is used, but here we impose a restricted orientation and position approximation to yield an analytic description of the physical properties. This allows us to study the parallel fluid-like to zigzag solid-like structural transition, where the compressibility and heat capacity peaks sharpen and get higher as $H \rightarrow H_c=2\sqrt{2}-1\approx 1.8284$ and $p \rightarrow p_c= \infty$. Here $H$ is the width of the channel measured in $σ$ units and $p$ is the pressure. We have found that this structural change becomes critical at the $(p_c,H_c)$ point. The obtained critical exponents belong to the universality class of the one-dimensional Ising model. We believe this behavior holds for the unrestricted orientational and positional case.
Closed-form hard-sphere thermodynamics under nanoscale confinement: from equations of state to unmixing forces
Biofisika Institute (CSIC, UPV/EHU), University of the Basque Country (UPV/EHU)（巴斯克大学（UPV/EHU）生物物理研究所）；IKERBASQUE, Basque Foundation for Science（伊克尔巴斯克，巴斯克科学基金会）；Department of Biomedical Engineering, University of California, Davis（加州大学戴维斯分校生物医学工程系）
Independent e- and m-anyon confinement in the parallel field toric code on non-square lattices
Ludwig-Maximilians-Universität München（慕尼黑大学）；Arnold Sommerfeld Center for Theoretical Physics (ASC)（阿诺德·索末菲理论物理中心）；Munich Center for Quantum Science and Technology (MCQST)（慕尼黑量子科学与技术中心）
Transfer-Matrix Study of Hard-Core Singularity for Hard-Square Lattice Gas
利用转移矩阵的数值对角化方法研究了硬正方形格子气在负逸度轴上的奇异性。通过唯象重整化技术精确地确定了奇点$z_c^-$和临界指数$ν$的位置，分别为-0.11933888188（1）和0.416667（1）.中心荷$c$和主标度维数$x_σ$分别为-4.399996（8）和-0.3999996（7）.这些结果有力地支持了该奇异性与Yang-Lee边奇异性（$c=-22/5, x_σ=-2/5 and ν=5/12$）属于同一普适类。
From Confinement to Chaos in AdS/CFT Correspondence via Non-equilibrium Local States
Steklov Mathematical Institute, Russian Academy of Sciences（俄罗斯科学院列别杰夫数学研究所）；Institute for Theoretical and Mathematical Physics, Lomonosov Moscow State University（莫斯科罗蒙诺索夫国立大学理论与数学物理研究所）
A Unified Rational-Function Approximation for Square-Well, Square-Shoulder, and Nonadditive Hard-Sphere Mixtures
Universidad de Extremadura（埃斯特雷马杜拉大学）；Instituto de Computación Científica Avanzada (ICCAEx), Universidad de Extremadura（埃斯特雷马杜拉大学先进科学计算研究所）；Instituto de Energías Renovables, U.N.A.M.（墨西哥国立自治大学可再生能源研究所）
