8 papers
Irrationality exponents of logarithms of positive rational numbers
Jingwen Liu, Kai Jiang, Pingwen Zhang
We study rational approximation to logarithms of positive rational numbers and give a separated-weight determinant argument for whenever $r\in\mathbb Q_{>0}\setminus\…
Phason-Driven Diversity of Nucleation Pathways in Icosahedral Quasicrystals
Gang Cui, Lei Zhang, Pingwen Zhang +2
The nucleation of quasicrystals remains a fundamental puzzle, primarily due to the absence of a periodic translational template. Here, we demonstrate that phasons - hidden degrees…
Representation of quasi-periodic functions and Hausdorff-Young inequalities for Besicovitch almost periodic functions
Aihua Fan, Kai Jiang, Pingwen Zhang
For a class of -ations and -actions on the -dimensional torus , we characterize their unique ergodicity and establish a theorem of Weyl…
Exploring transition pathways in the Landau-Brazovskii model
Zhiyi Zhang, Gang Cui, Kai Jiang +4
The Landau-Brazovskii model provides a theoretical framework for describing various phases arising from competing short- and long-range interactions in many physical systems. In th…
Phase Behaviour of X-Shaped Liquid Crystalline Molecules
Dan Wei, Zhijuan He, Yunqing Huang +2
X-shaped liquid crystalline molecules (XLCMs) are obtained by tethering two flexible end A-blocks and two flexible side B-blocks to a rigid backbone (R). A rich array of ordered st…
Stability of diverse dodecagonal quasicrystals in T-shaped liquid crystalline molecules
Xin Wang, An-Chang Shi, Pingwen Zhang +1
Quasicrystals are intriguing ordered structures characterized by the lack of translational symmetry and the existence of rotational symmetry. The tiling of different geometric unit…
Phase behavior of symmetric diblock copolymers under 3D soft confinement
Zhijuan He, Jin Huang, Kai Jiang +1
The phase behavior of symmetric diblock copolymers under three-dimensional (3D) soft confinement is investigated using the self-consistent field theory. The soft confinement is rea…
Nucleation and phase transition of decagonal quasicrystals
Tiejun Zhou, Lei Zhang, Pingwen Zhang +2
In this work, we study the nucleation of quasicrystals from liquid or periodic crystals by developing an efficient order-order phase transition algorithm, namely the nullspace-pres…