Article
Mathematics
Xiaoling Zhang, Xuesong Zhang, Mengke Wu
Summary: This paper investigates conformal transformations between two almost regular general (alpha,beta)-metrics. The necessary and sufficient conditions for conformal transformations preserving the mean Landsberg curvature are obtained by using the method of special coordinate system. Furthermore, a rigidity theorem for regular general (alpha,beta)-metrics is proved.
Article
Physics, Multidisciplinary
Chao Yin, Zhenhuan Liu
Summary: We calculate the entanglement between two intervals in the ground state of a (1 + 1)-dimensional conformal field theory using a computable cross norm (CCNR) measure called E. Unlike other measures, E has a universal expression that depends only on the geometry, central charge c, and thermal partition function of the CFT, even for disjoint intervals. We prove this expression using the replica approach and find that the Riemann surface for calculating E is always topologically equivalent to a torus. Numerical verification is done in the spin-1/2 XXZ chain, confirming our findings in the Luttinger liquid.
PHYSICAL REVIEW LETTERS
(2023)
Article
Multidisciplinary Sciences
A. Dyachenko, S. A. Dyachenko, P. M. Lushnikov, V. E. Zakharov
Summary: The potential motion of an ideal incompressible fluid is considered in two-dimensional geometry, which can be fully characterized by the motion of complex singularities in the analytical continuation of conformal mapping and complex velocity. In a short branch cut approximation, the fluid dynamics reduce to the complex Hopf equation for complex velocity coupled with the complex transport equation for conformal mapping. The solutions of these equations involve moving square root branch points and poles, showing excellent agreement with simulations of the fully nonlinear Eulerian dynamics.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2021)
Article
Chemistry, Physical
Yuliang Shi, Mohammad R. Momeni, Yen-Jui Chen, Dil K. Limbu, Zeyu Zhang, Farnaz A. Shakib
Summary: This study investigates the intrinsic flexibility and dynamical motions of conductive 2D metal-organic frameworks (MOFs) and their effect on physical and chemical properties. The results show that a certain MOF has a higher tendency for water attack and hydrolysis, which can be attributed to the difference in the configuration and charge properties of the metal centers. This research provides insights for designing more robust water-stable materials with desired properties and applications.
CHEMISTRY OF MATERIALS
(2022)
Article
Chemistry, Multidisciplinary
Jinghan Wang, Sol A. Lee, Ho Won Jang, Mohammadreza Shokouhimehr
Summary: This article discusses the application of 2D nanostructured catalysts in enhancing organic transformations, highlighting the synthesis, advantages, challenges, efficiency, and reusability of introduced heterogeneous catalysts for cross-coupling and reduction reactions.
Article
Astronomy & Astrophysics
Felix M. Haehl, Wyatt Reeves, Moshe Rozali
Summary: In this article, we study quantum chaotic conformal field theories (CFTs) that exhibit linear growth of the spectral form factor, which indicates universal repulsion of energy levels. We find that the spectral correlations and the subleading corrections to the linear growth are determined by the Kuznetsov trace formula, highlighting the intricate interplay between the universal physical properties of chaotic CFTs and analytic number theory. The trace formula reveals that the simplest CFT correlations consistent with quantum chaos are precisely those described by a Euclidean wormhole in AdS3 gravity with [torus] x [interval] topology. We also discuss examples of nonchaotic CFTs in this framework.
Article
Physics, Multidisciplinary
Alexander J. H. Houston, Gareth P. Alexander
Summary: This article addresses the challenge of harnessing the non-equilibrium dynamics in active systems. It presents a method for designing colloids with controllable spontaneous propulsion or rotation in active nematics. The study identifies two regimes of behavior for chiral cogs and provides design principles for achieving desired rotational dynamics in active nematic colloids.
NEW JOURNAL OF PHYSICS
(2023)
Article
Astronomy & Astrophysics
Yuya Kusuki
Summary: This article explores the averaging over boundary conditions in two-dimensional boundary conformal field theories. The study reveals that the averaging not only generates wormhole contributions, but also solves the issue of intersections in unphysical solutions. These findings provide evidence for the role of averaging in reproducing Einstein gravity and propose its potential as a BCFT dual of the island model.
Article
Engineering, Mechanical
Kai Wan
Summary: This paper focuses on the ILC problem for the 2-D LDS General model with nonidentical boundary states, proposing a modified ILC law under a three-dimensional framework. By utilizing 2-D LDS stability theory, perfect tracking on the 2-D desired surface trajectory except the boundaries can be achieved. Additionally, the ILC convergence analysis for the 2-D LDS General model with direct transmission from inputs to outputs is discussed, supported by two illustrative examples to demonstrate the effectiveness and feasibility of the presented ILC approach.
NONLINEAR DYNAMICS
(2021)
Article
Mathematics
Shiguang Ma, Jie Qing
Summary: In this paper, we extend Huber's finite point conformal compactification theorem to general dimensions based on the n-Laplace equation in conformal geometry. We prove that a domain in the round sphere must be the sphere with finitely many points deleted if it can have a complete conformal metric with the negative part of the smallest Ricci curvature satisfying certain integrable conditions.
ADVANCES IN MATHEMATICS
(2022)
Article
Engineering, Multidisciplinary
J. P. Moitinho de Almeida
Summary: This work presents a generalization of the functions used in FVQ and HCT elements, allowing for arbitrary approximation degree and continuity order. The determinations of these functions for each element are procedural. The completeness of each basis is confirmed by comparing its dimension with a broken basis, and the required continuity order at the vertices is confirmed numerically. Interpolation functions are derived symbolically and simple Matlab codes are provided for application illustration.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2023)
Article
Physics, Multidisciplinary
Tom Shachar, Ritam Sinha, Michael Smolkin
Summary: This paper studies two-dimensional spherical defects in d-dimensional Conformal Field Theories, proposing the existence of a decreasing entropy function in the Renormalization Group flows on these defects. At the fixed points of the flow, the entropy function equals the anomaly coefficient multiplying the Euler density in the defect's Weyl anomaly. Furthermore, in the case of perturbative RG flows induced by weakly relevant deformations, the entropy function decreases monotonically and serves as a C-function.
Review
Physics, Multidisciplinary
Junchao Hu, Xinglin Wen, Dehui Li
Summary: The optical properties of two-dimensional (2D) perovskites have attracted significant research attention due to the strong quantum and dielectric confinement effects. In addition to the strong excitonic effect, these materials can have their optical properties flexibly tuned by alternating organic or inorganic layers. 2D chiral perovskites and 2D perovskites based heterostructures are emerging as promising platforms to further enhance their functionalities.
FRONTIERS OF PHYSICS
(2023)
Article
Physics, Particles & Fields
Parijat Dey, Nirmalya Kajuri
Summary: This study investigates the relationship between the global/Poincare and AdS-Rindler representations in AdS(2), showing that they are related by conformal transformations. It also demonstrates the connection between global modes and AdS-Rindler modes through the Bogoliubov transformation, using boundary representations of creation and annihilation operators.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Materials Science, Multidisciplinary
Yu Zheng, Duyu Chen, Lei Liu, Yu Liu, Mohan Chen, Houlong Zhuang, Yang Jiao
Summary: Two distinct topological pathways have been discovered for the transformation of the pentagonal Cairo tiling into crystalline and random tilings through the introduction of Stone-Wales defects, controlled by orientation correlations among neighboring bonds. The defects in pentagonal 2D materials preserve shape and symmetry, making the intermediate structures metastable at room temperature. These random tilings maintain hyperuniformity and exhibit metallike electronic properties, making them potential candidates for forming Schottky barriers with semiconducting materials.
Article
Instruments & Instrumentation
Aristides Marcano, Isaac Basaldua, Aaron Villette, Raymond Edziah, Jinjie Liu, Omar Ziane, Noureddine Melikechi
APPLIED SPECTROSCOPY
(2013)
Article
Engineering, Electrical & Electronic
Jinjie Liu, Moysey Brio, Jerome V. Moloney
INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS
(2014)
Article
Computer Science, Interdisciplinary Applications
Jinjie Liu, Moysey Brio, Yong Zeng, Armis R. Zakharian, Walter Hoyer, Stephan W. Koch, Jerome V. Moloney
JOURNAL OF COMPUTATIONAL PHYSICS
(2010)
Article
Computer Science, Interdisciplinary Applications
Jinjie Liu, Moysey Brio, Jerome V. Moloney
JOURNAL OF COMPUTATIONAL PHYSICS
(2014)
Article
Optics
Jason Cornelius, Jinjie Liu, Moysey Brio
Article
Optics
Jinjie Liu, Moysey Brio, Jerome V. Moloney
Article
Engineering, Electrical & Electronic
John Nehls, Colm Dineen, Jinjie Liu, Cody Poole, Moysey Brio, Jerome V. Moloney
INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS
(2019)
Article
Acoustics
Moysey Brio, Jean-Guy Caputo, Kyle Gwirtz, Jinjie Liu, Andrei Maimistov
Article
Mathematics, Applied
Qiqi Tran, Jinjie Liu
Summary: In this paper, two modified ICN algorithms are proposed to achieve second order convergence rate by using different weight choices. The first approach uses geometrically averaged weights in two consecutive iterations, while the second approach uses arithmetically averaged weights for two consecutive time steps. The stability and second order accuracy of these methods are verified and demonstrated through numerical experiments.
NUMERICAL ALGORITHMS
(2023)
Article
Engineering, Electrical & Electronic
Jinjie Liu, Jason Cornelius, Moysey Brio
Summary: This paper presents a new explicit non-iterative algorithm for solving the Kerr nonlinear constitutive equation, which achieves similar accuracy to the Newton's method with reduced computational cost.
IEEE JOURNAL ON MULTISCALE AND MULTIPHYSICS COMPUTATIONAL TECHNIQUES
(2022)
Article
Computer Science, Artificial Intelligence
David D. Pokrajac, Poopalasingam Sivakumar, Yuriy Markushin, Daniela Milovic, Gary Holness, Jinjie Liu, Noureddine Melikechi, Mukti Rana
INTERNATIONAL JOURNAL OF DATA SCIENCE AND ANALYTICS
(2019)
Article
Geochemistry & Geophysics
Li Jing, Liu Jin-Jie, Zeng Zhao-Fa, Liu Feng-Shan
CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
(2016)
Article
Optics
Yingxue Zhao, Jinjie Liu
Proceedings Paper
Engineering, Electrical & Electronic
Jinjie Liu, Moysey Brio
2014 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA)
(2014)
