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symmetry breaking in the opinion dynamics of a multi-group project organization

Chinese Physics B 2012年第10期21卷 144-154页

作者：朱振涛周晶李平陈星光 School of Management and Engineering Nanjing UniversityNanjing 210093China School of Economics and Management Nanjing Institute of TechnologyNanjing 211167China Department of Basic Sciences Nanjing Institute of TechnologyNanjing 211167China

A bounded confidence model of opinion dynamics in multi-group projects is presented in which each group＇s opinion evolution is driven by two types of forces：（i） the group＇s cohesive force which tends to restore the opinion back towards the initial status because of its company culture;and（ii） nonlinear coupling forces with other groups which attempt to bring opinions closer due to collaboration *** analysis for the case of a two-group project shows a cusp catastrophe phenomenon and three distinctive evolutionary regimes,i.e.,a deadlock regime,a convergence regime,and a bifurcation regime in opinion *** critical value of initial discord between the two groups is derived to discriminate which regime the opinion evolution belongs *** the case of a three-group project with a symmetric social network,both bifurcation analysis and simulation results demonstrate that if each pair has a high initial discord,instead of symmetrically converging to consensus with the increase of coupling scale as expected by Gabbay＇s result（Physica A 378（2007） p.125 Fig.5）,project organization（PO） may be split into two distinct clusters because of the symmetry breaking phenomenon caused by pitchfork bifurcations,which urges that apart from divergence in participants＇ interests,nonlinear interaction can also make conflict inevitable in the *** effects of two asymmetric level parameters are tested in order to explore the ways of inducing dominant opinion in the whole *** is found that the strong influence imposed by a leader group with firm faith on the flexible and open minded follower groups can promote the formation of a positive dominant opinion in the PO.

关键词： opinion dynamics pitchfork bifurcation symmetry breaking project management

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symmetry breaking for Black-Scholes Equations

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Communications in Theoretical Physics 2007年第6期47卷 995-1000页

作者： YANG Xuan-Liu ZHANG Shun-Li QU Chang-Zheng School of Economics and Management Tsinghua University Beijing 100084 China Center for Nonlinear Studies Northwest University Xi＇an 710069 China Department of Mathematics Northwest University Xi＇an 710069 China

Black-Scholes equation is used to model stock option pricing. In this paper, optimal systems with one to four parameters of Lie point symmetries for Black-Scholes equation and its extension are obtained. Their symmetry breaking interaction associated with the optimal systems is also studied. As a. result, symmetry reductions and corresponding solutions for the resulting equations are obtained.

关键词： Black-Scholes equation symmetry optimal system symmetry breaking solution

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symmetry breaking of highly symmetrical nanoclusters for triggering highly optical activity

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Fundamental Research 2024年第1期4卷 63-68页

作者： Xiao Wei Hao Li Honglei Shen Chuanjun Zhou Shuxin Wang Xi Kang Manzhou Zhu Department of Chemistry and Centre for Atomic Engineering of Advanced Materials Key Laboratory of Structure and Functional Regulation of Hybrid Materials of Ministry of EducationInstitutes of Physical Science and Information Technology and Anhui Province Key Laboratory of Chemistry for Inorganic/Organic Hybrid Functionalized Materials.Anhui UniversityHefei 230601China

Developing new approaches to fulfill the enantioseparation of nanocluster racemates and construct cluster-based nanomaterials with optical activity remains highly desired in cluster science,because it is an essential prerequisite for fundamental research and extensive applications of these *** herein propose a strategy termed“active-site exposing and partly re-protecting”to trigger the symmetry breaking of highly symmetrical nanoclusters and to render cluster crystals optically *** vertex PPh_(3)of the symmetrical Ag_(29)(SSR)_(12)(PPh_(3))_(4)(SSR=1,3-benzenedithiol)nanocluster was firstly dissociated in the presence of counterions with large steric hindrance,and then the exposed Ag active sites of the obtained Ag_(29)(SSR)_(12)nanocluster were partly re-protected by Ag^(+),yielding an Ag_(29)(SSR)_(12)-Ag_(2)nanocluster with a symmetry-breaking ***_(29)(SSR)_(12)-Ag_(2)followed a chiral crystallization mode,and its crystal displayed strong optical activity,derived from CD and CPL ***,this work presents a new approach(i.e.,active-site exposing and partly re-protecting)for the symmetry breaking of highly symmetrical nanoclusters,the enantioseparation of nanocluster racemates,and the achievement of highly optical activity.

关键词： Atomically precise nanocluster symmetry breaking Enantioseparation Circularly polarized luminescent Photoluminescence

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Mode structure symmetry breaking of reversed shear Alfvén eigenmodes and its impact on the generation of parallel velocity asymmetries in energetic particle distribution

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Plasma Science and Technology 2022年第2期24卷 17-27页

作者： Guo MENG Philipp LAUBER Xin WANG Zhixin LU Max-Planck-Institut fiir Plasmaphysik D-85748 GarchingGermany

In this work,the gyrokinetic eigenvalue code LIGKA,the drift-kinetic/MHD hybrid code HMGC and the gyrokinetic full-f code TRIMEG-GKX are employed to study the mode structure details of reversed shear Alfvén eigenmodes(RSAEs).Using the parameters from an ASDEXUpgrade plasma,a benchmark with the three different physical models for RSAE without and with energetic particles(EPs)is carried *** agreement has been found for the mode frequency and the growth *** structure symmetry breaking(MSSB)is observed when EPs are included,due to the EPs’non-perturbative *** is found that the MSSB properties are featured by a finite radial wave phase velocity,and the linear mode structure can be well described by an analytical complex Gaussian expressionФ(s)=e^(-σ(s-s_(0))^(2))with complex parametersσand s_(0),where s is the normalized radial *** mode structure is distorted in opposite manners when the EP drive shifted from one side of qminto the other side,and specifically,a non-zero average radial wave number with opposite signs is *** initial EP density profiles and the corresponding mode structures have been used as the input of HAGIS code to study the EP *** parallel velocity of EPs is generated in opposite directions,due to different values of the average radial wave number,corresponding to different initial EP density profiles with EP drive shifted away from the qmin.

关键词： reversed shear Alfvén eigenmode symmetry breaking energetic particles non-perturbative effects

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Pressure-driven symmetry breaking and electron disproportionation of the trigonal Nb_(3)cluster in Nb_(3)Cl_(8)

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Science China(Physics,Mechanics & Astronomy) 2022年第7期65卷 153-158页

作者： Zimin Jiang Dequan Jiang Yiming Wang Chen Li Ke Liu Ting Wen Fuyang Liu Zhengyang Zhou Yonggang Wang Center for High Pressure Science and Technology Advanced Research(HPSTAR) Beijing 100094China Shanghai Institute of Ceramics Chinese Academy of SciencesShanghai 201899China

symmetry breaking of metal cluster-based strongly correlated systems can give rise to collective ***,the twodimensional Nb_(3) cluster compound Nb_(3)Cl_(8) is shown to suffer dramatic symmetry breaking and electron disproportionation under compression.A structural phase transition from trigonal P–3m1 to monoclinic C2/m is observed near 8 GPa with the three-fold symmetry *** disproportionation occurs on Nb_(3) clusters from delocalized Nb^(8/3+)Nb^(8/3+)Nb^(8/3+)to localized Nb^(3+)Nb^(3+)Nb^(2+),which results in a subtle bandgap discontinuity,as evidenced by electrical transport and UV-Vis absorption measurements.

关键词： Nb_(3)Cl_(8) symmetry breaking electron disproportionation layered semiconductor high pressure

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Construction of chiral through-space luminophores via symmetry breaking triggered by sequenced chlorination

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Science China Chemistry 2023年第7期66卷 2083-2090页

作者： Yufeng Xie Huaying Liu Zhongliang Li Xin Zhang Lijuan Song Kang Zhou Feng Yuan Hengzhi You Engui Zhao Zikai He School of Science Harbin Institute of TechnologyShenzhen 518055China School of Chemical Engineering and Technology Harbin Institute of Technology HarbinHarbin 150001China Academy for Advanced Interdisciplinary Studies and Department of Chemistry Southern University of Science and TechnologyShenzhen 518055China Shenzhen Bay Laboratory Shenzhen 518055China Hoffmann Institute of Advanced Materials Shenzhen PolytechnicShenzhen 518055China

The construction of molecular chirality is crucial for exploring novel luminophores with chiroptical *** asymmetric synthesis of chiral center or axial is not powerful enough on through-space *** methodologies for breaking molecular symmetry could be promising but remain less ***,we report a novel methodology for constructing chiral through-space luminophores via simple chlorination on bridged carbazole *** chlorination breaks the molecular symmetry and thus results in molecular chirality by eliminating the mirror plane or rotating ***,continuous multiple chlorinations can rebuild and break the symmetry of the skeleton in *** chiral and achiral isomeric analogues are synthesized and characterized with impressive chiroptical *** of chiral high performance liquid chromatography(HPLC),single-crystal X-ray diffraction,kinetic racemization,and chiroptical property investigation demonstrate the effectiveness of our rational design *** provides a feasible methodology for exploring novel chiral luminescent materials based on versatile though-space skeletons.

关键词： symmetry breaking chiral through-space luminophore circularly-polarized luminescence kinetic racemization

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Origin of symmetry breaking in the seed-mediated growth of bi-metal nano-heterostructures

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Science Bulletin 2018年第14期63卷 892-899页

作者： Guifen Du Jun Pei Zhiyuan Jiang Qiaoli Chen Zhenming Cao Qin Kuang Zhaoxiong Xie Lansun Zheng State Key Laboratory of Physical Chemistry of Solid Surfaces Collaborative Innovation Center of Chemistry for Energy MaterialsDepartment of ChemistryCollege of Chemistry and Chemical EngineeringXiamen University Pen-Tung Sah Institute of Micro-Nano Science and Technology Xiamen University

Seed-mediated growth is the most general way to controllably synthesize bimetal nano-heterostructures. Despite successful instances through trial and error were reported, the way for second metal depositing on the seed. namely whether the symmetry of resulted nano-heterostructure follows the original crystal symmetry of seed metal, remains an unpredictable issue to date. In this work, we propose that the ther- modynamic factor, i.e., the difference of equilibrium electrochemical potentials （corresponding to their Fermi levels） of two metals in the growth solution, plays a key role for the symmetry breaking of bimetal nano-heterostructures during the seed-mediated growth. As a proof-of-principle experiment, by revers- ing the relative position of Fermi levels of the Pd nanocube seeds and the second metal Au with changing the concentration of reductant （L-ascorbic acid） in the growth solution, the structure of as-prepared prod- ucts successfully evolved from centrosymmetric Pd@Au core-shell trisoctabedra to asymmetric Pd-Au hetero-dimers. The idea was further demonstrated by the growth of Ag on the Pd seeds. The present work intends to reveal the origin of symmetry breaking in the seed-mediated growth of nano-heterostructures from the viewpoint of thermodynamics, and these new insights will in turn help to achieve rational con- struction of bimetal nano-heterostructures with soecific functions.

关键词： symmetry breaking Bimetal nano-heterostructures Seed-mediated growth Equilibrium electrochemical potentials

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Lateral predictive coding revisited:internal model,symmetry breaking,and response time

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Communications in Theoretical Physics 2022年第9期74卷 158-169页

作者： Zhen-Ye Huang Xin-Yi Fan Jianwen Zhou Hai-Jun Zhou CAS Key Laboratory for Theoretical Physics Institute of Theoretical PhysicsChinese Academy of SciencesBeijing 100190China School of Physical Sciences University of Chinese Academy of SciencesBeijing 100049China MinJiang Collaborative Center for Theoretical Physics MinJiang UniversityFuzhou 350108China

Predictive coding is a promising theoretical framework in neuroscience for understanding information transmission and *** posits that the brain perceives the external world through internal models and updates these models under the guidance of prediction *** studies on predictive coding emphasized top-down feedback interactions in hierarchical multilayered networks but largely ignored lateral recurrent *** perform analytical and numerical investigations in this work on the effects of single-layer lateral *** consider a simple predictive response dynamics and run it on the MNIST dataset of hand-written *** find that learning will generally break the interaction symmetry between peer neurons,and that high input correlation between two neurons does not necessarily bring strong direct interactions between *** optimized network responds to familiar input signals much faster than to novel or random inputs,and it significantly reduces the correlations between the output states of pairs of neurons.

关键词： neural network response dynamics predictive coding similarity symmetry breaking

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Exact Geometric Relationships, symmetry breaking and Structural Stability for Single-Walled Carbon Nanotubes

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Nano-Micro Letters 2011年第4期3卷 228-235页

作者： Tong Zhang Ze Shuai Yuan Li Hao Tan Research Center for Solid Mechanics Beihang University

We pioneered a study about how the geometric relationship of single-walled carbon nanotubes(SWCNT) is influenced by curvature factor and non-planar geometry factor in cylindrical coordinate system based on the assumption of complete symmetry. The bond length and angle of every carbon-carbon bonds are determined by using the principle of the minimum energy. The results of the paper include(1) From the calculation result, the symmetry breaking appears for chiral carbon nanotubes, while the part symmetry appears for achiral carbon nanotubes with increasing curvature.(2) The synergistic effect of bond lengths and bond angles is first found.(3) We conclude that the influence of non-planar geometry factor can be completely ignored on bond lengths and bond angles when the curvature parameter has been included in the model.(4)The two fractal dimensions are given from the nanoscale to the macroscale for zigzag topology and armchair topology respectively. Fractal dimensions of SWCNT show special characteristics, varying with the length of SWCNT until the lengths approach infinity. The close and inevitable correlations among curvature, symmetry breaking and stability of SWCNTs can be summed up as: the increase of curvature causes symmetry breaking,and such symmetry breaking will further reduce the structural stability.

关键词： Geometry Structural Stability symmetry breaking Fractal Dimension

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Origin of symmetry breaking and Confinement in Conducting Polymers with Ring Structures

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Communications in Theoretical Physics 2007年第2X期48卷 366-368页

作者： YUAN Yuan Thomas F. George SUN Xin Research Center for Quantum Manipulation Fudan University Shanghai 200433 China National Lab of Infrared Physics Shanghai 200083 China Office of the Chancellor and Center for Molecular Electronics Departments of Chemistry & Biochemistry and Physics & Astronomy Univ.ersity of Missouri-St. Louis St. Louis Missouri 63121 USA

A model to describe the main features of conjugated polymers with ring structures, such as polythiophene and polypyrrole, is constructed. It is shown that the origin of the symmetry breaking and confinement of a solit... 详细信息

关键词： polymer branch hopping symmetry breaking confinement

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