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81.
Irina Legchenkova Mark Frenkel Nir Shvalb Shraga Shoval Oleg V. Gendelman Edward Bormashenko 《Entropy (Basel, Switzerland)》2022,24(6)
Properties of the Voronoi tessellations arising from random 2D distribution points are reported. We applied an iterative procedure to the Voronoi diagrams generated by a set of points randomly placed on the plane. The procedure implied dividing the edges of Voronoi cells into equal or random parts. The dividing points were then used to construct the following Voronoi diagram. Repeating this procedure led to a surprising effect of the positional ordering of Voronoi cells, reminiscent of the formation of lamellae and spherulites in linear semi-crystalline polymers and metallic glasses. Thus, we can conclude that by applying even a simple set of rules to a random set of seeds, we can introduce order into an initially disordered system. At the same time, the Shannon (Voronoi) entropy showed a tendency to attain values that are typical for completely random patterns; thus, the Shannon (Voronoi) entropy does not distinguish the short-range ordering. The Shannon entropy and the continuous measure of symmetry of the patterns demonstrated the distinct asymptotic behavior, while approaching the close saturation values with the increase in the number of iteration steps. The Shannon entropy grew with the number of iterations, whereas the continuous measure of symmetry of the same patterns demonstrated the opposite asymptotic behavior. The Shannon (Voronoi) entropy is not an unambiguous measure of order in the 2D patterns. The more symmetrical patterns may demonstrate the higher values of the Shannon entropy. 相似文献
82.
83.
The effects of cubic potentials on discrete breathers in a mixed Klein-Gordon /Fermi-Pasta-Ulam chain 下载免费PDF全文
Nonlinearity has a crucial impact on the symmetry properties of dynamical
systems. This paper studies a one-dimensional mixed Klein--Gordon/Fermi--Pasta--Ulam diatomic
chain using the expanded rotating plane-wave approximation and numerical
calculations to determine the effect of cubic potentials on the symmetry
properties of discrete breathers in this system. The results will be very
useful to researchers in the field of numerical calculations on
discrete breathers. 相似文献
84.
We derive the basic canonical brackets amongst the creation and annihilation operators for a two (1 + 1)- dimensional (2D) gauge field theoretic model of an interacting Hodge theory where a U(1) gauge field (Aμ) is coupled with the fermionic Dirac fields (ψ and ψ). In this derivation, we exploit the spin-statistics theorem, normal ordering and the strength of the underlying six infinitesimal continuous symmetries (and the concept of their generators) that are present in the theory. We do not use the definition of the canonical conjugate momenta (corresponding to the basic fields of the theory) anywhere in our whole discussion. Thus, we conjecture that our present approach provides an alternative to the canonical method of quantization for a class of gauge field theories that are physical examples of Hodge theory where the continuous symmetries (and corresponding generators) provide the physical realizations of the de Rham cohomological operators of differential geometry at the algebraic level. 相似文献
85.
Asymmetric mode transformation in waveguide is of great significance for on-chip integrated devices with one-way effect, while it is challenging to achieve asymmetric nonlinear-mode-conversion (NMC) due to the limitations imposed by phase-matching. In this work, we theoretically proposed a new scheme for realizing asymmetric NMC by combining frequency-doubling process and periodic PT symmetric modulation in an optical waveguide. By engineering the one-way momentum from PT symmetric modulation, we have demonstrated the unidirectional conversion from pump to second harmonic with desired guided modes. Our findings offer new opportunities for manipulating nonlinear optical fields with PT symmetry, which could further boost more exploration on on-chip nonlinear devices assisted by non-Hermitian optics. 相似文献
86.
The rotational anisotropies in the ferromagnetism/antiferromagnetism 1/ antiferromagnetism 2 exchange bias structures 下载免费PDF全文
The rotational anisotropies in the exchange bias structures of
ferromagnetism/antiferromagnetism 1/antiferromagnetism 2 are studied in this
paper. Based on the model, in which the antiferromagnetism is treated with
an Ising mean field theory and the rotational anisotropy is assumed to be
related to the field created by the moment induced on the antiferromagnetic
layer next to the ferromagnetic layer, we can explain why in experiments for
ferromagnetism (FM)/antiferromagntism 1 (AFM1)/antiferromagnetism 2 (AFM2)
systems the thickness-dependent rotational anisotropy value is
non-monotonic, i.e. it reaches a minimum for this system at a specific
thickness of the first antiferromagnetic layer and exhibits oscillatory
behaviour. In addition, we find that the temperature-dependent rotational
anisotropy value is in good agreement with the experimental result. 相似文献
87.
旋转双棱镜光束指向控制技术综述 总被引:1,自引:0,他引:1
旋转双棱镜系统通过两棱镜的共轴独立旋转改变光的传播方向,可用于调整光束或视轴指向。与传统的两轴、三轴式光电平台相比,基于旋转双棱镜设计的光束或视轴调整装置具有精度高、结构紧凑、动态性能好等优点,已成为传统光电平台的有益补充。本文分析了双棱镜系统的光束指向调整机制;介绍了国内外相关基础研究的热点问题,主要涉及光束转向机制、光束扫描模式、棱镜回转控制以及棱镜引起的光束变形、成像色差、成像畸变的研究。文中描述了该项技术的应用进展,给出了利用该项技术开发的典型产品以及该项技术在激光光束指向调整和目标搜索、识别与跟踪成像方面的应用。最后,探讨了旋转棱镜在扫描模式、光束质量、成像色差与畸变、回转控制等方面面临的技术难题,并对其发展趋势进行了展望。 相似文献
88.
最近报道了氯原子从不同方向进攻CHD3分子的C-H化学键的全方位三维立体化学反应过程,其中通过对偏振相关微分反应截面的测量以及分析,反应物的空间取向对化学反应的影响有了比较清晰的了解.这里,在切片成像满足特定的对称性要求的条件下,通过对两种最常见的反应构型即平行碰撞以及垂直碰撞反应构型的分析,得到三维微分反应截面以及积分反应截面,这两种立体化学反应活性的比较对于理解各向同性的反应物的反应活性有着较大的帮助,也是一般化学家更为感兴趣的课题,从而可以加深关于化学反应过程的直观认识以及探讨 相似文献
89.
90.