scholarly journals Topological Network Properties of Fractal-Like Metallic Nanoparticle Patterns and Their Effects on Optical Resonances

2018 ◽  
Vol 8 (8) ◽  
pp. 1310
Author(s):  
Naoya Kihara ◽  
Osamu Sakai
Keyword(s):  
Unit Length ◽  
Theoretical Models ◽  
Topological Properties ◽  
Metallic Nanoparticle ◽  
Diffusion Limited Aggregation ◽  
Complex Network Theory ◽  
Geometrical Properties ◽  
Optical Resonances ◽  
Resonance Frequencies ◽  
Network Topologies

Fractal-like nanoparticle two-dimensional patterns forming in diffusion-limited aggregation show variant spatial patterns. However, they have invariant statistical properties in their network topologies, even though their formation is completely in self-assembled processes. One of the outputs from these topological properties is optical resonances at invariant frequencies, which is a required feature of a metamaterial alternative. Fractal-like metallic patterns studied here in both experiments and theoretical models exhibit similar resonance frequencies in the infrared-ray range, and they depend on the unit length of nanoparticles composing arbitrary fractal-like structures. The scheme of analysis applied here using complex network theory does not only reveal the topological properties of the nanoparticle network, but points out their optical and possibly other physical potentials arising from their geometrical properties.

VIBRATIONS ON POWER LINES IN A STEADY WIND: V. RESONANCE OF STRINGS WITH STRENGTHENED ENDS

1938 ◽  
Vol 16a (12) ◽  
pp. 215-225
Author(s):  
R. Ruedy
Keyword(s):  
Total Mass ◽  
Linear Density ◽  
Unit Length ◽  
Standing Waves ◽  
Power Lines ◽  
Resonance Frequencies ◽  
The Law

The resonance frequencies, and in particular all the overtones of a string along which the linear density varies according to the law ρ(1 + λx/L)m, are slightly higher than the frequencies of a uniform string of the same total mass when the ratio between the mass of an element at the end and a corresponding element at the centre is varied between 1 and 25. In order to bring a string with strengthened ends into resonance it is necessary not only that the force acting on unit length of the string be of the same frequency as one of the resonance frequencies, and that its strength varies along the string in proportion to the amplitudes of the corresponding standing waves, but it must also be proportional to the mass of each element. It is therefore more difficult to produce true resonance in a string with strengthened ends than in a uniform string.

A MODEL OF TYPE I COLLAGEN FIBRILLOGENESIS BASED ON DIFFUSION LIMITED AGGREGATION

1995 ◽  
Vol 03 (04) ◽  
pp. 1033-1039
Author(s):  
JOHN PARKINSON ◽  
KARL E. KADLER ◽  
ANDY BRASS
Keyword(s):  
Type I Collagen ◽  
Unit Length ◽  
The Body ◽  
Biological Macromolecules ◽  
Type I ◽  
Structural Protein ◽  
Diffusion Limited Aggregation ◽  
Mass Unit ◽  
Diffusion Limited

The development of shape and form is intrinsic to the structure and function of many biological macromolecules including tubulin, actin and collagen. Type I collagen is a major structural protein in the body, providing mechanical strength for tissues such as bone and skin. It is present in the form of fibrils which display a regular banding pattern known as D-periodicity (where D = 67 nm). Type I collagen is a long rod-like molecule (300 nm ×1.5 nm) consisting of a triple helix formed from three polypeptide chains. In vivo and in vitro studies have shown that collagen molecules self-assemble in a regular D-staggered array to form striated fibrils. Further studies have shown that the process, termed fibrillogenesis, is entropy driven. A model based on diffusion limited aggregation was used to investigate the properties of rod self-assembly. This simple model reproduced several experimentally observed features of collagen fibril morphology including a linear mass/unit length profile and a preference for tip growth.

scholarly journals Scalar-Tensor Bianchi VI Models

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
J. A. Belinchón
Keyword(s):  
Exact Solutions ◽  
Theoretical Models ◽  
Self Similarity ◽  
Geometrical Properties ◽  
Bianchi Iii ◽  
Cosmological Constants

We study how may vary the gravitational and the cosmological “constants,” ( and ) in several scalar-tensor theories with Bianchi III, , and symmetries. By working under the hypothesis of self-similarity we find exact solutions for two different theoretical models, which are the Jordan-Brans-Dicke (JBD) with and the usual JBD model with potential (that mimics the behaviour of . We compare both theoretical models, and some physical and geometrical properties of the solutions are also discussed putting special emphasis on the study of the isotropization of the solutions.

scholarly journals Similar Seismic Activities Analysis by Using Complex Networks Approach

Symmetry ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 778 ◽  
Author(s):  
Xuan He ◽  
Luyang Wang ◽  
Zheng Liu ◽  
Yiwen Liu
Keyword(s):  
Complex Network ◽  
Network Theory ◽  
Topological Properties ◽  
Earthquake Occurrence ◽  
Complex Network Theory ◽  
Time Symmetry ◽  
The World ◽  
Network Similarity ◽  
Seismic Catalogs ◽  
Different Time Scales

Seismic activities show a space-time symmetry in some research. They have been recently studied using complex network theory. Earthquake network similarity is studied by us from seismic catalogs in the same region for a given period of time. In this paper, we first calculate the distance between feature vectors which represent the topological properties of different networks. A hierarchical clustering of earthquake networks in the same region is shown by using this method. It is found that similar networks are not the networks of adjacent years but those with decades time difference. To study the period of similar earthquake networks in the same region, we use wavelet analysis to obtain the possible periods at different time scales of the regions of the world, California and Japan. It is found that some of the possible periods are consistent with the results which have been already found by seismologists. The study of similar seismic activities from the perspective of the complex network will help seismologists to study the law of earthquake occurrence in a new way, which may provide possible research thinking for earthquake prediction.

scholarly journals Topological study of the convergence in the voter model

2019 ◽  
Vol 4 (1) ◽  
Author(s):  
Inés Caridi ◽  
Sergio Manterola ◽  
Viktoriya Semeshenko ◽  
Pablo Balenzuela
Keyword(s):  
Random Network ◽  
Theoretical Models ◽  
Voter Model ◽  
Theoretical Treatment ◽  
Topological Properties ◽  
Initial State ◽  
Simple Formulation ◽  
Topological Features ◽  
Absorbing State ◽  
Active Link

AbstractThe voter model has been widely studied due to its simple formulation and attainable theoretical treatment. The study of the “active links”, edges that connect nodes in different states, has been a key element in the analysis of the convergence of the model. Typically, the density of active links, ρ, is used to characterize the system when approaching to absorbing state. However, more information can be extracted from how the active links are distributed across the underlying network.In this paper we study the dynamics of active links in the voter model, from a perspective of complex networks. This approach allows us to understand how the dynamics of the model is mapped in topological features of a dynamical network of active links. We found that certain topological properties of the Active Link Network show salient features related to the dynamics of the model. The Active Link Network goes from a state similar to the underlying random network in the initial state to extremely disassortative graph when the dynamics approaches to absorbing state. In this state, the active link network is dominated by “star-like” motifs, where different opinions take different topological roles on the network. Thus, the Active Link Network shows some properties which are distant from the hypothesis made by the current theoretical models, which assume there are no correlations among active links.

scholarly journals Comparing and Clustering Residential Layouts Using a Novel Measure of Grating Difference

2020 ◽  
Author(s):  
Ran Xiao
Keyword(s):  
Knowledge Discovery ◽  
Design Patterns ◽  
Topological Properties ◽  
Clustering Method ◽  
Geometrical Properties ◽  
Difference Measure ◽  
Discovery Method ◽  
Architectural Research

Abstract Clustering is widely used as a knowledge discovery method in scientific studies but is not often used in architectural research. This paper applies clustering to a dataset of 129 residential layouts, which were collected from contemporary architectural practices, to reveal underlying design patterns. To achieve this, this paper introduces a novel measure for the topological properties of layouts: ‘grating difference measure’. It was benchmarked against an alternative that measures geometrical properties and the advantages are explained. The grating difference measure indicates the extent of design differences, which is used in the clustering method to obtain the distance between datapoints. The results from clustering were grouped into design schematics and qualitatively assessed, showing a convincing separation of characteristics. The method demonstrated in this paper may be used to reveal topological patterns in datasets of existing designs for both academic and practical purposes.

scholarly journals Continuous Variables Graph States Shaped as Complex Networks: Optimization and Manipulation

Entropy ◽  
2019 ◽  
Vol 22 (1) ◽  
pp. 26
Author(s):  
Francesca Sansavini ◽  
Valentina Parigi
Keyword(s):  
Complex Networks ◽  
Complex Network ◽  
Quantum Algorithms ◽  
Minimal Amount ◽  
Continuous Variables ◽  
Linear Optics ◽  
Cluster States ◽  
Graph States ◽  
Complex Network Theory ◽  
Network Topologies

Complex networks structures have been extensively used for describing complex natural and technological systems, like the Internet or social networks. More recently, complex network theory has been applied to quantum systems, where complex network topologies may emerge in multiparty quantum states and quantum algorithms have been studied in complex graph structures. In this work, we study multimode Continuous Variables entangled states, named cluster states, where the entanglement structure is arranged in typical real-world complex networks shapes. Cluster states are a resource for measurement-based quantum information protocols, where the quality of a cluster is assessed in terms of the minimal amount of noise it introduces in the computation. We study optimal graph states that can be obtained with experimentally realistic quantum resources, when optimized via analytical procedure. We show that denser and regular graphs allow for better optimization. In the spirit of quantum routing, we also show the reshaping of entanglement connections in small networks via linear optics operations based on numerical optimization.

Modelling the three-dimensional vibration of composite archery arrows under free–free boundary conditions

2012 ◽  
Vol 226 (2) ◽  
pp. 114-122
Author(s):  
Marianne Rieckmann ◽  
James L Park ◽  
John Codrington ◽  
Ben Cazzolato
Keyword(s):  
Free Boundary ◽  
Boundary Conditions ◽  
Three Dimensional ◽  
Laser Doppler Vibrometer ◽  
Theoretical Models ◽  
Free Boundary Conditions ◽  
Scanning Laser Doppler Vibrometer ◽  
Resonance Frequencies ◽  
Dimensional Finite Element ◽  
Three Dimensional Finite Element

Archery performance has been shown to be dependent on the resonance frequencies and operational deflection shape of the arrows. This vibrational behaviour is influenced by the design and material of the arrow and the presence of damage in the arrow structure. In recent years arrow design has progressed to use lightweight and stiff composite materials. This paper investigates the vibration of composite archery arrows through a finite difference model based on Euler–Bernoulli theory, and a three-dimensional finite element modal analysis. Results from the numerical simulations are compared to experimental measurements using a Polytec scanning laser Doppler vibrometer (PSV-400). The experiments use an acoustically coupled vibration actuator to excite the composite arrow with free–free boundary conditions. Evaluation of the vibrational behaviour shows good agreement between the theoretical models and the experiments.

Eddy Current Damping: A Concept Study for Steam Turbine Blading

2009 ◽  
Author(s):  
Jacob Laborenz ◽  
Christian Siewert ◽  
Lars Panning ◽  
Jo¨rg Wallaschek ◽  
Christoph Gerber ◽  
...  
Keyword(s):  
Steam Turbine ◽  
Eddy Current ◽  
Theoretical Models ◽  
Forced Response ◽  
Resonance Frequencies ◽  
Different Types ◽  
Stationary Test ◽  
Eddy Current Damping ◽  
Fatigue Failures ◽  
Turbine Blading

In gas and steam turbine applications a common approach to prevent the blades from high cycle fatigue failures due to high vibration amplitudes is the usage of friction damping elements. Besides the intended amplitude reduction this procedure also features some possibly unwanted side effects like a shift in resonance frequencies due to stiffening effects caused by the contact. Thus, as an alternative an eddy current based non-contacting damping concept for the application in turbo machinery is investigated. In this paper two different types of eddy current dampers are considered. Theoretical models for both are established by applying electromagnetic-mechanical theory. The theoretical models are compared to forced response measurements that are performed at a stationary test rig.

scholarly journals A New Difference Sequence Set of Orderαand Its Geometrical Properties

2014 ◽  
Vol 2014 ◽  
pp. 1-4 ◽  
Author(s):  
Mikail Et ◽  
Vatan Karakaya
Keyword(s):  
Difference Sequence ◽  
Topological Properties ◽  
Fatou Property ◽  
Geometrical Properties ◽  
New Class ◽  
Inclusion Relations ◽  
Order Continuous

We introduce a new class of sequences named asmαΔr,ϕ,pand, for this space, we study some inclusion relations, topological properties, and geometrical properties such as order continuous, the Fatou property, and the Banach-Saks property of typep.

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