scholarly journals Interfacial waveforms in chiral lattices with gyroscopic spinners

2018 ◽  
Vol 474 (2215) ◽  
pp. 20180132 ◽  
Author(s):  
M. Garau ◽  
G. Carta ◽  
M. J. Nieves ◽  
I. S. Jones ◽  
N. V. Movchan ◽  
...  
Keyword(s):  
Triangular Lattice ◽  
Hexagonal Lattice ◽  
New Method ◽  
Limit Case ◽  
Periodic Media ◽  
Hexagonal System ◽  
Topological Features ◽  
New Perspective

We demonstrate a new method of achieving topologically protected states in an elastic hexagonal system of trusses by attaching gyroscopic spinners, which bring chirality to the system. Dispersive features of this medium are investigated in detail, and it is shown that one can manipulate the locations of stop-bands and Dirac points by tuning the parameters of the spinners. We show that, in the proximity of such points, uni-directional interfacial waveforms can be created in an inhomogeneous lattice and the direction of such waveforms can be controlled. The effect of inserting additional soft internal links into the system, which is thus transformed into a heterogeneous triangular lattice, is also investigated, as the hexagonal lattice represents the limit case of the heterogeneous triangular lattice with soft links. This work introduces a new perspective in the design of periodic media possessing non-trivial topological features.

scholarly journals A New Method for Reducing Collapsibility of Loess Foundation with Thicker Deposit: The Borehole Preimmersion Method

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Bin Zhi ◽  
Xiaochan Wang ◽  
Pingping Wei ◽  
Zengyue Li ◽  
Pan Wang ◽  
...  
Keyword(s):  
Water Consumption ◽  
Diffusion Mechanism ◽  
Water Injection ◽  
Immersion Test ◽  
Calculation Model ◽  
New Method ◽  
Total Water ◽  
Injection Hole ◽  
Total Water Consumption ◽  
New Perspective

At present, there are some key issues in the traditional preimmersion method for reducing the collapsibility of the loess ground, such as the difficulty in determining the total water consumption and the long immersion time. In response to these issues, a new method, the borehole preimmersion method, is presented, and a specific theoretical design model is proposed for application in projects. The method is specifically discussed from a new perspective, and the diffusion mechanism and evolution law of water in the ground are presented in detail through theoretical analysis and numerical calculation, respectively. The water diffusion is a mushroom-type form for a single water injection hole immersed in water. A calculation model derived for a single water injection hole or a group of water injection holes based on the research results is used to calculate the volumes of soaked loess and the total water consumption. Through an in situ immersion test, the treatment effect of this method is evaluated to verify the rationality of the method and the theoretical calculation model proposed in this study, which provides a new method and theoretical framework for effectively reducing the collapsibility of the loess ground.

scholarly journals Ising Model on a Triangular Lattice with Three-spin Interactions. I. Free Energy and Correlation Length

1974 ◽  
Vol 27 (3) ◽  
pp. 369 ◽  
Author(s):  
RJ Baxter
Keyword(s):  
Free Energy ◽  
Ising Model ◽  
Bethe Ansatz ◽  
Correlation Length ◽  
Triangular Lattice ◽  
Hexagonal Lattice ◽  
Spin Interactions

Following the demonstration in Part I that the Ising mogel with three-spin interactions on a triangular lattice is equivalent to a colouring problem on a hexagonal lattice, and that a generalized Bethe ansatz can be used to obtain equations for the eigenv

scholarly journals Connectivity Contribution to Urban Hub Network Based on Super Network Theory – Case Study of Beijing

2021 ◽  
Vol 33 (1) ◽  
pp. 35-47
Author(s):  
Guang Yuan ◽  
Dewen Kong ◽  
Lishan Sun ◽  
Wei Luo ◽  
Yan Xu
Keyword(s):  
Network Theory ◽  
Rapid Development ◽  
Urban Transport ◽  
Passenger Transportation ◽  
Topological Features ◽  
Multi Level ◽  
Transport Modes ◽  
Urbanization In China ◽  
New Perspective

With the rapid development of urbanization in China, the number of travel modes and urban passenger transportation hubs has been increasing, gradually forming multi-level and multi-attribute transport hub networks in the cities. At the same time, Super Network Theory (SNT) has advantages in displaying the multi-layer transport hubs. The aim of this paper is to provide a new perspective to study connectivity contribution of potential hubs. Urban transport hubs are ranked through topological features based on Hub Super Network (HSN). This paper proposes two indexes based on Super-Edge (SE), Zero Hub Degree of SE (ZHDoSE) and a number of shared SEes (NSSE), respectively. Then, a case study was conducted in Beijing, which considers four combinations to study the influence of transport modes and subway lines on connectivity. The results show that no-normalization strengthens the contribution of transport modes and subway lines on connectivity. Besides, the transport mode contributes a lot to the connectivity. However, elements normalization strengthens the subway lines under ZHDoSE reciprocal. In addition, various weights of ZHDoSE and NSSE have different influences on the recognition results of SEes in HSN.  

scholarly journals A Comparison of the Logical Structure of Marx and Marcuse's Alienation Theory

2020 ◽  
Vol 16 (8) ◽  
pp. 96
Author(s):  
Yu Feng
Keyword(s):  
Social Criticism ◽  
Basic Structure ◽  
Logical Structure ◽  
New Method ◽  
Industrial Society ◽  
New Era ◽  
The Real ◽  
Internal Logic ◽  
Comprehensive Comparison ◽  
New Perspective

“Economic & Philosophic Manuscripts of 1844” is one of Marx's early important works. In the manuscript, Marx, based on his criticism of "alienated labor", provided a new method or a new perspective for people to analyze practical problems. Marcuse inherited Marx's theory of "alienation" and depicted the historical prospect of "comprehensive alienation" in developed industrial society. Starting from Hegel, this paper analyzes and reveals the basic structure of alienation logic. Based on this, a systematic and comprehensive comparison is made between Marx's theory of alienation and Marcuse's theory of alienation from two aspects: the internal logic of alienation and the external logic of alienation. The final aim is to show Marcuse's inheritance and transcendence of Marx's theory of alienation. Marcuse basically followed the logical structure of Marx's alienation theory and abandoned the application of this concept in speculative sense. Marcuse based on the reality of the development of capitalism in new era, developed it into a theory of social criticism, and even regarded it as the inner motive force of the real political revolution.

A New Perspective on the Relationships between Individual Factors and Time Estimates

2020 ◽  
Vol 8 (1) ◽  
pp. 25-54 ◽  
Author(s):  
Nicolas Bisson ◽  
Simon Grondin
Keyword(s):  
Daily Life ◽  
Research Field ◽  
New Method ◽  
Individual Factors ◽  
Time Estimate ◽  
Time Estimates ◽  
Within Subjects ◽  
New Perspective

Despite its abundant literature, the timing research field does not offer any comparison of prospective and retrospective time estimates emerging from a within-subjects design. Likewise, the relationships between these estimates and individual factors, within such a design, have never been investigated. The present study addresses these issues. Ninety-two participants retrospectively and prospectively estimated the duration of an Internet surfing task and completed several questionnaires (e.g., personality). Results showed that (a) prospective time estimates were longer than retrospective ones for only 58% of the participants and (b) the relationships between individual factors and time estimates differed as a function of the fact that a participant had or not a longer prospective time estimate. The discussion explains the methodological, theoretical and practical impacts emerging from this new method for studying the relationships between individual factors and time estimates in daily life-like situations.

scholarly journals Charge-Order on the Triangular Lattice: A Mean-Field Study for the Lattice S = 1/2 Fermionic Gas

Nanomaterials ◽  
2021 ◽  
Vol 11 (5) ◽  
pp. 1181
Author(s):  
Konrad Jerzy Kapcia
Keyword(s):  
Phase Diagrams ◽  
Triangular Lattice ◽  
Lattice Gas ◽  
Nearest Neighbor ◽  
Crystal Surface ◽  
Hexagonal Lattice ◽  
Mean Field ◽  
Single Layer ◽  
Charge Order ◽  
Mean Field Approximation

The adsorbed atoms exhibit tendency to occupy a triangular lattice formed by periodic potential of the underlying crystal surface. Such a lattice is formed by, e.g., a single layer of graphane or the graphite surfaces as well as (111) surface of face-cubic center crystals. In the present work, an extension of the lattice gas model to S=1/2 fermionic particles on the two-dimensional triangular (hexagonal) lattice is analyzed. In such a model, each lattice site can be occupied not by only one particle, but by two particles, which interact with each other by onsite U and intersite W1 and W2 (nearest and next-nearest-neighbor, respectively) density-density interaction. The investigated hamiltonian has a form of the extended Hubbard model in the atomic limit (i.e., the zero-bandwidth limit). In the analysis of the phase diagrams and thermodynamic properties of this model with repulsive W1>0, the variational approach is used, which treats the onsite interaction term exactly and the intersite interactions within the mean-field approximation. The ground state (T=0) diagram for W2≤0 as well as finite temperature (T>0) phase diagrams for W2=0 are presented. Two different types of charge order within 3×3 unit cell can occur. At T=0, for W2=0 phase separated states are degenerated with homogeneous phases (but T>0 removes this degeneration), whereas attractive W2<0 stabilizes phase separation at incommensurate fillings. For U/W1<0 and U/W1>1/2 only the phase with two different concentrations occurs (together with two different phase separated states occurring), whereas for small repulsive 0<U/W1<1/2 the other ordered phase also appears (with tree different concentrations in sublattices). The qualitative differences with the model considered on hypercubic lattices are also discussed.

scholarly journals Three Interactions of Holes in Two Dimensional Dimer Systems

10.37236/6353 ◽  
2017 ◽  
Vol 24 (2) ◽  
Author(s):  
Tomack Gilmore
Keyword(s):  
Free Boundary ◽  
Half Plane ◽  
Triangular Lattice ◽  
Hexagonal Lattice ◽  
Side Length ◽  
Two Dimensional ◽  
Entire Plane ◽  
Fixed Boundary ◽  
Asymptotic Expressions ◽  
Electrostatic Phenomena

Consider the unit triangular lattice in the plane with origin $O$, drawn so that one of the sets of lattice lines is vertical. Let $l$ and $l'$ denote respectively the vertical and horizontal lines that intersect $O$. Suppose the plane contains a pair of triangular holes of side length two, distributed symmetrically with respect to $l$ and $l'$ and oriented so that both holes point toward the origin. In the following article rhombus tilings of three different regions of the plane are considered, namely: tilings of the entire plane; tilings of the half plane that lies to the left of $l$ (where $l$ is considered a free boundary, so unit rhombi are allowed to protrude halfway across it); and tilings of the half plane that lies just below the fixed boundary $l'$. Asymptotic expressions for the interactions of the triangular holes in these three different regions are obtained thus providing further evidence for Ciucu's ongoing program that seeks to draw parallels between gaps in dimer systems on the hexagonal lattice and certain electrostatic phenomena.

scholarly journals Ising Model on a Triangular Lattice with Three-spin Interactions. I. The Eigenvalue Equation

1974 ◽  
Vol 27 (3) ◽  
pp. 357 ◽  
Author(s):  
RJ Baxter ◽  
FY Wu
Keyword(s):  
Ising Model ◽  
Transfer Matrix ◽  
Triangular Lattice ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Hexagonal Lattice ◽  
Eigenvalue Equation ◽  
Spin Interactions ◽  
A Site

It is shown that the Ising model with three-spin interactions on a triangular lattice is equivalent to a site-colouring problem on a hexagonal lattice. The transfer matrix method is then used to solve the colouring problem. The colouring of two neighbouri

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