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2,194 Results Found

  • Communication
  • Open Access
25 Citations
6,478 Views
14 Pages

17 February 2020

An important body of quantitative linguistics is constituted by a series of statistical laws about language usage. Despite the importance of these linguistic laws, some of them are poorly formulated, and, more importantly, there is no unified framewo...

  • Article
  • Open Access
16 Citations
7,127 Views
15 Pages

A Scaling Law for SPAD Pixel Miniaturization

  • Kazuhiro Morimoto and
  • Edoardo Charbon

15 May 2021

The growing demands on compact and high-definition single-photon avalanche diode (SPAD) arrays have motivated researchers to explore pixel miniaturization techniques to achieve sub-10 μm pixels. The scaling of the SPAD pixel size has an impact on key...

  • Article
  • Open Access
3 Citations
3,485 Views
15 Pages

15 June 2022

The law of urban scaling implies that there is a universally applicable nonlinear scaling relationship between population size and urban indicators, which is a method of quantitative analysis that can reflect the growth law and internal logic of the...

  • Article
  • Open Access
7 Citations
3,630 Views
23 Pages

14 October 2022

Urban resilience, as an emerging research focus in urban studies, is the capability of an urban system to adapt to the uncertainties and disturbances faced by modern cities. Numerical characterization of an urban system’s resilience can be perf...

  • Article
  • Open Access
2 Citations
1,417 Views
25 Pages

13 September 2024

Accurate characterization of soil hydraulic conductivity influenced by temperature under a centrifugal environment is important for hydraulic and geotechnical engineering. Therefore, a temperature-influenced scaling law for hydraulic conductivity of...

  • Communication
  • Open Access
2 Citations
2,563 Views
14 Pages

A Novel Approach to Predicting Urban Expansion by the Urban Scaling Law at a Single-City Scale

  • Haipeng Ye,
  • Zhuofan Zheng,
  • Xintong Liu,
  • Shu Wang and
  • Hongrui Zhao

2 September 2023

Rapid urban expansion caused by vigorous urban population growth brought up various socioeconomic and eco-environmental problems, which have important ramifications for sustainable development across the world. Along with the accelerated urbanization...

  • Article
  • Open Access
8 Citations
5,210 Views
15 Pages

30 June 2016

Two modeling approaches, the scaling-law and CFD (Computational Fluid Dynamics) approaches, are presented in this paper. To save on experimental cost of the pilot plant, the scaling-law approach as a low-computational-cost method was adopted and a sm...

  • Article
  • Open Access
1,714 Views
15 Pages

24 April 2023

Gelation through the liquid-liquid contact between a polymer solution and a gelator solution has been attempted with various combinations of gelator and polymer solutions. In many combinations, the gel growth dynamics is expressed as X∼t, where X...

  • Article
  • Open Access
1 Citations
3,989 Views
15 Pages

2 March 2018

It was recently studied how to achieve the optimal degrees of freedom (DoF) in a multi-antenna full-duplex system with partial channel state information (CSI). In this paper, we revisit the DoF of a multiple-antenna full-duplex system using opportuni...

  • Article
  • Open Access
5 Citations
3,008 Views
24 Pages

Scaling Law, Confined and Surface Modes in Photonic Fibonacci Stub Structures: Theory and Experiment

  • Hassan Aynaou,
  • Abdelkader Mouadili,
  • Noama Ouchani,
  • El Houssaine El Boudouti,
  • Abdellatif Akjouj and
  • Bahram Djafari-Rouhani

3 November 2020

We investigate both theoretically and experimentally the properties of electromagnetic waves propagation and localization in periodic and quasi-periodic stub structures of Fibonacci type. Each block constituting the Fibonacci sequence (FS) is compose...

  • Article
  • Open Access
2 Citations
2,024 Views
19 Pages

8 October 2024

Radiative natural convection is of vital importance in the process of energy storage, power generation, and thermal storage technology. As the attenuation coefficients of many heat transfer media in these fields are high enough to be considered as op...

  • Article
  • Open Access
10 Citations
5,752 Views
13 Pages

21 February 2014

We present a modeling study of photoinitiated polymerization in a thick polymer-absorbing medium using a focused UV laser. Transient profiles of the initiator concentration at various focusing conditions are analyzed to define the polymerization boun...

  • Article
  • Open Access
6 Citations
2,373 Views
14 Pages

Studying the spatial-temporal distribution industrial sprawl in China is important to solve industrial sprawl problems and promote urban sustainable development. This paper constructed a multi-level spatial analysis of the Chinese industrial sprawl d...

  • Article
  • Open Access
19 Citations
14,717 Views
12 Pages

6 May 2022

Piezoelectric energy harvesting from roadways, which converts ambient vibration energy of roads into electric energy, has a wide range of potential applications in intelligent transportation systems. On-site open-traffic tests revealed that energy ha...

  • Communication
  • Open Access
2,285 Views
17 Pages

Robust Estimation of Earthquake Magnitude in Indonesia Using PGD Scaling Law from Regional High-Rate GNSS Data

  • Thomas Hardy,
  • Irwan Meilano,
  • Hasanuddin Z. Abidin,
  • Susilo,
  • Ajat Sudrajat,
  • Supriyanto Rohadi,
  • Retno Agung P. Kambali,
  • Aditya Rahman,
  • Brilian Tatag Samapta and
  • Muhammad Al Kautsar
  • + 2 authors

1 July 2025

The accurate and timely estimation of earthquake magnitude is essential for effective tsunami early warning, particularly in seismically active regions such as Indonesia. Conventional seismic approaches are often hindered by magnitude saturation in s...

  • Article
  • Open Access
1 Citations
1,423 Views
19 Pages

6 August 2025

Ashby’s law of requisite variety allows a comparison of systems with their environments, providing a necessary (but not sufficient) condition for system efficacy: A system must possess at least as much complexity as any set of environmental beh...

  • Article
  • Open Access
975 Views
8 Pages

Mott Law exp(T0/T)1/4 and Scaling Properties of the Oxygen-Deficient Tenorite CuO0.75

  • Danijel Djurek,
  • Mladen Prester,
  • Djuro Drobac,
  • Vilko Mandić and
  • Damir Pajić

The novel sub-stoichiometric copper oxide CuO0.75 was prepared via the slow oxidation of Cu2O. This compound retains the original crystallographic structure of tenorite CuO, despite the considerable presence of disordered oxygen vacancies. CuO0.75 re...

  • Article
  • Open Access
1,870 Views
16 Pages

Impact of Regional Differences in Risk Attitude on the Power Law at the Urban Scale

  • Mengdi Xia,
  • Zhangwei Lu,
  • Lihua Xu,
  • Yijun Shi,
  • Qiwei Ma,
  • Yaqi Wu and
  • Boyuan Sheng

14 October 2022

Internal mechanisms and laws exist in the evolution of cities, and the power law is widely applied in multiple areas in the real world. It is crucial to optimize the urban-scale systems through explanation studies of the urban-scale distribution patt...

  • Feature Paper
  • Article
  • Open Access
18 Citations
5,333 Views
15 Pages

Scaling-Laws of Flow Entropy with Topological Metrics of Water Distribution Networks

  • Giovanni Francesco Santonastaso,
  • Armando Di Nardo,
  • Michele Di Natale,
  • Carlo Giudicianni and
  • Roberto Greco

30 January 2018

Robustness of water distribution networks is related to their connectivity and topological structure, which also affect their reliability. Flow entropy, based on Shannon’s informational entropy, has been proposed as a measure of network redundancy an...

  • Article
  • Open Access
1 Citations
3,475 Views
20 Pages

Considerations on Stellarator’s Optimization from the Perspective of the Energy Confinement Time Scaling Laws

  • Andrea Murari,
  • Emmanuele Peluso,
  • Luca Spolladore,
  • Jesus Vega and
  • Michela Gelfusa

10 March 2022

The Stellarator is a magnetic configuration considered a realistic candidate for a future thermonuclear fusion commercial reactor. The most widely accepted scaling law of the energy confinement time for the Stellarator is the ISS04, which employs a r...

  • Article
  • Open Access
34 Citations
15,649 Views
18 Pages

22 April 2014

The modeling of the cardiovascular system of mammals is discussed within the framework of governing allometric relations and related scaling laws for mammals. An earlier theory of the writer for resting-state cardiovascular function is reviewed and s...

  • Article
  • Open Access
1 Citations
849 Views
8 Pages

Scaling Laws in Language Families

  • Maelyson Rolim Fonseca dos Santos and
  • Marcelo Andrade de Filgueiras Gomes

31 May 2025

This article investigates scaling laws within language families using data from over six thousand languages and analyzes emergent patterns observed in Zipf-like classification graphs. Both macroscopic (based on the number of languages by family) and...

  • Article
  • Open Access
1 Citations
1,209 Views
25 Pages

The observed scaling properties in the three aftershock sequences of the recent strong earthquakes of magnitudes Mw 6.1, Mw 6.4 and Mw 6.7, which occurred in the Ionian island region on the 26 January 2014 (onshore Cephalonia Island), 17 November 201...

  • Article
  • Open Access
621 Views
10 Pages

A Preliminary Study on the Principle of Linear Effect Scaling Laws for Laser Atmospheric Transmission

  • Xin Ye,
  • Chengyu Fan,
  • Wenyue Zhu,
  • Pengfei Zhang,
  • Xianmei Qian,
  • Jinghui Zhang and
  • Tao Jiang

Numerical simulations were performed to rapidly predict and evaluate laser beam expansion caused by linear atmospheric transmission effects, such as turbulence and jitter, thereby enhancing the accuracy of the scaling law. Simulation results indicate...

  • Article
  • Open Access
5 Citations
5,351 Views
10 Pages

9 May 2017

This paper presents a spring-fiber bundle model used to describe the failure process induced by energy release in heterogeneous materials. The conditions that induce catastrophic failure are determined by geometric conditions and energy equilibrium....

  • Article
  • Open Access
26 Citations
8,856 Views
12 Pages

Molecular Dynamics Simulations for Resolving Scaling Laws of Polyethylene Melts

  • Kazuaki Z. Takahashi,
  • Ryuto Nishimura,
  • Kenji Yasuoka and
  • Yuichi Masubuchi

12 January 2017

Long-timescale molecular dynamics simulations were performed to estimate the actual physical nature of a united-atom model of polyethylene (PE). Several scaling laws for representative polymer properties are compared to theoretical predictions. Inter...

  • Article
  • Open Access
2,252 Views
10 Pages

10 August 2025

Public stigma toward psychological help-seeking is a critical barrier to mental health service utilization, particularly among university students in culturally conservative and academically demanding disciplines such as law. In China, where Confucia...

  • Article
  • Open Access
709 Views
17 Pages

Development and Validation of the Future Career Insecurity Scale (FCIS) in Law Students

  • Cuiyu Lan,
  • Xinying Weng,
  • Qi-Lu Huang,
  • Liqian Yu,
  • Ruizhe Wang,
  • Jie Su,
  • Tianshu Zhou,
  • Tingjian Lou,
  • Yinlin Li and
  • Wei Li

20 November 2025

The transition from university to the workforce is a major developmental milestone that can generate significant psychological distress, especially for students in high-stakes professional programs such as law. Traditional measures of career-related...

  • Article
  • Open Access
4 Citations
2,070 Views
36 Pages

18 July 2024

Experimental analysis on small-scale models is widely used to predict the dynamic responses of full-scale structures subjected to impact loads. However, due to manufacturing constraints, achieving a perfectly scaled model under a large scaling factor...

  • Article
  • Open Access
8 Citations
7,121 Views
6 Pages

1 March 2012

Past work has demonstrated the value of a random walk theory (RWT) to solve multiple-scattering problems arising in numerous contexts. This paper’s goal is to investigate the application range of the RWT using Monte Carlo simulations and extending it...

  • Review
  • Open Access
10 Citations
8,244 Views
25 Pages

22 April 2014

In this review, we focus on the electrical conductivity of aqueous polyelectrolyte solutions in the light of the dynamic scaling laws, recently proposed by Dobrynin and Rubinstein, to take into account the polymer conformations in different concentra...

  • Communication
  • Open Access
7 Citations
1,917 Views
9 Pages

Scaling Law of THz Yield from Two-Color Femtosecond Filament for Fixed Pump Power

  • Irina A. Nikolaeva,
  • Daniil E. Shipilo,
  • Nikolay A. Panov,
  • Weiwei Liu,
  • Andrei B. Savel’ev and
  • Olga G. Kosareva

12 December 2022

In 3D + time numerical simulations, we study the wavelength scaling law for the energy of terahertz (THz) radiation emitted from a two-color femtosecond filament, which forms during cofocusing into air the fundamental and second harmonics of the lase...

  • Article
  • Open Access
5 Citations
2,838 Views
18 Pages

Urban scaling law provides a quantitative understanding of the fundamental nonlinear properties of how cities work. Addressing this, this study intended to examine the potential scaling law that may lie in urban air pollution. With ground-monitored P...

  • Article
  • Open Access
6 Citations
1,594 Views
17 Pages

9 September 2024

In order to clarify the water invasion law and residual gas distribution characteristics in edge and bottom water gas reservoirs with multi-well development, a large-scale three-dimensional physical simulation model was developed and a physical simul...

  • Article
  • Open Access
7 Citations
4,309 Views
15 Pages

Scaling Law in Laser-Induced Shock Effects of NiTi Shape Memory Alloy

  • Xi Wang,
  • Weiguang Xia,
  • Xianqian Wu and
  • Chenguang Huang

10 March 2018

The shock effects in laser shock processing of NiTi shape memory alloy were studied by dimensional analysis and finite element simulation. The essential dimensionless parameters controlling the residual stress distribution and plastically affected de...

  • Article
  • Open Access
6 Citations
3,223 Views
10 Pages

3 October 2020

In a recent experimental study of indentation creep, the strain rate sensitivity (SRS) and activation volume v* have been noticed to be dependent on the indentation depth or loading force for face-centered cubic materials. Although several possible i...

  • Article
  • Open Access
5 Citations
1,557 Views
24 Pages

A New Approach in Heat Transfer Analysis: Reduced-Scale Straight Bars with Massive and Square-Tubular Cross-Sections

  • Gábor Turzó,
  • Ildikó-Renáta Száva,
  • Sándor Dancsó,
  • Ioan Száva,
  • Sorin Vlase,
  • Violeta Munteanu,
  • Teofil Gălățanu and
  • Zsolt Asztalos

8 October 2022

This paper reports experimental and theoretical result derived from research on steel structural elements’ fire-protection with intumescent paint. The experimental results were obtained by means of an original testing bench, briefly described below a...

  • Article
  • Open Access
18 Citations
2,665 Views
21 Pages

7 October 2022

Size-dependent functionally graded material thin plate buckling and post-buckling problems are considered using the framework of the MCST (Modified Couple Stress Theory). Based on modified couple stress theory and power law, the post-buckling deflect...

  • Article
  • Open Access
4 Citations
2,271 Views
22 Pages

30 April 2023

Urban growth has evolved from cities to metropolitan areas and urban agglomerations, exhibiting a multi-scale pattern. Urban scaling law can reflect the nonlinear relationship between urban indicators and population size, which is very important for...

  • Article
  • Open Access
1 Citations
1,654 Views
17 Pages

Linear Irreversible Thermodynamics: A Glance at Thermoelectricity and the Biological Scaling Laws

  • Juan Carlos Chimal-Eguia,
  • Ricardo Teodoro Páez-Hernández,
  • Juan Carlos Pacheco-Paez and
  • Delfino Ladino-Luna

23 November 2023

This paper presents so-called thermoelectric generators (TEGs), which are considered thermal engines that transform heat into electricity using the Seebeck effect for this purpose. By using linear irreversible thermodynamics (LIT), it is possible to...

  • Article
  • Open Access
3 Citations
1,890 Views
11 Pages

12 April 2022

Similarity laws of scaled models of offshore platform deck structures under low velocity impact loading are proposed in the present research. The similarity laws of scaled models with different scaling factors are established in forms of dimensionles...

  • Article
  • Open Access
10 Citations
4,860 Views
20 Pages

The Scale-Dependent Behaviour of Cities: A Cross-Cities Multiscale Driver Analysis of Urban Energy Use

  • Yves Bettignies,
  • Joao Meirelles,
  • Gabriela Fernandez,
  • Franziska Meinherz,
  • Paul Hoekman,
  • Philippe Bouillard and
  • Aristide Athanassiadis

12 June 2019

Hosting more than half of the world population, cities are currently responsible for two thirds of the global energy use and three quarters of the global CO2 emissions related to energy use. As humanity becomes more urbanized, urban systems are becom...

  • Article
  • Open Access
5 Citations
3,566 Views
12 Pages

Jet Dynamics Associated with Drop Impact on Micropillared Substrate

  • Brooklyn Asai,
  • Anayet Ullah Siddique and
  • Hua Tan

12 April 2021

The jetting phenomenon associated with droplet impact upon a hydrophilic micropillared substrate was analyzed in detail using a high-speed camera. Viscosities of the fluids were varied using differing concentrations of glycerol in deionized water. Th...

  • Article
  • Open Access
4 Citations
2,550 Views
18 Pages

28 February 2023

Fully or partially sealing the openings of tunnels to accelerate the self-extinction of fires provides a promising firefighting tactic to beat large fires in a long tunnel. So far, most experimental studies on the characteristics of fire with differe...

  • Article
  • Open Access
1 Citations
2,549 Views
14 Pages

13 July 2022

Gas-liquid two-phase flow patterns and gas slug hydrodynamics were experimentally studied in three Y-junctions with different junction angles of 60°, 90° and 120°. Microbubbles were generated in the sodium alginate aqueous solution with t...

  • Feature Paper
  • Article
  • Open Access
10 Citations
2,483 Views
17 Pages

24 October 2023

On the basis of a general action principle, we revisit the scale invariant field equation using the cotensor relations by Dirac (1973). This action principle also leads to an expression for the scale factor λ, which corresponds to the one deri...

  • Article
  • Open Access
3 Citations
1,362 Views
14 Pages

Machine Learning Analysis of Umbilic Defect Annihilation in Nematic Liquid Crystals in the Presence of Nanoparticles

  • Ingo Dierking,
  • Adam Moyle,
  • Gabriele Maria Cepparulo,
  • Katherine Skingle,
  • Laura Hernández and
  • Juhan Raidal

24 February 2025

Machine learning-based image recognition is employed to investigate the annihilation dynamics of umbilic defects induced in systems of nematic liquid crystals doped with nanoparticles. A machine learning methodology based on a YOLO algorithm is train...

  • Article
  • Open Access
526 Views
28 Pages

Numerical Validation of a Multi-Dimensional Similarity Law for Scaled STOVL Aircraft Models

  • Shengguan Xu,
  • Mingyu Li,
  • Xiance Wang,
  • Yanting Song,
  • Bingbing Tang,
  • Lianhe Zhang,
  • Shuai Yin and
  • Jianfeng Tan

9 October 2025

The complex jet-ground interactions of Short Take-off and Vertical Landing (STOVL) aircraft are critical to flight safety and performance, yet studying them with traditional full-scale wind tunnel tests is prohibitively expensive and time-consuming,...

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