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We analyze the scaling of avalanche precursors in the three dimensional random fuse model by numerical simulations. We find that both the integrated and non-integrated avalanche size distributions are in good agreement with the results of…

统计力学 · 物理学 2016-08-16 Stefano Zapperi , Phani Kumar V. V. Nukala , Srđan Šimunović

The rigidity of elastic networks depends sensitively on their internal connectivity and the nature of the interactions between constituents. Particles interacting via central forces undergo a zero-temperature rigidity-percolation transition…

软凝聚态物质 · 物理学 2011-12-08 Chase P. Broedersz , Xiaoming Mao , T. C. Lubensky , F. C. MacKintosh

A phase diagram for a one-dimensional fiber bundle model is constructed with a continuous variation in two parameters guiding the dynamics of the model: strength of disorder and range of stress relaxation. When the range of stress…

统计力学 · 物理学 2022-02-22 Subhadeep Roy

In this paper, we present a critical overview of statistical fiber bundles models. We discuss relevant aspects, like assumptions and consequences stemming from models in the literature and propose new ones. This is accomplished by…

材料科学 · 物理学 2023-01-26 James U. Gleaton , David Han , James D. Lynch , Hon Keung Tony Ng , Fabrizio Ruggeri

We study the cooperative rupture of multiple adhesion bonds under shared linear loading. Simulations of the appropriate Master equation are compared with numerical integration of a rate equation for the mean number of bonds and its scaling…

软凝聚态物质 · 物理学 2007-05-23 T. Erdmann , U. S. Schwarz

By comparing the evolution of the local and equal load sharing fiber bundle models, we point out the paradoxical result that stresses seem to make the local load sharing model stable when the equal load sharing model is not. We explain this…

无序系统与神经网络 · 物理学 2019-08-06 Jonas T. Kjellstadli , Eivind Bering , Martin Hendrick , Srutarshi Pradhan , Alex Hansen

We introduce a model for granular avalanching which exhibits both stretched exponential and power law avalanching over its parameter range. Two modes of transport are incorporated, a rolling layer consisting of individual particles and the…

统计力学 · 物理学 2009-10-31 D. A. Head , G. J. Rodgers

This work proposes a statistical model for crossover trials with multiple skewed responses measured in each period. A 3 $\times$ 3 crossover trial data where different drug doses were administered to subjects with a history of seasonal…

统计方法学 · 统计学 2026-04-09 Savita Pareek , Kalyan Das , Siuli Mukhopadhyay

We consider a load balancing system comprised of a fixed number of single server queues, operating under the well-known Join-the-Shortest Queue policy, and where jobs/customers are impatient and abandon if they do not receive service after…

概率论 · 数学 2023-04-05 Prakirt Raj Jhunjhunwala , Martin Zubeldia , Siva Theja Maguluri

We study the constitutive behaviour, the damage process, and the properties of bursts in the continuous damage fiber bundle model introduced recently. Depending on its two parameters, the model provides various types of constitutive…

统计力学 · 物理学 2019-05-15 Raul Cruz Hidalgo , Ferenc Kun , Hans. J. Herrmann

In this work I have studied the effect of disorder and system size in fiber bundle model with a certain range of stress redistribution. The strength of the bundle as well as the failure abruptness is observed with varying disorder, stress…

统计力学 · 物理学 2017-11-02 Subhadeep Roy

We study the elasticity of random stiff fiber networks. The elastic response of the fibers is characterized by a central force stretching stiffness as well as a bending stiffness that acts transverse to the fiber contour. Previous studies…

软凝聚态物质 · 物理学 2007-10-02 Claus Heussinger , Erwin Frey

High penetration of renewable resources results in a power system with lower inertia and higher frequency sensitivity to power imbalances. Such systems are becoming increasingly susceptible to frequency collapse during extreme disturbances.…

系统与控制 · 电气工程与系统科学 2024-01-11 Waheed Owonikoko , Mazen Elsaadany , Amritanshu Pandey , Mads R. Almassalkhi

In this short paper, we propose a new multi-fractal flow model, aiming to provide a possible explanation for the crossover phenomena that appear in the estimation of Hurst exponent for network traffic. It is shown that crossover occurs if…

网络与互联网体系结构 · 计算机科学 2009-06-03 Li Li , Yudong Chen , Yi Zhang

Due to the energy transition, today's electrical networks include synchronous machines and inverter-based resources interfacing renewable energies such as wind turbines, solar panels, and Battery Energy Storage Systems to the grid. In such…

系统与控制 · 电气工程与系统科学 2024-02-08 Pamela Zoghby , Bogdan Marinescu , Antoine Rosse , Gregoire Prime

We report a novel critical behavior in the breakdown of an equal load sharing fiber bundle model at a dispersion $\delta_c$ of the breaking threshold of the fibers. For $\delta < \delta_c$, there is a finite probability $P_b$, that…

统计力学 · 物理学 2014-12-04 Subhadeep Roy , Purusattam Ray

Data collected from a bike-sharing system exhibit complex temporal and spatial features. We analyze shared-bike usage data collected in three large cities at the level of individual stations, accounting for station-specific behavior and…

应用统计 · 统计学 2024-08-27 Yunjin Choi , Haeran Cho , Hyelim Son

This study investigates the influence of fiber spatial distribution on the transverse mechanical properties of unidirectionally reinforced continuous-fiber composites. A Swelling & Random Migration algorithm was employed to generate…

计算工程、金融与科学 · 计算机科学 2026-05-28 Sergejs Tarasovs , Janis Modniks , Andrea Bercini Martins , Christina Scheffler , Janis Andersons

Recent advances in metagenomics have revealed macroecological patterns or "laws" describing robust statistical regularities across microbial communities. Stochastic logistic models (SLMs), which treat species as independent -- akin to ideal…

Site-specific flow and turbulence information are needed for various practical applications, ranging from aerodynamic/aeroelastic modeling for wind turbine design to optical diffraction calculations. Even though highly desirable, collecting…

大气与海洋物理 · 物理学 2013-07-10 Yao Wang , Sukanta Basu , Lance Manuel