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In this note we formulate a finite dimensional generalization of the Random Energy Model (REM) where we introduce a geometry and spatial correlations between energies. We study the model in dimension one by transfer matrix techniques and we…

无序系统与神经网络 · 物理学 2009-10-31 Matteo Campellone , Silvio Franz , Giorgio Parisi

We study the local load sharing fiber bundle model and its energy burst statistics. While it is known that the avalanche size distribution of the model is exponential, we numerically show here that the avalanche size ($s$) and the…

无序系统与神经网络 · 物理学 2022-03-01 Subhadeep Roy , Soumyajyoti Biswas

In many situations we are interested in the propagation of energy in some portions of a three dimensional system with dilute long-range links. In this paper sandpile model is defined on the three-dimensional small world network with real…

统计力学 · 物理学 2018-03-21 M. N. Najafi , H. Dashti-Naserabadi

Until recently obtaining data on populations of networks was typically rare. However, with the advancement of automatic monitoring devices and the growing social and scientific interest in networks, such data has become more widely…

统计方法学 · 统计学 2020-01-22 Mirko Signorelli , Ernst Wit

In heterogeneous networks, the random deployment of femto access points (FAPs) and macro base stations (MBSs) with uncoordinated channel access impose huge inter-tier interferences. In real-life networks, the process of MBSs deployment…

信息论 · 计算机科学 2017-02-21 Praful D. Mankar , Goutam Das , S. S. Pathak

We study the effect of long-range elastic interactions in the dynamical behavior of an elastic chain driven quasi-statically in a quenched random pinning potential and in the strong pinning limit. This is a generic situation occuring in…

无序系统与神经网络 · 物理学 2009-10-31 A. Tanguy , M. Gounelle , S. Roux

Heterogeneous cellular networks (HetNets) are to be deployed for future wireless communication to meet the ever-increasing mobile traffic demand. However, the dense and random deployment of small cells and their uncoordinated operation…

信息论 · 计算机科学 2014-06-10 Weili Nie , Fuchun Zheng , Xiaoming Wang , Shi Jin , Wenyi Zhang

Load balancing plays a crucial role in many large scale systems. Several different load balancing principles have been proposed in the literature, such as Join-Shortest-Queue (JSQ) and its variations, or Join-Below-Threshold. We provide a…

概率论 · 数学 2023-07-11 Illés Horváth , Márton Mészáros

We investigate a traffic model in which cars either move freely with quenched intrinsic velocities or belong to clusters formed behind slower cars. In each cluster, the next-to-leading car is allowed to pass and resume free motion. The…

统计力学 · 物理学 2009-10-31 I. Ispolatov , P. L. Krapivsky

The use of small cell deployments in heterogeneous network (HetNet) environments is expected to be a key feature of 4G networks and beyond, and essential for providing higher user throughput and cell-edge coverage. However, due to different…

网络与互联网体系结构 · 计算机科学 2015-05-08 Meryem Simsek , Mehdi Bennis , Ismail Güvenc

We use scaling results to identify the crossover to mean-field behavior of equilibrium statistical mechanics models on a variant of the small world network. The results are generalizable to a wide-range of equilibrium systems. Anomalous…

统计力学 · 物理学 2009-11-10 M. B. Hastings

We study the phase transition in a class of fiber bundle models in which the fiber strengths are distributed randomly within a finite interval and global load sharing is assumed. The dynamics is expressed as recursion relations for the…

统计力学 · 物理学 2009-11-07 Pratip Bhattacharyya , Srutarshi Pradhan , Bikas K. Chakrabarti

We investigate the effect of the amount of disorder on the statistics of breaking bursts during the quasi-static fracture of heterogeneous materials. We consider a fiber bundle model where the strength of single fibers is sampled from a…

无序系统与神经网络 · 物理学 2019-11-19 Viktoria Kadar , Ferenc Kun

A spin-$s$ variable-range interacting Ising model may display qualitatively different behaviors depending on the fall-off rate of the interactions, as already seen in equilibrium studies of spin-1/2 systems. We propose a dynamical method…

量子物理 · 物理学 2026-02-10 Keshav Das Agarwal , Debkanta Ghosh , Pritam Halder , Aditi Sen De

We study the effect of the competition between disorder and stress enhancement in fracture processes using the local load sharing fiber bundle model, a model that hovers on the border between analytical tractability and numerical…

无序系统与神经网络 · 物理学 2020-10-28 Santanu Sinha , Subhadeep Roy , Alex Hansen

We consider a stochastic sandpile where the sand-grains of unstable sites are randomly distributed to the nearest neighbors. Increasing the value of the threshold condition the stochastic character of the distribution is lost and a…

统计力学 · 物理学 2009-10-31 S. Lubeck

Intercellular exchange networks are essential for the adaptive capabilities of populations of cells. While diffusional exchanges have traditionally been difficult to map, recent advances in nanotechnology enable precise probing of exchange…

统计力学 · 物理学 2024-12-13 Luís C. F. Latoski , Andrea De Martino , Daniele De Martino

We consider the Equal-Load-Sharing Fiber Bundle Model as a model for composite materials under stress and derive elastic energy and damage energy as a function of strain. With gradual increase of stress (or strain) the bundle approaches a…

统计力学 · 物理学 2019-03-12 Srutarshi Pradhan , Jonas T. Kjellstadli , Alex Hansen

The dual-cross scenario of the hybrid wireless sensor networks (WSNs) is studied and a novel MIMO Cluster Cooperative Assignment Cross Layer Scheduling Scheme (MCCA-CLSS) is proposed in this paper. The comparison and the predominance of the…

网络与互联网体系结构 · 计算机科学 2010-08-09 Yingji Zhong , Kyung Sup Kwak , Sana Ullah

In spin-crossover materials, the volume of a molecule changes depending on whether it is in the high-spin (HS) or low-spin (LS) state. This change causes distortion of the lattice. Elastic interactions among these distortions play an…

材料科学 · 物理学 2009-11-13 Seiji Miyashita , Yusuké Konishi , Masamichi Nishino , Hiroko Tokoro , Per Arne Rikvold