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The spectral densities of the weighted Laplacian, random walk and weighted adjacency matrices associated with a random complex network are studied using the replica method. The link weights are parametrized by a weight exponent $\beta$.…

统计力学 · 物理学 2009-11-13 D. Kim , B. Kahng

The effect of coordination on transport is investigated theoretically using random networks of springs as model systems. An effective medium approximation is made to compute the density of states of the vibrational modes, their energy…

软凝聚态物质 · 物理学 2015-05-14 Matthieu Wyart

Particles confined to a single file, in a narrow quasi-one dimensional channel, exhibit a dynamic crossover from single file diffusion to Fickian diffusion as the channel radius increases and the particles can begin to pass each other. The…

软凝聚态物质 · 物理学 2017-04-27 Sheida Ahmadi , Richard K. Bowles

This paper studies numerically the Weeks-Chandler-Andersen (WCA) system, which is shown to obey hidden scale invariance with a density-scaling exponent that varies from below 5 to above 500. This unprecedented variation makes it…

软凝聚态物质 · 物理学 2021-06-30 Eman Attia , Jeppe C. Dyre , Ulf R. Pedersen

Let $G$ be a finite group. The commuting chain on $G$ moves from an element $x$ to $y$ by selecting $y$ uniformly amongst those which commute with $x$. The $t$ step transition probabilities of this chain converge to a distribution uniform…

概率论 · 数学 2020-10-19 John Rahmani

The non-equilibrium tunnel transport processes are considered in a square lattice of metallic nanogranules embedded into insulating host. Based on a simple model with three possible charging states (+,-, or 0) of a granule and three kinetic…

材料科学 · 物理学 2007-05-23 Yu. G. Pogorelov , J. F. Polido

In this paper we propose a generalized model for the motion of a two-species self-driven objects ranging from a scenario of a completely random environment of particles of negligible excluded volume to a more deterministic regime of rigid…

统计力学 · 物理学 2019-05-08 Roberto da Silva , Eduardo V. Stock

For the traditional low T_c superconductors, the superconducting condensation energy is proportional to the change in energy of the ionic lattice between the normal and superconducting state, providing a clear link between pairing and the…

超导电性 · 物理学 2009-10-31 D. J. Scalapino , Steven R. White

We consider a stylized stochastic model for a wireless CSMA network. Experimental results in prior studies indicate that the model provides remarkably accurate throughput estimates for IEEE 802.11 systems. In particular, the model offers an…

概率论 · 数学 2012-09-14 Alessandro Zocca , Sem C. Borst , Johan S. H. van Leeuwaarden

We study here the random diffusion model. This is a continuum model for a conserved scalar density field $\phi$ driven by diffusive dynamics. The interesting feature of the dynamics is that the {\it bare} diffusion coefficient $D$ is…

软凝聚态物质 · 物理学 2009-11-13 Gene F. Mazenko

Charge transport processes in disordered complex media are accompanied by anomalously slow relaxation for which usually a broad distribution of relaxation times is adopted. To account for those properties of the environment, a standard…

统计力学 · 物理学 2009-11-10 Ewa Gudowska-Nowak , Kinga Bochenek , Agnieszka Jurlewicz , Karina Weron

We introduce and analyze a new Markov model of the IEEE 802.11 Distributed Coordination Function (DCF) for wireless networks. The new model is derived from a detailed DCF description where transition probabilities are determined by precise…

网络与互联网体系结构 · 计算机科学 2014-11-06 Rui Fang , Zequn Huang , Louis F. Rossi , Chien-Chung Shen

Soft condensed matter structures often challenge us with complex many-body phenomena governed by collective modes spanning wide spatial and temporal domains. In order to successfully tackle such problems mesoscopic coarse-grained (CG)…

软凝聚态物质 · 物理学 2023-07-12 Vlad P Sokhan , Michael A Seaton , Ilian T Todorov

Weighted scale-free networks with topology-dependent interactions are studied. It is shown that the possible universality classes of critical behaviour, which are known to depend on topology, can also be explored by tuning the form of the…

The Ising model in clustered scale-free networks has been studied by Monte Carlo simulations. These networks are characterized by a degree distribution of the form P(k) ~ k^(-gamma) for large k. Clustering is introduced in the networks by…

无序系统与神经网络 · 物理学 2015-09-09 Carlos P. Herrero

We study the diffusion of influence in random multiplex networks where links can be of $r$ different types, and for a given content (e.g., rumor, product, political view), each link type is associated with a content dependent parameter…

物理与社会 · 物理学 2012-09-11 Osman Yagan , Virgil Gligor

Large-mass condensates, which coexist with a power-law-decaying distribution in the one-dimensional Takayasu model of mass aggregation with input, were recently found in numerical simulations. Here, we establish the occurrence of…

统计力学 · 物理学 2024-12-25 Reya Negi , Rajiv G Pereira , Mustansir Barma

Using random walk simulations we explore diffusive transport through monodisperse sphere packings over a range of packing fractions, $\phi$, in the vicinity of the jamming transition at $\phi_{c}$. Various diffusion properties are computed…

统计力学 · 物理学 2015-09-02 Dan S. Bolintineanu , Gary S. Grest , Jeremy B. Lechman , Leonardo E. Silbert

Many biological, ecological and economic systems are best described by weighted networks, as the nodes interact with each other with varying strength. However, most network models studied so far are binary, the link strength being either 0…

无序系统与神经网络 · 物理学 2009-11-07 S. H. Yook , H. Jeong , A. -L. Barabasi , Y. Tu

We propose a scenario in which the Planck scale is dynamically linked to the electroweak scale induced by top condensation. The standard model field content, without the Higgs, is promoted to a 5D warped background. There is also an…

高能物理 - 唯象学 · 物理学 2010-03-12 Yang Bai , Marcela Carena , Eduardo Ponton