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We study a random circuit model of constrained fracton dynamics, in which particles on a one-dimensional lattice undergo random local motion subject to both charge and dipole moment conservation. The configuration space of this system…

统计力学 · 物理学 2023-02-08 Calvin Pozderac , Steven Speck , Xiaozhou Feng , David A. Huse , Brian Skinner

An improved estimate is obtained for the mean square of the modulus of the zeta function on the critical line. It is based on the decoupling techniques in harmonic analysis developed in [B-D]

数论 · 数学 2015-05-18 Jean Bourgain , Nigel Watt

In order to estimate roughness exponents of interface growth models, we propose the calculation of effective exponents from the roughness fluctuation (sigma) in the steady state. We compare the finite-size behavior of these exponents and…

统计力学 · 物理学 2016-08-31 Fabio D. A. Aarao Reis

We investigate the effects of roughness and fractality on the normal contact stiffness of rough surfaces. Samples of isotropically roughened aluminium surfaces are considered. The roughness and fractal dimension were altered through…

In this work, the finite elements method (FEM) is used to analyse the growth of fretting cracks. FEM can be favourably used to extract the stress intensity factors in mixed mode, a typical situation for cracks growing in the vicinity of a…

地球物理 · 物理学 2011-02-24 Henry Proudhon , Stéphanie Basseville

Predicting the mechanical response of the soft gel materials under external deformation is of paramount importance in many areas, such as foods, pharmaceuticals, solid-liquid separations, cosmetics, aerogels and drug delivery. Most of the…

软凝聚态物质 · 物理学 2023-05-22 Divas Singh Dagur , Yezaz Ahmed Gadi Man , Saikat Roy

Jammed granular media and glasses exhibit spatial long-range correlations as a result of mechanical equilibrium. However, the existence of such correlations in the flowing matter, where the mechanical equilibrium is unattainable, has…

软凝聚态物质 · 物理学 2023-08-01 Hor Dashti , Abbas Ali Saberi , S. H. E. Rahbari , Jürgen Kurths

Using grand canonical Monte Carlo simulations, we investigate the percolation behavior of a square well fluid with an ultra-short range of attraction in three dimension (3D) and in confined geometry. The latter is defined through two…

软凝聚态物质 · 物理学 2012-11-07 Helge Neitsch , Sabine H. L. Klapp

We report results on the interrelation between driving force, roughness exponent, branching and crack speed in a finite element model. We show that for low applied loadings the crack speed reaches the values measured in the experiments, and…

材料科学 · 物理学 2007-05-23 Andrea Parisi , Robin C. Ball

We propose a method of studying the continuous percolation of aligned objects as a limit of a corresponding discrete model. We show that the convergence of a discrete model to its continuous limit is controlled by a power-law dependency…

统计力学 · 物理学 2016-10-27 Zbigniew Koza , Jakub Poła

We examine whether cubic non-linearities, allowed by symmetry in the elastic energy of a contact line, may result in a different universality class at depinning. Standard linear elasticity predicts a roughness exponent zeta=1/3 (one loop),…

软凝聚态物质 · 物理学 2013-05-29 Pierre Le Doussal , Kay Joerg Wiese , Elie Raphael , Ramin Golestanian

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

We calculate analytically the proportionality constant in the pressure law of a membrane between parallel walls from the strong-coupling limit of variational perturbation theory up to third order. Extrapolating the zeroth to third…

凝聚态物理 · 物理学 2009-10-31 M. Bachmann , H. Kleinert , A. Pelster

We investigate the role of disorder on the fracturing process of heterogeneous materials by means of a two-dimensional fuse network model. Our results in the extreme disorder limit reveal that the backbone of the fracture at collapse,…

无序系统与神经网络 · 物理学 2014-10-01 A. A. Moreira , C. L. N. Oliveira , A. Hansen , N. A. M. Araujo , H. J. Herrmann , J. S. Andrade

Classification of vertebral compression fractures (VCF) having osteoporotic or neoplastic origin is fundamental to the planning of treatment. We developed a fracture classification system by acquiring quantitative morphologic and bone…

计算机视觉与模式识别 · 计算机科学 2016-11-15 Yinong Wang , Jianhua Yao , Joseph E. Burns , Ronald M. Summers

Measurements of the ZZ production cross sections in proton-proton collisions at center-of-mass energies of 7 and 8 TeV are presented. Candidate events for the leptonic decay mode ZZ to 2 l 2 nu, where l denotes an electron or a muon, are…

高能物理 - 实验 · 物理学 2015-11-13 CMS Collaboration

We introduce a model for the dynamics of mud cracking in the limit of of extremely thin layers. In this model the growth of fracture proceeds by selecting the part of the material with the smallest (quenched) breaking threshold. In…

凝聚态物理 · 物理学 2009-10-31 A. Gabrielli , R. Cafiero , G. Caldarelli

We study size effects in the fracture strength of notched disordered samples using numerical simulations of lattice models for fracture. In particular, we consider the random fuse model, the random spring model and the random beam model,…

材料科学 · 物理学 2008-04-15 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

We demonstrate that like in the forward cascade of three dimensional turbulence that displays intermittency (lack of self-similarity) due to the concentration of energy dissipation in a small set of fractal dimension less than three, the…

流体动力学 · 物理学 2022-06-07 George Sofiadis , Ioannis E. Sarris , Alexandros Alexakis

We consider the three-dimensional site-diluted Ising model with power-law correlated defects and study the critical behavior of the second-moment correlation length and the magnetic susceptibility in the high-temperature phase. By…

统计力学 · 物理学 2023-03-06 S. Kazmin , W. Janke