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Correlation clustering is a widely studied framework for clustering based on pairwise similarity and dissimilarity scores, but its best approximation algorithms rely on impractical linear programming relaxations. We present faster…

数据结构与算法 · 计算机科学 2022-06-27 Nate Veldt

We study the phase diagram of a class of models in which a generalized cluster interaction can be quenched by Ising exchange interaction and external magnetic field. We characterize the various phases through winding numbers. They may be…

统计力学 · 物理学 2017-09-06 Wei Nie , Feng Mei , Luigi Amico , Leong Chuan Kwek

The close packing density of log-normal and bimodal distributed, surface-adsorbed particles or discs in 2D is studied by numerical simulation. For small spread in particle size, the system orders in a polycrystalline structure of hexagonal…

软凝聚态物质 · 物理学 2012-01-27 Robert D. Groot , Simeon D. Stoyanov

The fundamental interactions between an edge dislocation and a random solid solution are studied by analyzing dislocation line roughness profiles obtained from molecular dynamics simulations of Fe0.70Ni0.11 Cr0.19 over a range of stresses…

A possible way to extract information about the reversible dissociation of a molecular adhesion bond from force fluctuations observed in force ramp experiments is discussed. For small loading rates the system undergoes a limited number of…

统计力学 · 物理学 2015-06-18 Gregor Diezemann

This paper analyzes the compaction behavior of assemblies composed of soft (elastic) spherical particles beyond the jammed state, using three-dimensional non-smooth contact dynamic simulations. The assemblies of particles are characterized…

软凝聚态物质 · 物理学 2021-09-09 Manuel Cárdenas-Barrantes , David Cantor , Jonathan Barés , Mathieu Renouf , Emilien Azéma

Most of the research concerting crack propagation in discrete media is concerned with specific types of external loading: displacements on the boundaries, or constant energy fluxes or feeding waves originating from infinity. In this paper…

软凝聚态物质 · 物理学 2017-08-03 Nikolai Gorbushin , Gennady Mishuris

We present results from a detailed simulation of a quasi-2D dissipative granular gas, kept in a non-condensed steady state via vertical shaking over a rough substrate. This gas shows a weak power-law decay in the tails of its Pair…

软凝聚态物质 · 物理学 2015-05-19 J. A. Perera-Burgos , G. Perez-Angel , Y. Nahmad-Molinari

We study clustering in a stochastic system of particles sliding down a fluctuating surface in one and two dimensions. In steady state, the density-density correlation function is a scaling function of separation and system size.This scaling…

统计力学 · 物理学 2009-11-13 Mustansir Barma

We study a general class of percolation models in Euclidean space including long-range percolation, scale-free percolation, the weight-dependent random connection model and several other previously investigated models. Our focus is on the…

概率论 · 数学 2023-03-08 Christian Mönch

We introduce a model of fracture which includes the out-of-plane degrees of freedom necessary to describe buckling in a thin-sheet material. The model is a regular square lattice of elastic beams, rigidly connected at the nodes so as to…

软凝聚态物质 · 物理学 2007-05-23 Bjorn Skjetne , Torbjorn Helle , Alex Hansen

Models of faults incorporating slip rate- and state-dependent friction have reproduced phenomena from spontaneous slow, aseismic slip to earthquake-generating dynamic rupture. Numerical explorations of model parameter space regularly show…

地球物理 · 物理学 2026-03-26 Robert C. Viesca , Dmitry I. Garagash

We analyze damage nucleation and localization in the random fuse model with strong disorder using numerical simulations. In the initial stages of the fracture process, damage evolves in an uncorrelated manner, resembling percolation.…

统计力学 · 物理学 2009-11-10 Phani Kumar V. V. Nukala , Srdan Simunovic , Stefano Zapperi

Simple homogeneous shear flows of frictionless, deformable particles are studied by particle simulations at large shear rates and for differently soft, deformable particles. The particle stiffness sets a time-scale that can be used to scale…

软凝聚态物质 · 物理学 2024-07-25 Dalila Vescovi , Stefan Luding

We analyze a lattice model closely related to the one-dimensional inelastic gas with periodic boundary condition. The one-dimensional inelastic gas tends to form high density clusters of particles with almost the same velocity, separated by…

软凝聚态物质 · 物理学 2009-11-10 Srdjan Ostojic , Debabrata Panja , Bernard Nienhuis

We analyse the flow curves of a two-dimensional assembly of granular particles which are interacting via frictional contact forces. For packing fractions slightly below jamming, the fluid undergoes a large scale instability, implying a…

软凝聚态物质 · 物理学 2020-01-22 Shibu Saw , Mathias Grob , Annette Zippelius , Claus Heussinger

We investigate the weakening of elastic materials through randomly distributed circles and cracks numerically and compare the results to predictions from homogenization theories. We find a good agreement for the case of randomly oriented…

材料科学 · 物理学 2015-05-13 Robert Spatschek , Clemens Gugenberger , Efim Brener

We investigate non-linear scaling relations for two-dimensional gravitational collapse in an expanding background using a 2D TreePM code and study the strongly non-linear regime ($\bar\xi \leq 200$) for power law models. Evolution of these…

天体物理学 · 物理学 2007-05-23 S. Ray , J. S. Bagla , T. Padmanabhan

Electrical resistivity evolution during precipitation in Al-Sc alloys is modeled using cluster dynamics. This mesoscopic modeling has already been shown to correctly predict the time evolution of the precipitate size distribution. In this…

材料科学 · 物理学 2007-05-23 Emmanuel Clouet , Alain Barbu

We investigate the failure mechanisms of load sharing complex systems. The system is composed of multiple nodes or components whose failures are determined based on the interaction of their respective strengths and loads (or capacity and…

适应与自组织系统 · 物理学 2014-02-03 Shahnewaz Siddique , Vitali Volovoi