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Mixed membership models are an extension of finite mixture models, where each observation can partially belong to more than one mixture component. A probabilistic framework for mixed membership models of high-dimensional continuous data is…

One of the major shortcomings of discrete element modelling (DEM) is the computational cost required when the number of particles is huge, especially for fine powders and/or industry scale simulations. This study investigates the scaling of…

Soft Condensed Matter · Physics 2015-06-04 Subhash C. Thakur , Jin Y. Ooi , Hossein Ahmadian

A microscopic model of adsorption in cluster forming systems with competing interaction is considered. The adsorption process is described by the master equation and modelled by a kinetic Monte Carlo method. The evolution of the particle…

Soft Condensed Matter · Physics 2021-09-07 E. Bildanau , V. Vikhrenko

We have performed molecular dynamics simulations for a model two-dimensional soft-core mixture in a supercooled state. The mixture exhibits a slow structural relaxation in a quiescent state, however, the relaxation is much enhanced in…

Soft Condensed Matter · Physics 2009-11-10 Ryoichi Yamamoto , Kunimasa Miyazaki , David R. Reichman

The Planck Collaboration has shown that the number of clusters as a function of their mass and redshift is an extremely powerful tool for cosmological analyses. However, the true cluster mass is not directly measurable. Among the possible…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-09 Antonio Ferragamo , Marco De Petris , Gustavo Yepes , Juan Macías-Pérez , Weiguang Cui , Alejandro Jiménez-Muñoz

Cells in multicellular organisms adhere to the extracellular matrix through two-dimensional clusters spanning a size range from very few to thousands of adhesion bonds. For many common receptor-ligand systems, the ligands are tethered to a…

Soft Condensed Matter · Physics 2007-07-16 T. Erdmann , U. S. Schwarz

We study ballistic aggregation on a two dimensional square lattice, where particles move ballistically in between momentum and mass conserving coalescing collisions. Three models are studied based on the shapes of the aggregates: in the…

Statistical Mechanics · Physics 2023-10-20 Fahad Puthalath , Apurba Biswas , V. V. Prasad , R. Rajesh

Using high precision Monte Carlo simulations and a mean-field theory, we explore coarsening phenomena in a simple driven diffusive system. The model is reminiscent of vehicular traffic on a two-lane ring road. At sufficiently high density,…

Statistical Mechanics · Physics 2009-11-11 I. T. Georgiev , B. Schmittmann , R. K. P. Zia

An equal load sharing fiber bundle model for thermally activated breakdown is developed using transition state theory to describe the rate of elementary failures. The lifetime distribution, average, variance and their asymptotic limits for…

Statistical Mechanics · Physics 2025-08-20 Stefan Hiemer , Paolo Moretti , Stefano Zapperi , Michael Zaiser

The stability of the linear chain structure of three $\alpha$ clusters for $^{12}$C against the bending and fission is investigated in the cranking covariant density functional theory, in which the equation of motion is solved on a 3D…

Nuclear Theory · Physics 2020-07-22 Z. X. Ren , S. Q. Zhang , P. W. Zhao , N. Itagaki , J. A. Maruhn , J. Meng

We investigate the kinetics of systems in which particles of one species undergo binary fragmentation and pair annihilation. In the latter, nonlinear process, fragments react at collision to produce an inert species, causing loss of mass.…

Condensed Matter · Physics 2009-10-28 Joao A. N. Filipe , Geoff J. Rodgers

We investigate the dynamics and the pathways of the collapse of a single, semiflexible polymer in a poor solvent via 3-D Brownian Dynamics simulations. Earlier work indicates that the condensation of semiflexible polymers generically…

Soft Condensed Matter · Physics 2009-11-10 Alberto Montesi , Matteo Pasquali , F. C. MacKintosh

We study the mechanics of a reversible decohesion (unzipping) of an elastic layer subjected to quasi-static end-point loading. At the micro level the system is simulated by an elastic chain of particles interacting with a rigid foundation…

Other Quantitative Biology · Quantitative Biology 2015-05-13 F. Maddalena , D. Percivale , G. Puglisi , L. Truskinovsky

The interplay between gravitational and dispersive forces in a multi-streamed medium leads to an effect which is exposed in the present note as the genuine driving force of stabilization of large-scale structure. The conception of `adhesive…

Astrophysics · Physics 2009-09-25 Thomas Buchert

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…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Tanguy , M. Gounelle , S. Roux

We discuss the threshold activated extremal dynamics that is prevalent in the breakdown processes in heterogeneous materials. We model such systems by an elastic spring network with random breaking thresholds assigned to the springs.…

Statistical Mechanics · Physics 2007-05-23 Purusattam Ray

Large scale simulations of two-dimensional bidisperse granular fluids allow us to determine spatial correlations of slow particles via the four-point structure factor $S_4(q,t)$. Both cases, elastic ($\varepsilon=1$) as well as inelastic…

Statistical Mechanics · Physics 2014-07-16 Karina E. Avila , Horacio E. Castillo , Andrea Fiege , Katharina Vollmayr-Lee , Annette Zippelius

We analyze a two-dimensional spring network model comprising breakable and unbreakable springs. Computer simulations showed this system to exhibit intermittent stress drops in a larger strain regime, and these stress drops resulted in…

Statistical Mechanics · Physics 2024-05-02 Haruka Noguchi , Satoshi Yukawa

We review limiting models for fracture in bundles of fibers, with statistically distributed thresholds for breakdown of individual fibers. During the breakdown process, avalanches consisting of simultaneous rupture of several fibers occur,…

Statistical Mechanics · Physics 2009-10-30 M. Kloster , A. Hansen , P. C. Hemmer

Disordered elastic interfaces display avalanche dynamics at the depinning transition. For short-range interactions, avalanches correspond to compact reorganizations of the interface well described by the depinning theory. For long-range…

Statistical Mechanics · Physics 2021-01-20 Clément Le Priol , Pierre Le Doussal , Alberto Rosso