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Highly supercooled liquids with soft-core potentials are studied via molecular dynamics simulations in two and three dimensions in quiescent and sheared conditions.We may define bonds between neighboring particle pairs unambiguously owing…

Soft Condensed Matter · Physics 2009-10-31 Ryoichi Yamamoto , Akira Onuki

A new class of probabilistic models for cascading failure propagation in interconnected systems is proposed. The models take into account important characteristics of real systems that are not considered in existing generic approaches.…

Disordered Systems and Neural Networks · Physics 2010-03-31 Jörg Lehmann , Jakob Bernasconi

The iteration dynamics of the coupled cluster equations exhibits a synergistic relationship among the cluster amplitudes. The iteration scheme may be viewed as a multivariate discrete-time propagation of nonlinearly coupled equations, which…

Computational Physics · Physics 2021-09-16 Valay Agarawal , Samrendra Roy , Kapil K. Shrawankar , Mayank Ghogale , S Bharathi , Anchal Yadav , Rahul Maitra

The impact of confinement on self-assembly of particles interacting with short-range attraction and long-range repulsion (SALR) potential is studied for thermodynamic states corresponding to local ordering of clusters or layers in the bulk.…

Soft Condensed Matter · Physics 2014-11-17 Jakub Pękalski , Alina Ciach , Noé G. Almarza

I adapted a model recently introduced in the context of seismic phenomena, to study creep rupture of materials. It consists of linear elastic fibers that interact in an equal load sharing scheme, complemented with a local viscoelastic…

Materials Science · Physics 2013-05-29 E. A. Jagla

We numerically study the structure of the interactions occurring in three-dimensional systems of hard spheres at jamming, focusing on the large-scale behavior. Given the fundamental role they play in the configuration of jammed packings, we…

Soft Condensed Matter · Physics 2021-07-15 Paolo Rissone , Eric I. Corwin , Giorgio Parisi

We develop and present a unified multi-scale model (involving three scales of spatial organisation) to study the dynamics of rigid aggregating particles suspended in a viscous fluid medium and subject to a steady poiseuille flow. At…

Soft Condensed Matter · Physics 2016-10-10 Sarthok Sircar , Anthony J. Roberts

We here discuss the results of 3d MonteCarlo simulations of a minimal lattice model for gelling systems. We focus on the dynamics, investigated by means of the time autocorrelation function of the density fluctuations and the particle mean…

Soft Condensed Matter · Physics 2007-05-23 E. Del Gado , A. Fierro , L. de Arcangelis , A. Coniglio

The topology of the network of load transmitting connections plays an essential role in the cascading failure dynamics of complex systems driven by the redistribution of load after local breakdown events. In particular, as the network…

Disordered Systems and Neural Networks · Physics 2023-11-21 G. Pál , Zs. Danku , A. Batool , V. Kádár , N. Yoshioka , N. Ito , G. Ódor , F. Kun

It is known that radial collapse around density peaks can explain the key features of evolution of correlation function in gravitational clustering in three dimensions. The same model also makes specific predictions for two dimensions. In…

Astrophysics · Physics 2009-10-30 J. S. Bagla , S. Engineer , T. Padmanabhan

We have studied the kinetics of cluster formation for dynamical systems of dimensions up to $n=8$ interacting through elastic collisions or coalescence. These systems could serve as possible models for gas kinetics, polymerization and…

Statistical Mechanics · Physics 2013-01-15 Carson McFadden , Louis-S. Bouchard

A method to couple interparticle contact models with Stokesian dynamics (SD) is introduced to simulate colloidal aggregates under flow conditions. The contact model mimics both the elastic and plastic behavior of the cohesive connections…

Soft Condensed Matter · Physics 2015-03-20 Ryohei Seto , Robert Botet , Günter K. Auernhammer , Heiko Briesen

When two solids start rubbing together, frictional sliding initiates in the wake of slip fronts propagating along their surfaces in contact. This macroscopic rupture dynamics can be successfully mapped on the elastodynamics of a moving…

Soft Condensed Matter · Physics 2021-04-30 Fabian Barras , Ramin Aghababaei , Jean-François Molinari

Finite element calculations of dynamic fracture based on embedding cohesive surfaces in a continuum indicate that the predictions are sensitive to the cohesive law used. Simulations were performed on a square block in plane strain with an…

Materials Science · Physics 2007-05-23 Michael L. Falk , Alan Needleman , James R. Rice

A statistical model of fragmentation of aggregates is proposed, based on the stochastic propagation of cracks through the body. The propagation rules are formulated on a lattice and mimic two important features of the process -- a crack…

Statistical Mechanics · Physics 2014-10-15 F. Spahn , E. V. Neto , A. H. F. Guimaraes , A. N. Gorban , N. V. Brilliantov

The failure of 2D numerical cohesive granular steps collapsing under gravity are simulated for a large range of cohesion. Focussing on the cumulative displacement of the grains, and defining a displacement threshold, we establish a sensible…

Soft Condensed Matter · Physics 2022-04-01 Lydie Staron , Laurent Duchemin , Anais Abramian , Pierre-Yves Lagrée

Deterministic simulations of the rate equations governing cluster dynamics in materials are limited by the number of equations to integrate. Stochastic simulations are limited by the high frequency of certain events. We propose a coupling…

Materials Science · Physics 2017-10-11 Pierre Terrier , Manuel Athènes , Thomas Jourdan , Gilles Adjanor , Gabriel Stoltz

Disorder and long-range interactions are two of the key components that make material failure an interesting playfield for the application of statistical mechanics. The cornerstone in this respect has been lattice models of the fracture in…

Statistical Mechanics · Physics 2009-11-11 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

Coagulation-fragmentation processes describe the stochastic association and dissociation of particles in clusters. Cluster dynamics with cluster-cluster interactions for a finite number of particles has recently attracted attention…

Probability · Mathematics 2016-11-22 Nathanael Hoze , David Holcman

We study aggregation-fragmentation processes in which pairs of clusters can aggregate, and each cluster can break into two fragments. If the rates of aggregation and fragmentation do not depend on the masses, detailed balance does not hold,…

Statistical Mechanics · Physics 2026-05-22 P. L. Krapivsky