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We study the evolution of a collection of individuals subject to Brownian diffusion, reproduction and disappearance. In particular, we focus on the case where the individuals are initially prepared at equilibrium within a confined geometry.…

Statistical Mechanics · Physics 2015-01-06 Andrea Zoia , Eric Dumonteil , Alain Mazzolo , Clélia de Mulatier , Alberto Rosso

Although defect clusters are detrimental to electronic and mechanical properties of semiconductor materials, annihilation of such clusters is limited by their lack of thermal mobility due to high migration barriers. Here, we find that small…

Materials Science · Physics 2016-08-10 Hao Jiang , Li He , Dane Morgan , Paul M. Voyles , Izabela Szlufarska

In this comprehensive and detailed study, vacancy-mediated self-diffusion of A- and B-elements in 'triple-defect' B2-ordered ASB(1-S) binaries is simulated by means of a kinetic Monte Carlo (KMC) algorithm involving atomic jumps to…

Materials Science · Physics 2019-10-16 Jan Betlej , Piotr Sowa , Rafal Kozubski , Graeme E. Murch , Irina V. Belova

Point defects in real crystals at finite temperatures are inevitable. Their dynamics severely influence the mechanical properties of crystals under shear giving rise to nonlinear effects such as ductility. Therefore, it is crucial to…

Soft Condensed Matter · Physics 2021-02-02 Gaurav P. Shrivastav , Gerhard Kahl

Continuum damage mechanics (CDM) is a popular framework for modelling crack propagation in solids. The CDM uses a damage parameter to quantitatively assess what one loosely calls `material degradation'. While this parameter is sometimes…

Computational Physics · Physics 2025-07-11 Ved Prakash , Upadhyayula M. M. A. Sai Gopal , Sanhita Das , Ananth Ramaswamy , Debasish Roy

In this paper we use computer simulations to examine point defects in systems of "soft" colloidal particles including Hertzian spheres, and star polymers. We use Monte Carlo simulations to determine the deformation of the different crystals…

Soft Condensed Matter · Physics 2021-04-15 Marjolein de Jager , Joris de Jong , Laura Filion

The continuum random cluster model is a Gibbs modification of the standard boolean model of intensity $z > 0$ and law of radii $Q$. The formal unormalized density is given by $q^{N_{cc}}$ where $q$ is a fixed parameter and $N_{cc}$ is the…

Probability · Mathematics 2017-06-07 Pierre Houdebert

The clustering of nucleons is a fundamental phenomenon with broad implications for nuclear physics and astrophysics. In this work, we employ a microscopic in-medium few-body approach to systematically investigate the formation and…

Nuclear Theory · Physics 2026-01-14 Qi Meng , Chang Xu

We study a reaction-diffusion model posed on two distinct spatial scales that accounts for diffusion, aggregation, fragmentation, and deposition of populations of colloidal particles within a porous material. In this model, the macroscopic…

Analysis of PDEs · Mathematics 2026-04-14 Christos Nikolopoulos , Michael Eden , Adrian Muntean

We present a model for diffusion in a molecularly crowded environment. The model consists of random barriers in percolation network. Random walks in the presence of slowly moving barriers show normal diffusion for long times, but anomalous…

Subcellular Processes · Quantitative Biology 2007-06-06 Dietrich Stauffer , Christian Schulze , Dieter W. Heermann

The accumulation and growth of vacancy clusters under irradiation is a pivotal degradation mode for structural materials in extreme environments. Even tungsten undergoes rapid defect coarsening compromising its integrity. Here we show a…

In this paper we examine a number of models that generate random fractals. The models are studied using the tools of computational complexity theory from the perspective of parallel computation. Diffusion limited aggregation and several…

Condensed Matter · Physics 2009-10-28 J. Machta , R. Greenlaw

The clustering properties of sterile neutrinos are studied within an extension of the minimal standard model, where these are produced via the decay of a gauge singlet scalar. The distribution function after decoupling is strongly out of…

Astrophysics · Physics 2008-12-18 D. Boyanovsky

Metal clusters are partway between molecular and bulk systems and thus exhibit special physical and chemical properties. Atoms can rearrange within a cluster to form different structural isomers. Internal degrees of freedom and the…

Materials Science · Physics 2019-07-31 Barbara A. J. Lechner , Fabian Knoller , Alexander Bourgund , Ueli Heiz , Friedrich Esch

Material properties controlled by evolving defect structures, such as mechanical response, often involve processes spanning many length and time scales which cannot be modeled using a single approach. We present a variety of new results…

Materials Science · Physics 2015-06-19 Joel Berry , Nikolas Provatas , Jörg Rottler , Chad W. Sinclair

Defects, i.e. inhomogeneities of the underlying lattice, are ubiquitous in magnetic materials and can have a crucial impact on their applicability in spintronic devices. For magnetic skyrmions, localized and topologically non-trivial spin…

Materials Science · Physics 2023-04-26 Philipp Rieger , Markus Weißenhofer , Ulrich Nowak

We consider the dynamics of pattern formation in a system of point defects under sustained irradiation within the framework of the rate theory. In our study we generalize the standard approach taking into account a production of defects by…

Materials Science · Physics 2013-09-25 V. O. Kharchenko , D. O. Kharchenko

Point defects affect material properties by altering electronic states and modifying local bonding environments. However, high-throughput first-principles simulations of point defects are costly due to large simulation cells and complex…

The core structure of dislocations is critical to their mobility, cross slip, and other plastic behaviors. Atomistic simulation of the core structure is limited by the size of first-principles density functional theory (DFT) calculation and…

Materials Science · Physics 2022-09-13 Fenglin Deng , Hongyu Wu , Ri He , Peijun Yang , Zhicheng Zhong

A particular failure mode of highly porous brittle materials consists in the propagation of cracks under uniaxial compressive loads. Such 'anticracks' have been observed in a range of materials, from snow and porous sandstone to brittle…

Soft Condensed Matter · Physics 2025-03-14 Shucheta Shegufta , Michael Zaiser