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Using stochastic conformal mapping techniques we study the patterns emerging from Laplacian growth with a power-law decaying threshold for growth $R_N^{-\gamma}$ (where $R_N$ is the radius of the $N-$ particle cluster). For $\gamma > 1$ the…

Statistical Mechanics · Physics 2009-11-10 H. G. E. Hentschel , M. N. Popescu , F. Family

In this paper, the impact behaviour of composite laminates is investigated, and their potential for ballistic protection assessed, as a function of the reinforcing materials and structures for three representative fibre-reinforced epoxy…

Applied Physics · Physics 2021-10-01 Stefano Signetti , Federico Bosia , Seunghwa Ryu , Nicola M. Pugno

Finite size error is commonly removed from coupled cluster theory calculations by $N^{-1}$ extrapolations over correlation energy calculations of different system sizes ($N$), where the $N^{-1}$ scaling comes from the total energy. However,…

Computational Physics · Physics 2023-02-13 Tina N. Mihm , Laura Weiler , James J. Shepherd

We investigate through extensive molecular dynamics simulations the fragmentation process of two-dimensional Lennard-Jones systems. After thermalization, the fragmentation is initiated by a sudden increment to the radial component of the…

Statistical Mechanics · Physics 2009-11-10 L. E. Araripe , J. S. Andrade , R. N. Costa Filho

We compute the mean square displacement (MSD) of intruders immersed in a freely cooling granular gas made up of smooth inelastic hard spheres. In general, intruders and particles of the granular gas are assumed to have different mechanical…

Soft Condensed Matter · Physics 2022-06-23 Enrique Abad , Santos Bravo Yuste , Vicente Garzó

Here, we develop scaling laws for (1) the distribution of impact-induced heat within the mantle and (2) shape of the impact-induced melt based on more than 100 smoothed particle hydrodynamic (SPH) simulations. We use Legendre polynomials to…

We use a discrete-time formulation to study the asymmetric avalanche process [Phys. Rev. Lett. vol. 87, 084301 (2001)] on a finite ring and obtain an exact expression for the average avalanche size of particles as a function of toppling…

Statistical Mechanics · Physics 2009-11-10 A. M. Povolotsky , V. B. Priezzhev , Chin-Kun Hu

We study the invasion of an unstable state by a propagating front in a peculiar but generic situation where the invasion process exhibits a remnant instability. Here, remnant instability refers to the fact that the spatially constant…

Analysis of PDEs · Mathematics 2020-09-07 Gregory Faye , Matt Holzer , Arnd Scheel , Lars Siemer

Adversarial attacks present a critical challenge to deep neural networks' robustness, particularly in transfer scenarios across different model architectures. However, the transferability of adversarial attacks faces a fundamental dilemma…

Machine Learning · Computer Science 2025-11-04 Zenghao Niu , Weicheng Xie , Siyang Song , Zitong Yu , Feng Liu , Linlin Shen

In the present paper we consider the problem of the fragmentation of an aluminum projectile on a thin steel mesh shield at high-velocity impact in a three-dimensional (3D) setting. The numerical simulations are carried out by smoothed…

Applied Physics · Physics 2018-03-12 N. N. Myagkov

Central to the quest for a deeper understanding of the cancer growth and spread process, the naturally multiscale character of cancer invasion demands appropriate multiscale modelling and analysis approach. The cross-talk between the tissue…

Numerical Analysis · Mathematics 2018-05-22 Thomas Carraro , Sven E. Wetterauer , Ana Victoria Ponce Bobadilla , Dumitru Trucu

The universal theory of order parameter fluctuations (delta scaling laws) is applied to a wide range of intermediate energy heavy-ion collision data obtained with INDRA. This systematic study confirms that the observed fragment production…

Nuclear Experiment · Physics 2019-08-15 J. D. Frankland , R. Bougault , A. Chbihi , S. Hudan , A. Mignon

We simulate the central reactions of $^{20}$Ne+$^{20}$Ne, $^{40}$Ar+$^{45}$Sc, $^{58}$Ni+$^{58}$Ni, $^{86}$Kr+$^{93}$Nb, $^{129}$Xe+$^{118}$Sn, $^{86}$Kr+$^{197}$Au and $^{197}$Au+$^{197}$Au at different incident energies for different…

Nuclear Theory · Physics 2011-06-09 Sukhjit Kaur

The Cell Network Model is a fracture model recently introduced that resembles the microscopical structure and drying process of the parenchymatous tissue of the Bamboo Guadua angustifolia. The model exhibits a power-law distribution of…

Soft Condensed Matter · Physics 2015-05-19 Gabriel Villalobos , Ferenc Kun , Dorian L. Linero , Jose D. Muñoz

Dynamical processes exhibiting absorbing states are essential in the modeling of a large variety of situations from material science to epidemiology and social sciences. Such processes exhibit the possibility of avalanching behavior upon…

This paper studies invasion waves in the diffusive Competitor-Competitor-Mutualist model generalizing the 2-species Lotka-Volterra model studied by Weinberger et al. The mutualist may benefit the invading or the resident species producing…

Dynamical Systems · Mathematics 2022-06-24 Volodymyr Hrynkiv , Sergiy Koshkin

We study a system of hard-core particles sliding downwards on a fluctuating one-dimensional surface which is characterized by a dynamical exponent $z$. In numerical simulations, an initially random particle density is found to coarsen and…

Statistical Mechanics · Physics 2009-10-31 Dibyendu Das , Mustansir Barma

We present a simple method for incorporating the surface tension effect into an iterative conformal mapping model of two-dimensional diffusion-limited aggregation. A curvature-dependent growth probability is introduced and the curvature is…

Pattern Formation and Solitons · Physics 2013-03-05 Hiroshi Miki , Haruo Honjo

In this paper, we investigate the invasion percolation (IP) in imperfect support in which the configuration of imperfections is considered to be correlated. Three lattice models were engaged to realize this pattern: site percolation, Ising…

Statistical Mechanics · Physics 2022-01-05 M. N. Najafi , S. Tizdast , J. Cheraghalizadeh , H. Dashti N

In this work, the transition between diffusion-limited and ballistic aggregation models was revisited using a model in which biased random walks simulate the particle trajectories. The bias is controlled by a parameter $\lambda$, which…

Statistical Mechanics · Physics 2009-11-11 S. C. Ferreira , S. G. Alves , A. Faissal Brito , J. G. Moreira