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In this letter we address the fragmentation of thin, brittle layers due to the impact of high-velocity projectiles. Our approach is a geometric statistical one, with lines and circles playing the role of cracks, randomly distributed over…

Soft Condensed Matter · Physics 2014-09-30 Rebeca C. Falcão , Fernando Parisio

The multifractal properties of the Edwards-Anderson order parameter of the short-range Ising spin glass model on d=3 diamond hierarchical lattices is studied via an exact recursion procedure. The profiles of the local order parameter are…

Disordered Systems and Neural Networks · Physics 2009-10-30 E. Nogueira , S. Coutinho , F. D. Nobre , E. M. F. Curado , J. R. L. de Almeida

Both the shape of individual particles and their surface properties contribute to the strength of a granular material under shear. Here we show the degree to which these two aspects can be intertwined. In experiments on assemblies of 3D…

Soft Condensed Matter · Physics 2019-06-26 Kieran A. Murphy , Arthur K. MacKeith , Leah K. Roth , Heinrich M. Jaeger

The roughness properties of two-dimensional fracture surfaces as created by the slow failure of random fuse networks are considered and compared to yield surfaces of perfect plasticity with similar disorder. By studying systems up to a…

Statistical Mechanics · Physics 2009-10-31 E. T. Seppala , V. I. Raisanen , M. J. Alava

Amorphous solids yield in strain-controlled protocols at a critical value of the strain. For larger strains the stress and energy display a generic complex serrated signal with elastic segments punctuated by sharp energy and stress plastic…

Soft Condensed Matter · Physics 2016-06-22 Awadhesh K. Dubey , H. George E. Hentschel , Itamar Procaccia , Murari Singh

To enhance the reflectivity of X-ray mirrors beyond the critical angle, multilayer coatings are required. Interface imperfections in the multilayer growth process are known to cause non-specular scattering and degrade the mirror optical…

Optics · Physics 2013-04-05 B. Salmaso , D. Spiga , R. Canestrari , L. Raimondi

We investigated two-dimensional brittle fragmentation with a flat impact experimentally, focusing on the low impact energy region near the fragmentation-critical point. We found that the universality class of fragmentation transition…

Statistical Mechanics · Physics 2007-05-23 Hiroaki Katsuragi , Daisuke Sugino , Haruo Honjo

Roughness of i-AlPdMn cleaved surfaces are presently analysed. From the atomic scale to 2-3 nm, they are shown to exhibit scaling properties hiding the cluster (0.45 nm) aperiodic structure. These properties are quantitatively similar to…

Statistical Mechanics · Physics 2007-05-23 Laurent Ponson , Daniel Bonamy , Luc Barbier

Fractal structures appear in a vast range of physical systems. A literature survey including all experimental papers on fractals which appeared in the six Physical Review journals (A-E and Letters) during the 1990's shows that experimental…

Condensed Matter · Physics 2016-08-31 Ofer Malcai , Daniel A. Lidar , Ofer Biham , David Avnir

The scaling behavior of cyclical surface growth (e.g. deposition/desorption), with the number of cycles n, is investigated. The roughness of surfaces grown by two linear primary processes follows a scaling behavior with asymptotic exponents…

Statistical Mechanics · Physics 2009-10-31 Y. Shapir , S. Raychaudhuri , D. G. Foster , J. Jorne

A brief review is presented of the scaling of complex fluids, polymers and polyelectrolytes in solution and in confined geometry, in thermodynamical, structural and rheology properties using equilibrium and nonequilibrium dissipative…

Soft Condensed Matter · Physics 2016-12-06 Armando Gama Goicochea

Textured alumina ceramics were obtained by Spark Plasma Sintering (SPS) of undoped commercial a-Al2O3 powders. Various parameters (density, grain growth, grain size distribution) of the alumina ceramics, sintered at two typical temperatures…

We consider, computationally and experimentally, the scaling properties of force networks in the systems of circular particles exposed to compression in two spatial dimensions. The simulations consider polydisperse and monodisperse…

Computational Physics · Physics 2016-04-20 Lenka Kovalcinova , Arnaud Goullet , Lou Kondic

The difference between free surface energy and fracture toughness in amorphous silica is studied via multi-scale simulations. We combine the homogenization of a molecular dynamics fracture model with a phase-field approach to track and…

Materials Science · Physics 2026-02-03 Gergely Molnár , Etienne Barthel

The observation of scaling in processes in which a weakly interacting probe delivers large momentum ${\bf q}$ to a many-body system simply reflects the dominance of incoherent scattering off target constituents. While a suitably defined…

Nuclear Theory · Physics 2009-11-07 Omar Benhar

The roughness of fracture surfaces has been shown to exhibit self-affne scale invariance for a wide variety of materials and loading conditions. The range of scales over which this regime extends remains a matter of debate, together with…

Statistical Mechanics · Physics 2015-05-14 F. Lechenault , G. Pallares , M. George , C. Rountree , E. Bouchaud , M. Ciccotti

We argue that fracture surfaces may exhibit anomalous dynamic scaling properties akin to what occurs in some models of kinetic roughening. We determine the complete scaling behavior of the local fluctuations of a brittle fracture in a…

Statistical Mechanics · Physics 2009-10-31 Juan M. Lopez , Jean Schmittbuhl

The surface pattern formation on a gelation surface is analyzed using an effective surface roughness. The spontaneous surface deformation on DiMethylAcrylAmide (DMAA) gelation surface is controlled by temperature, initiator concentration,…

Pattern Formation and Solitons · Physics 2011-02-18 T. Mizoue , M. Tokita , H. Honjo , H. J. Barraza , H. Katsuragi

Barrium fluoride (BaF2) thin films were prepared by electron beam evaporation technique at room temperature, on glass, Silicon and Aluminum substrates having thickness of 20 nm each. Its structural property and surface morphology were…

Materials Science · Physics 2017-05-22 Kavyashree , R. K. Pandey , R. P. Yadav , Manvendra Kumar , A. K. Mittal , A. C. Pandey , S. N. Pandey

The effect of etching time scale of glass surface on its statistical properties has been studied using atomic force microscopy technique. We have characterized the complexity of the height fluctuation of a etched surface by the stochastic…

Data Analysis, Statistics and Probability · Physics 2015-05-13 G. R. Jafari , M. Reza Rahimi Tabar , A. Iraji zad , G. Kavei