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We present a simple argument to show that the beta-function of the d-dimensional KPZ-equation (d>=2) is to all orders in perturbation theory given by beta(g) = (d-2) g - 2/(8 pi)^(d/2) Gamma(2-d/2) g^2 . Neither the dynamical exponent z nor…

Statistical Mechanics · Physics 2015-06-25 Kay Joerg Wiese

Shear relaxation and dynamic density fluctuations are studied within a Rouse model, generalized to include the effects of permanent random crosslinks. We derive an exact correspondence between the static shear viscosity and the resistance…

Statistical Mechanics · Physics 2009-10-31 Kurt Broderix , Henning Loewe , Peter Mueller , Annette Zippelius

Using a two dimensional lattice model we investigate the crack growth under the influence of remote tensile forces as well as due to an internally applied pressure (hydraulic fracturing). For homogeneous elastic properties we present…

Condensed Matter · Physics 2008-12-18 Frank Tzschichholz

We analyse high resolution slip rate data obtained during dynamic shear rupture experiments by Berman et al. (2020). We use an inverse method to extract the details of strength evolution within the cohesive zone. The overall behaviour is…

Geophysics · Physics 2025-04-02 Nicolas Brantut

We study the multifractal properties of the current distribution of the three-dimensional random resistor network at the percolation threshold. For lattices ranging in size from $8^3$ to $80^3$ we measure the second, fourth and sixth…

Condensed Matter · Physics 2009-10-28 G. George Batrouni , Alex Hansen , Brond Larson

We demonstrate that the spatial correlations of microscopic stresses in 2D model colloidal gels obtained in computer simulations can be quantitatively described by the predictions of a theory for emergent elasticity of pre-stressed solids…

Charge fluctuations observed in early fixed-target proton-proton experiments are consistent with string models. In central heavy ion events the picture can change in two ways: strings can interact and find new ways to hadronize or they can…

High Energy Physics - Phenomenology · Physics 2017-08-23 Fritz W. Bopp , Johannes Ranft

In general, the mechanics of granular matter is described using continuum mechanics approach; this requires to introduce the concepts of stress and strain, which are averaged quantities, so that this needs also to introduce the notion of…

Soft Condensed Matter · Physics 2007-05-23 P. Evesque

The energy-energy correlation function of the two-dimensional Ising model with weakly fluctuating random bonds is evaluated in the large scale limit. Two correlation lengths exist in contrast to one correlation length in the pure 2D Ising…

Condensed Matter · Physics 2007-05-23 K. Ziegler

The possibility of driving an Anderson metal-insulator transition in the presence of scale-free disorder by changing the correlation exponent is numerically investigated. We calculate the localization length for quasi-one-dimensional…

Disordered Systems and Neural Networks · Physics 2012-06-05 Alexander Croy , Michael Schreiber

We have measured the center-of-mass fluctuations of the height of a contact line at depinning for two different systems: liquid hydrogen on a rough cesium substrate and isopropanol on a silicon wafer grafted with silanized patches. The…

Disordered Systems and Neural Networks · Physics 2015-05-13 Pierre Le Doussal , Kay Joerg Wiese , Sebastien Moulinet , Etienne Rolley

We investigate the scaling properties of post-mortem fracture surfaces in silica glass and glassy ceramics. In both cases, the 2D height-height correlation function is found to obey Family-Viseck scaling properties, but with two sets of…

Statistical Mechanics · Physics 2016-02-26 Daniel Bonamy , Laurent Ponson , Silke Prades , Elisabeth Bouchaud , Claude Guillot

The cross section and the proton structure function F2 for neutral current deep inelastic e+p scattering have been measured with the ZEUS detector at HERA using an integrated luminosity of 30 pb-1. The data were collected in 1996 and 1997…

High Energy Physics - Experiment · Physics 2012-08-27 ZEUS Collaboration

We study $N$-cluster correlation functions in four- and five-dimensional (4D, 5D) bond percolation by extensive Monte Carlo simulation. We reformulate the transfer Monte Carlo algorithm for percolation [Phys. Rev. E {\bf 72}, 016126 (2005)]…

Statistical Mechanics · Physics 2020-08-03 Xiaojun Tan , Youjin Deng , Jesper Lykke Jacobsen

This work investigates the mode I and II interlaminar fracturing behavior of laminated composites and the related size effects. Fracture tests on geometrically scaled Double Cantilever Beam (DCB) and End Notch Flexure (ENF) specimens were…

Materials Science · Physics 2019-07-24 Marco Salviato , Kedar Kirane , Zdeněk P. Bažant , Gianluca Cusatis

Crumpled thin sheets are complex fractal structures whose physical properties are influenced by a hierarchy of ridges. In this Letter, we report experiments that measure the stress-strain relation and show the coexistence of phases in the…

Soft Condensed Matter · Physics 2021-02-22 Francisco C B Leal , Marcelo A F Gomes

Cracks are created by massive breakage of molecular or atomic bonds. The latter, in its turn, leads to the highly localized loss of material, which is the reason why even closed cracks are visible by a naked eye. Thus, fracture can be…

Materials Science · Physics 2016-10-28 Konstantin Volokh

Traditional computational approaches in simulating crack propagation in perfectly brittle materials rely on the estimate of stress intensity factors along the rupture front. This proves highly challenging in 3D when the crack geometry…

Materials Science · Physics 2023-06-27 Mathias Lebihain , Manish Vasoya , Véronique Lazarus

Shear thickening of suspensions is studied by discrete-particle simulation, accounting for hydrodynamic, repulsive, and contact forces. The contact forces, including friction, are activated when the imposed shear stress $\sigma$ is able to…

Soft Condensed Matter · Physics 2021-08-17 Omer Sedes , Bulbul Chakraborty , Hernan A. Makse , Jeffrey F. Morris

Permeability measured on three samples in a triaxial cell under effective confining pressure from 0.2 to 2.5 MPa ranges from 10E-18 to 10E-19m2. Overall, results indicate that permeability decreases with effective confining pressure up to…

Geophysics · Physics 2016-08-16 Sylvain Bourlange , Laurence Jouniaux , Pierre Henry
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