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The power-law dependence of the angle in the angular projection of galaxy distribution is explained by assuming that in the spherical shells within a small angle the distributions are also fractal. If this local angular fractal is…

Astrophysics · Physics 2008-02-03 Yu Shi

For a freely evolving granular fluid, the buildup of spatial correlations in density and flow field is described using fluctuating hydrodynamics. The theory for incompressible flows is extended to the general, compressible case, including…

Statistical Mechanics · Physics 2009-10-30 T. P. C. van Noije , M. H. Ernst , R. Brito

The strength of granular materials is highly dependent on grain connectivity (fabric), force transmission, and frictional mobilization at the particle scale. Furthermore, these bulk properties are strongly dependent on the geometry and…

Soft Condensed Matter · Physics 2025-06-12 Carmen Lee , Émilien Azéma , Karen Daniels

Many weighted scale-free networks are known to have a power-law correlation between strength and degree of nodes, which, however, has not been well explicated. We investigate the dynamic behaviors of resource/traffic flow on scale-free…

Physics and Society · Physics 2009-11-11 Qing Ou , Ying-Di Jin , Tao Zhou , Bing-Hong Wang , Bao-Qun Yin

Motivated by the observation of the storage of excess elastic free energy - (prestress) -- in cross linked semiflexible networks, we consider the problem of the conformational statistics of a single semiflexible polymer in a quenched random…

Soft Condensed Matter · Physics 2019-04-10 Valentin M. Slepukhin , Maximilian J. Grill , Kei W. Müller , Wolfgang A. Wall , Alex J. Levine

In dense, static, polydisperse granular media under isotropic pressure, the probability density and the correlations of particle-wall contact forces are studied. Furthermore, the probability density functions of the populations of pressures…

Statistical Mechanics · Physics 2009-12-15 Stefan Luding , Micha-Klaus Mueller , Thorsten Poeschel

Spatial correlations for sheared isothermal elastic liquids and granular liquids are theoretically investigated. Using the generalized fluctuating hydrodynamics, correlation functions for both the microscopic scale and the macroscopic scale…

Statistical Mechanics · Physics 2009-11-13 Michio Otsuki , Hisao Hayakawa

Critical gravitational collapse and self similarity are used to probe the mass distribution of subsolar objects. We demonstrate that at very low mass the distribution is given by a power law, with an exponent opposite in sign to that…

Astrophysics · Physics 2007-05-23 Matt Visser , Nicolas Yunes

Scaling properties of patterns formed by large contact forces are studied as a function of the applied shear stress, in two-dimensional static packings generated from the force network ensemble. An anisotropic finite-size-scaling analysis…

Soft Condensed Matter · Physics 2007-05-23 Srdjan Ostojic , Thijs J. H. Vlugt , Bernard Nienhuis

For packings of hard but not perfectly rigid particles, the length scales that govern the packing geometry and the contact forces are well separated. This separation of length scales is explored in the force network ensemble, where one…

Soft Condensed Matter · Physics 2010-08-03 Brian P. Tighe , Jacco H. Snoeijer , Thijs J. H. Vlugt , Martin van Hecke

Force networks form the skeleton of static granular matter. They are the key ingredient to mechanical properties, such as stability, elasticity and sound transmission, which are of utmost importance for civil engineering and industrial…

Soft Condensed Matter · Physics 2009-11-11 Srdjan Ostojic , Ellak Somfai , Bernard Nienhuis

The absence of self averaging in mesoscopic systems is a consequence of long-range intensity correlation. Microwave measurements suggest and diagrammatic calculations confirm that the correlation function of the normalized intensity with…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Sebbah , B. Hu , A. Z. Genack , R. Pnini , B. Shapiro

We present a minimalistic approach to simulations of force transmission through granular systems. We start from a configuration containing cohesive (tensile) contact forces and use an adaptive procedure to find the stable configuration with…

Soft Condensed Matter · Physics 2009-10-31 Alexei V. Tkachenko , Thomas A. Witten

Shearing with a finite shear rate a compressed granular system results in a region of grains flowing over a compact, static assembly. Perforce this region is dilated to a degree that depends on the shear rate, the loading pressure, gravity,…

Statistical Mechanics · Physics 2019-05-29 Prasenjit Das , H. George E. Hentschel , Itamar Procaccia

We investigate the velocity-correlation distributions after $n$ collisions of a tagged particle undergoing binary collisions. Analytical expressions are obtained in any dimension for the velocity-correlation distribution after the…

Statistical Mechanics · Physics 2008-06-25 Alexis Burdeau , Pascal Viot

The accelerated expansion of the universe is a rather established fact in cosmology and many different models have been proposed as a viable explanation. Many of these models are based on the standard general relativistic framework of…

General Relativity and Quantum Cosmology · Physics 2016-05-20 N. Nazari-Pooya , M. Malekjani , F. Pace , D. Mohammad-Zadeh Jassur

We discuss the estimation of galaxy correlation properties in several volume limited samples, in different sky regions, obtained from the Fourth Data Release of the Sloan Digital Sky Survey. The small scale properties are characterized…

Astrophysics · Physics 2009-03-19 Francesco Sylos Labini , Nickolay L. Vasilyev , Yurij V. Baryshev

In this numerical study, measurements of the contact forces inside a periodic two-dimensional sheared system of soft frictional particles are reported. The distribution of normalized normal forces exhibits a gradual broadening with…

Soft Condensed Matter · Physics 2015-07-28 Jens Boberski , M. Reza Shaebani , Dietrich E. Wolf

We study a one-dimensional particles system, in the overdamped limit, where nearest particles attract with a force inversely proportional to a power of their distance and coalesce upon encounter. The detailed shape of the distribution…

Statistical Mechanics · Physics 2010-01-25 Daniel ben-Avraham , Oleksandr Gromenko , Paolo Politi

Most random graph models are locally tree-like - do not contain short cycles - rendering them unfit for modeling networks with a community structure. We introduce the hierarchical configuration model (HCM), a generalization of the…

Physics and Society · Physics 2016-07-12 Clara Stegehuis , Remco van der Hofstad , Johan S. H. van Leeuwaarden