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Using the Jacobian matrix, we obtain theoretical expression of rigidity and the density of states of two-dimensional amorphous solids consisting of frictional grains in the linear response to an infinitesimal strain, in which we ignore the…

Soft Condensed Matter · Physics 2023-05-16 Daisuke Ishima , Kuniyasu Saitoh , Michio Otsuki , Hisao Hayakawa

Comparison of heavy-ion experiments to fluid dynamics simulations requires the conversion of the fluid to particles. Extending the approach in Molnar & Wolff, PRC 95, 024903 (2017), this work presents self-consistent bulk viscous…

Nuclear Theory · Physics 2021-01-01 Denes Molnar

Nonlinear elastic theory studies the elastic constants of a material (such as Young's modulus or bulk modulus) as a power series in the applied load. The inverse bulk modulus K, for example depends on the compression P: $ {1/ K(P)} = c_0 +…

Condensed Matter · Physics 2009-10-28 Alex Buchel , James P. Sethna

This paper models the increase of density of a virgin loose granular sample submitted to a progressive axisymmetric compression (either isotropic or anisotropic) as an irreversible process which destroys the larger voids; a statistical…

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

Numerous soft materials jam into an amorphous solid at high packing fraction. This non-equilibrium phase transition is best understood in the context of a model system in which particles repel elastically when they overlap. Recently,…

Soft Condensed Matter · Physics 2020-08-26 Dion J. Koeze , Lingtjien Hong , Abhishek Kumar , Brian P. Tighe

We report on experiments to measure the temporal and spatial evolution of packing arrangements of anisotropic and weakly confined granular material, using high-resolution $\gamma$-ray adsorption. In these experiments, the particle…

Other Condensed Matter · Physics 2016-08-16 Philippe Ribière , Patrick Richard , Daniel Bideau , Renaud Delannay

We introduce a new class of growth models, with a surface restructuring mechanism in which impinging particles may dislodge suspended particles, previously aggregated on the same column in the deposit. The flux of these particles is…

Statistical Mechanics · Physics 2013-03-14 J. S. Oliveira Filho , T. J. Oliveira , J. A. Redinz

We present a theoretical and computational model for the behavior of a porous solid undergoing two interdependent processes, the finite deformation of a solid and species migration through the solid, which are distinct in bulk and on…

Soft Condensed Matter · Physics 2023-05-16 Jaemin Kim , Ida Ang , Francesco Ballarin , Chung-Yuen Hui , Nikolaos Bouklas

We investigate the static and the dynamic properties of an binary, equimolar, size-symmetric mixture of ultrasoft particles in the vicinity of the critical point of the system. Based on the generalized exponential potential (GEM) of order…

Soft Condensed Matter · Physics 2025-07-25 Tanmay Biswas , Gerhard Kahl , Gaurav P. Shrivastav

3D Computer simulations and experiments are employed to study random packings of compressible spherical grains under external confining stress. Of particular interest is the rigid ball limit, which we describe as a continuous transition in…

Soft Condensed Matter · Physics 2009-10-31 Hernan A. Makse , David L. Johnson , Lawrence M. Schwartz

The elastic moduli of four numerical random isotropic packings of Hertzian spheres are studied. The four samples are assembled with different preparation procedures, two of which aim to reproduce experimental compaction by vibration and…

Materials Science · Physics 2007-11-19 I. Agnolin , J. -N. Roux

The equations of state at room temperature as well as the energies of crystal structures up to pressures exceeding 100 GPa are calculated for Na and K . It is shown that the allowance for generalized gradient corrections (GGA) in the…

Materials Science · Physics 2009-10-31 M. I. Katsnelson , G. V. Sinko , N. A. Smirnov , A. V. Trefilov , K. Yu. Khromov

Recent experimental results on the static or quasistatic response of granular materials have been interpreted to suggest the inapplicability of the traditional engineering approaches, which are based on elasto-plastic models (which are…

Soft Condensed Matter · Physics 2007-05-23 Chay Goldenberg , Isaac Goldhirsch

A soft particle model for diblock (AB) copolymer melts is proposed. Each molecule is mapped onto two soft spheres built by Gaussian A- and B-monomer distributions. An approximate analytical expression for the joint distribution function for…

Materials Science · Physics 2009-11-13 F. Eurich , A. Karatchentsev , J. Baschnagel , W. Dieterich , P. Maass

We investigate both analytically and by numerical simulation the kinetics of a microscopic model of hard rods adsorbing on a linear substrate, a model which is relevant for compaction of granular materials. The computer simulations use an…

Statistical Mechanics · Physics 2009-10-31 J. Talbot , G. Tarjus , P. Viot

The influence on macroscopic work hardening of small, spherical, elastic particles dispersed within a matrix is studied using an isotropic strain gradient plasticity framework. An analytical solution, based on a recently developed yield…

Materials Science · Physics 2021-10-25 Philip Croné , Peter Gudmundson , Jonas Faleskog

We study slow collective motion of isoscalar type at finite excitation. The collective variable is parameterized as a shape degree of freedom and the mean field is approximated by a deformed shell model potential. We concentrate on…

Nuclear Theory · Physics 2009-10-28 Helmut Hofmann , Fedor A. Ivanyuk , Shuhei Yamaji

Consider a model of particles (nucleons) which has a two-body interaction which leads to bound composites with saturation properties. These properties are : all composites have the same density and the ground state energies of composites…

Statistical Mechanics · Physics 2009-11-11 G. Chaudhuri , S. Das Gupta , M. Sutton

We investigate the mass fractions and in-medium properties of heavy nuclei in stellar matter at characteristic densities and temperatures for supernova (SN) explosions. The individual nuclei are described within the compressible liquid-drop…

Nuclear Theory · Physics 2017-03-21 Shun Furusawa , Igor Mishustin

Mechanical densification of granular bodies is a process in which a loose material becomes increasingly cohesive as the applied pressure increases. A constitutive description of this process faces the formidable problem that granular and…

Mathematical Physics · Physics 2015-05-20 Andrea Piccolroaz , Davide Bigoni , Alessandro Gajo
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