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We explore quantitative descriptors that herald when a many-particle system in $d$-dimensional Euclidean space $\mathbb{R}^d$ approaches a hyperuniform state as a function of the relevant control parameter. We establish quantitative…

Soft Condensed Matter · Physics 2021-05-26 Salvatore Torquato

A simple model accounting for the ejection of heavy particles from the vortical structures of a turbulent flow is introduced. This model involves a space and time discretization of the dynamics and depends on only two parameters: the…

Chaotic Dynamics · Physics 2009-11-13 Jeremie Bec , Raphael Chetrite

Robust empirical constitutive laws for granular materials in air or in a viscous fluid have been expressed in terms of timescales based on the dynamics of a single particle. However, some behaviours such as viscosity bifurcation or shear…

Soft Condensed Matter · Physics 2015-05-13 Pierre Rognon , Cyprien Gay

Velocity correlations in a 2D granular fluid are studied in experiments and numerical simulations. The transverse component of the velocity structure factor reveals two well defined energy scales, associated with the external "bath…

Statistical Mechanics · Physics 2015-05-27 Giacomo Gradenigo , Alessandro Sarracino , Dario Villamaina , Andrea Puglisi

We numerically investigate the self-diffusion coefficient and correlation length of the rigid clusters (i.e., the typical size of the collective motions) in sheared soft athermal particles. Here we find that the rheological flow curves on…

Soft Condensed Matter · Physics 2026-03-26 Kuniyasu Saitoh , Takeshi Kawasaki

Spatial distributions of heavy particles suspended in an incompressible isotropic and homogeneous turbulent flow are investigated by means of high resolution direct numerical simulations. In the dissipative range, it is shown that particles…

Chaotic Dynamics · Physics 2007-05-23 J. Bec , L. Biferale , M. Cencini , A. Lanotte , S. Musacchio , F. Toschi

In this paper we study the four point correlation function $\chi_4$ of collective density fluctuations in a nonequilibrium liquid. The equilibration is controlled by a modified stretched exponential behavior ( $\exp…

Statistical Mechanics · Physics 2014-02-17 Bhaskar Sen Gupta , Shankar P. Das

We investigate by direct numerical simulations the fluid-solid interaction of non-dilute suspensions of spherical particles moving in triperiodic turbulence, at the relatively large Reynolds number of $Re_\lambda \approx 400$. The…

Fluid Dynamics · Physics 2024-06-05 Alessandro Chiarini , Marco Edoardo Rosti

The packing and flow of aspherical frictional particles are studied using discrete element simulations. Particles are superballs with shape $|x|^{s}+|y|^{s}+|z|^{s} = 1$ that varies from sphere ($s=2$) to cube ($s=\infty$), constructed with…

Direct measurements of the acceleration of spheres and disks impacting granular media reveal simple power law scalings along with complex dynamics which bear the signatures of both fluid and solid behavior. The penetration depth scales…

Soft Condensed Matter · Physics 2009-11-13 Daniel I Goldman , Paul B. Umbanhowar

The dynamic and kinetic behavior of processes occurring in fractals with spatial discrete scale invariance (DSI) is considered. Spatial DSI implies the existence of a fundamental scaling ratio (b_1). We address time-dependent physical…

Statistical Mechanics · Physics 2009-11-13 M. A. Bab , G. Fabricius , Ezequiel V. Albano.

We track the motion of a horizontally vibrated amorphous assembly of bidisperse hard disks, for densities ranging across the jamming transition. We derive on very general grounds a bound on the dynamical susceptibility in terms of the…

Soft Condensed Matter · Physics 2008-08-26 F. Lechenault , O. Dauchot , G. Biroli , J. P. Bouchaud

The onset and growth of rigid clusters in a two-dimensional (2D) suspension in shear flow are studied by numerical simulations. The suspension exhibits the lubricated-to-frictional rheology transition, but the key results here are for…

Soft Condensed Matter · Physics 2025-10-27 Aritra Santra , Michel Orsi , Bulbul Chakraborty , Jeffrey F. Morris

We study the two-dimensional (2D) shear flow of amorphous solids within variants of an elastoplastic model, paying particular attention to spatial correlations and time fluctuations of, e.g., local stresses. The model is based on the local…

Soft Condensed Matter · Physics 2014-03-27 Alexandre Nicolas , Kirsten Martens , Lydéric Bocquet , Jean-Louis Barrat

Suspension of particles in a fluid solvent are ubiquitous in nature, for example, water mixed with sugar or bacteria self-propelling through mucus. Particles create local flow perturbations that can modify drastically the effective…

Soft Condensed Matter · Physics 2024-10-16 S. Dang , C. Blanch-Mercader , L. Berlyand

We have investigated dynamical heterogeneity in a highly supercooled liquid using molecular-dynamics simulations in three dimensions. Dynamical heterogeneity can be characterized by three quantities: correlation length $\xi_4$, intensity…

Soft Condensed Matter · Physics 2012-04-25 Hideyuki Mizuno , Ryoichi Yamamoto

The slow flow of amorphous solids exhibits striking heterogeneities: swift localised particle rearrangements take place in the midst of a more or less homogeneously deforming medium. Recently, experimental as well as numerical work has…

Soft Condensed Matter · Physics 2014-03-04 Alexandre Nicolas , Joerg Rottler , Jean-Louis Barrat

The steady state reached by a system of particles sliding down a fluctuating surface has interesting properties. Particle clusters form and break rapidly, leading to a broad distribution of sizes and large fluctuations. The density-density…

Statistical Mechanics · Physics 2015-05-13 Apoorva Nagar , Mustansir Barma

Elliptic flow ($v_2$) and hexadecupole flow ($v_4$) of light clusters have been studied in details for 25 MeV/nucleon $^{86}$Kr + $^{124}$Sn at large impact parameters by Quantum Molecular Dynamics model with different potential parameters.…

Nuclear Theory · Physics 2008-11-26 T. Z. Yan , Y. G. Ma , X. Z. Cai , D. Q. Fang , W. Guo , C. W. Ma , W. Q. Shen , W. D. Tian , K. Wang

We analyse, using Inhomogenous Mode-Coupling Theory, the critical scaling behaviour of the dynamical susceptibility at a distance epsilon from continuous second-order glass transitions. We find that the dynamical correlation length xi…

Disordered Systems and Neural Networks · Physics 2014-12-17 Saroj Kumar Nandi , Giulio Biroli , Jean-Philippe Bouchaud , Kunimasa Miyazaki , David R. Reichman
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