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We review some recent coarse-graining and multi-scale methods, but also put forward some new ideas for addressing such issues. We find that, if one is guided by nonequilibrium statistical mechanics and thermodynamics, it is possible to…

Soft Condensed Matter · Physics 2009-11-06 Patrick Ilg , Vlasis Mavrantzas , Hans Christian Öttinger

An impact of particles' roughness on the self-diffusion coefficient in granular gases is investigated. For a simplified collision model where the normal and tangential restitution coefficients are assumed to be constant we develop an…

Statistical Mechanics · Physics 2012-01-19 Anna Bodrova , Nikolai Brilliantov

A model reduction technique based on an optimization principle is employed to coarse-grain inviscid, incompressible fluid dynamics in two dimensions. In this reduction the spectrally-truncated vorticity equation defines the microdynamics,…

Fluid Dynamics · Physics 2016-09-21 Bruce Turkington , Qian-Yong Chen , Simon Thalabard

We review a few representative examples of granular experiments or models where phase separation, accompanied by domain coarsening, is a relevant phenomenon. We first elucidate the intrinsic non-equilibrium, or athermal, nature of granular…

Statistical Mechanics · Physics 2015-04-29 Andrea Baldassarri , Andrea Puglisi , Alessandro Sarracino

Model calculations that include the effects of irreversible, environmental couplings on top of a coupled-channels dynamical description of the collision of two complex nuclei are presented. The Liouville-von Neumann equation for the…

Nuclear Theory · Physics 2009-11-13 Alexis Diaz-Torres , David Hinde , Mahananda Dasgupta , Gerard Milburn , Jeff Tostevin

Particle beams are important tools for probing atomic and molecular interactions. Here we demonstrate that particle beams also offer a unique opportunity to investigate interactions in macroscopic systems, such as granular media. Motivated…

Soft Condensed Matter · Physics 2015-05-19 Scott R. Waitukaitis , Helge F. Gruetjen , John R. Royer , Heinrich M. Jaeger

Granular segregation is ubiquitous in industrial, geological or daily-life context, but there is still no unifying theoretical approach. In this review, we examine two examples of granular segregation -- shallow rapid flows and rotating…

Soft Condensed Matter · Physics 2015-03-13 Matthias Schröter , Karen E. Daniels

In this paper, a statistical physical derivation of thermodynamically consistent fluid mechanical equations is presented for non-isothermal viscous molecular fluids. The coarse-graining process is based on (i) the adiabatic expansion of the…

Statistical Mechanics · Physics 2024-04-18 Gyula I. Tóth

A discrete binomial random-walk description of molecular collisions is used to quantify the variance of coarse-grained velocity fields arising solely from collision-induced momentum exchange. Closed-form expressions for the growth of…

Chemical Physics · Physics 2026-02-26 Tristan Barkman

Here we theoretically and computationally study the frequency dependence of phase speed and attenuation for marine sediments from the perspective of granular mechanics. We leverage recent theoretical insights from the granular physics…

Soft Condensed Matter · Physics 2024-05-13 Abram H. Clark , Derek R. Olson , Andrew J. Swartz , W. Mason Starnes

A thermodynamic formulation for moving granular material is proposed. The fluctuations due to the constant flux and dissipation of energy are controlled in a `granular' ensemble by a pressure $\wp$ (`compression') which is conjugate to a…

Condensed Matter · Physics 2009-10-22 H. J. Herrmann

We use computer simulations to study highly dense systems of granular particles that are driven by oscillating forces. We implement different dissipation mechanisms that are used to extract the injected energy. In particular, the action of…

Soft Condensed Matter · Physics 2016-10-27 Ronny Moebius , Claus Heussinger

The Misner and Sharp approach to the study of gravitational collapse is extended to the viscous dissipative case in, both, the streaming out and the diffusion approximations. The dynamical equation is then coupled to causal transport…

General Relativity and Quantum Cosmology · Physics 2009-03-24 L. Herrera , A. Di Prisco , E. Fuenmayor , O. Troconis

Compaction is considered and embedded into broader granular behavior. Reversible compaction is related to the pressure exerted by agitated grains, a quantity relevant to dense flow. Irreversible compaction is derived from the loss of…

Soft Condensed Matter · Physics 2010-11-22 Yimin Jiang , Mario Liu

Complex physical dynamics can often be modeled as a Markov jump process between mesoscopic configurations. When jumps between mesoscopic states are mediated by thermodynamic reservoirs, the time-irreversibility of the jump process is a…

Statistical Mechanics · Physics 2017-04-12 Todd R. Gingrich , Grant M. Rotskoff , Jordan M. Horowitz

Analyses of impact provide rich insights from the evolution of granular bodies to their structural properties of the surface and subsurface layers of celestial bodies. Although chemical cohesive bonding has been observed in asteroid…

Soft Condensed Matter · Physics 2025-07-22 Seungju Yeo , Rachel Glade , Alice Quillen , Hesam Askari

Granular segregation is an important mechanism for industrial processes aiming at mixing grains. Additionally, it plays a pivotal role in determining the kinematics of geophysical flows. Because of segregation, the grainsize distribution…

Soft Condensed Matter · Physics 2013-04-17 Benjy Marks , Itai Einav

A general framework for performing event-driven simulations of systems with semi-flexible or rigid bodies interacting under impulsive torques and forces is outlined. Two different approaches are presented. In the first, the dynamics and…

Statistical Mechanics · Physics 2007-05-23 Lisandro Hernandez de la Pena , Ramses van Zon , Jeremy Schofield , Sheldon B. Opps

Forced granular matter in confined geometries presents phase transitions and coexistence. Depending on the system and forcing parameters, liquid-vapor and liquid-solid co-existing states are possible. For the solid-liquid coexistence that…

Soft Condensed Matter · Physics 2025-11-10 Sébastien Aumaître , Nicolas Mujica

Based on the microscopic model, the friction coefficient for the relative motion of nuclei in deep-inelastic heavy-ion collisions is calculated. The radial dependence of the friction coefficient is studied and the results are compared with…

Nuclear Theory · Physics 2008-11-26 G. G. Adamian , R. V. Jolos , A. K. Nasirov , A. I. Muminov