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This work presents a detailed review of the methods proposed to implement Mindlin's no-slip and partial slip model under constant normal loading and Mindlin Deresiewicz's extensional work on micro-slip under varying normal loading, for the…

Other Condensed Matter · Physics 2025-09-10 S Ganguli , P S Goswami , M Bose

The thermodynamic basis of classical mechanics is presented. In this framework, ideal Newtonian mechanics emerges as the zero-dissipation limit of a more general, dissipative theory. The thermodynamic approach predicts a novel dissipative…

Classical Physics · Physics 2026-03-17 Peter Ván

The selection of parameters in the contact law for inter-particle interactions affects the results of simulations of flowing granular materials. The present study aims to understand the effect of the ratio of tangential to normal spring…

Soft Condensed Matter · Physics 2024-12-23 Alok Tiwari , Sourav Ganguli , Manaswita Bose , V Kumaran

We report two-dimensional simulations of strongly vibrated granular materials without gravity. The coefficient of restitution depends on the impact velocity between particles by taking into account both the viscoelastic and plastic…

Other Condensed Matter · Physics 2009-09-29 Sean Mcnamara , Eric Falcon

In this paper, we consider the spatially inhomogeneous diffusively driven inelastic Boltzmann equation in different cases: the restitution coefficient can be constant or can depend on the impact velocity (which is a more physically relevant…

Analysis of PDEs · Mathematics 2015-12-04 Isabelle Tristani

The most widely used model for granular gases is perhaps the inelastic hard-sphere model (IHSM), where the grains are assumed to be perfectly smooth spheres colliding with a constant coefficient of normal restitution. A much more tractable…

Soft Condensed Matter · Physics 2022-09-09 Gilberto M. Kremer , Andrés Santos

We consider here a discrete system of spheres interacting through a lubrication force. This force is dissipative, and singular near contact: it behaves like the reciprocal of interparticle distance. We propose a macroscopic constitutive…

Analysis of PDEs · Mathematics 2012-09-06 Aline Lefebvre-Lepot , Bertrand Maury , Aline Lefebvre

This paper deals with the complex problem of how to simulate multiparticle contacts. The collision process is responsible for the transfer and dissipation of energy in granular media. A novel model of the interaction force between particles…

Computational Physics · Physics 2007-05-23 Leszczynski Jacek

A thorough understanding of the energy dissipation in the dynamics of wet granular matter is essential for a continuum description of natural phenomena such as debris flow, and the development of various industrial applications such as the…

Soft Condensed Matter · Physics 2015-06-12 Thomas Mueller , Frank Gollwitzer , Christof Kruelle , Ingo Rehberg , Kai Huang

In order to describe the velocity of two bodies after they collide, Newton developed a phenomenological equation known as "Newton\' s Experimental Law" (NEL). In this way, he was able to practically bypass the complication involving the…

Classical Physics · Physics 2021-02-03 Avi Marchewka

A thermal model of kinetic friction is assigned to a classical loaded particle moving on a fluctuating smooth surface. A sinusoidal wave resembles surface fluctuations with a relaxation time. The Hamiltonian is approximated to the mean…

Mesoscale and Nanoscale Physics · Physics 2023-05-08 Rasoul Kheiri

We investigate the cooling rate of a gas of inelastically interacting particles. When we assume velocity dependent coefficients of restitution the material cools down slower than with constant restitution. This behavior might have large…

Statistical Mechanics · Physics 2009-10-30 Thomas Schwager , Thorsten Poeschel

In most of the literature on granular gases it is assumed that the restitution coefficient \epsilon, which quantifies the loss of kinetic energy upon a collision is independent on the impact velocity. Experiments as well as theoretical…

Statistical Mechanics · Physics 2007-05-23 Nikolai V. Brilliantov , Thorsten Poeschel

If a contact of two purely elastic bodies with no sliding (infinite coefficient of friction) is subjected to superimposed oscillations in the normal and tangential directions, then a specific damping appears, that is not dependent on…

Soft Condensed Matter · Physics 2015-12-29 M. Popov , V. L. Popov , R. Pohrt

We use a simple generic model to study the desorption of atoms from a solid surface in contact with a liquid, by using a combination of Monte Carlo and molecular dynamics simulations. The behavior of the system depends on two parameters:…

Chemical Physics · Physics 2022-11-16 Krishna Jaiswal , Horia Metiu , Vishal Agarwal

In this note we discuss a paradigmatic example of interacting particles subject to non conservative external forces and to the action of thermostats consisting of external (finite) reservoirs of particles. We then consider a model of…

Statistical Mechanics · Physics 2009-11-11 F. Bonetto , G. Gallavotti , A. Giuliani , F. Zamponi

The structural coefficient of restitution describes the kinetic energy dissipation upon low-velocity (~0.1 m/s) impact of a small asteroid lander, MASCOT, against a hard, ideally elastic plane surface. It is a crucial worst-case input for…

We perform large-scale event-driven Molecular dynamics (MD) simulations for granular gases of particles interacting with the impact-velocity dependent restitution coefficient. We use the simplest first-principle collision model of…

Statistical Mechanics · Physics 2015-06-11 Awadhesh Kumar Dubey , Anna Bodrova , Sanjay Puri , Nikolai Brilliantov

We analyze, both analytically and numerically, the time-dependence of the return probability in closed systems of interacting particles. Main attention is paid to the interplay between two regimes, one of which is characterized by the…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. M. Izrailev , A. Castaneda-Mendoza

A gas of particles which collide inelastically if their impact velocity exceeds a certain value is investigated. In difference to common granular gases, cluster formation occurs only as a transient phenomenon. We calculate the decay of…

Statistical Mechanics · Physics 2009-11-07 Thorsten Poeschel , Nikolai V. Brilliantov , Thomas Schwager