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It is known from quantum mechanics that particles are associated with wave functions, and that the probability of observing a particle at some future location is proportional to the squared modulus of the amplitude of its wave function.…

History and Philosophy of Physics · Physics 2022-10-11 Stuart Heinrich

Density-dependent diffusion is a widespread phenomenon in nature. We have examined the density-dependent diffusion behavior of some biological processes such as tumor growth and invasion [23]. Here, we extend our previous work by developing…

Statistical Mechanics · Physics 2022-02-14 Ahmed M. Fouad , Marwa M. Fouad

We review theoretical models of individual motility as well as collective dynamics and pattern formation of active particles. We focus on simple models of active dynamics with a particular emphasis on nonlinear and stochastic dynamics of…

Other Condensed Matter · Physics 2015-06-04 Pawel Romanczuk , Markus Bär , Werner Ebeling , Benjamin Lindner , Lutz Schimansky-Geier

We generalize the Green-Kubo approach, previously applied to bulk systems of spherically symmetric active particles [J. Chem. Phys. 145, 161101 (2016)], to include spatially inhomogeneous activity. The method is applied to predict the…

Soft Condensed Matter · Physics 2017-09-20 Abhinav Sharma , Joseph Brader

We address the question of the dependence of the fragility of glass forming supercooled liquids on the softness of an interacting potential by performing numerical simulation of a binary mixture of soft spheres with different power n of the…

Soft Condensed Matter · Physics 2007-05-23 Cristiano De Michele , Francesco Sciortino , Antonio Coniglio

We show that the slowing of the dynamics in simulations of several model glass-forming liquids is equivalent to the hard-sphere glass transition in the low-pressure limit. In this limit, we find universal behavior of the relaxation time by…

Soft Condensed Matter · Physics 2009-12-17 Ning Xu , Thomas K. Haxton , Andrea J. Liu , Sidney R. Nagel

We use molecular dynamics simulations to study the dynamics of Janus particles, micro- or nanoparticles which are not spherically symmetric, in the uniform flow of a simple liquid. In particular we consider spheres with an asymmetry in the…

Fluid Dynamics · Physics 2016-06-10 Aurelien Y. M. Archereau , Shaun C. Hendy , Geoff. R. Willmott

A mixture of hard-sphere particles and model emulsion droplets is studied with a Brownian dynamics simulation. We find that the addition of nonwetting emulsion droplets to a suspension of pure hard spheres can lead to both gas-liquid and…

Soft Condensed Matter · Physics 2015-03-13 Andrea Fortini

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

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these…

Soft Condensed Matter · Physics 2013-01-24 Nicolas Desreumaux , Jean-Baptiste Caussin , Raphael Jeanneret , Eric Lauga , Denis Bartolo

Dynamical behavior of steady granular flow is investigated numerically in the inelastic hard sphere limit of the soft sphere model. We find distinctively different limiting behaviors for the two flow regimes, i.e., the collisional flow and…

Statistical Mechanics · Physics 2009-11-07 Namiko Mitarai , Hiizu Nakanishi

Although the dynamics of colloids in the vicinity of a solid interface has been widely characterized in the past, experimental studies of Brownian diffusion close to an air-water interface are rare and limited to particle-interface gap…

Soft Condensed Matter · Physics 2022-11-11 Stefano Villa , Christophe Blanc , Abdallah Daddi-Moussa-Ider , Antonio Stocco , Maurizio Nobili

Particle-particle interactions are of paramount importance in every multi-body system as they determine the collective behaviour and coupling strength. Many well-known interactions like electro-static, van der Waals or screened Coulomb,…

Biological Physics · Physics 2015-07-17 Karolis Misiunas , Stefano Pagliara , Eric Lauga , John R. Lister , Ulrich F. Keyser

We study the dynamical decay of the van Hove function of Brownian hard spheres using event-driven Brownian dynamics simulations and dynamic test particle theory. Relevant decays mechanisms include deconfinement of the self particle, decay…

Soft Condensed Matter · Physics 2022-04-20 Lucas L. Treffenstädt , Thomas Schindler , Matthias Schmidt

We develop a kinetic theory of Brownian particles with long and short range interactions. We consider both overdamped and inertial models. In the overdamped limit, the evolution of the spatial density is governed by the generalized mean…

Statistical Mechanics · Physics 2015-05-19 Pierre-Henri Chavanis

We investigate sedimentation of model hard sphere-like colloidal dispersions confined in horizontal capillaries using laser scanning confocal microscopy, dynamical density functional theory, and Brownian dynamics computer simulations. For…

Soft Condensed Matter · Physics 2009-11-13 C. Patrick Royall , Joachim Dzubiella , Matthias Schmidt , Alfons van Blaaderen

We present a novel approach of mapping dissipative particle dynamics (DPD) into classical molecular dynamics. By introducing the invariant volume element representing the swarm of atoms we show that the interactions between the emerging…

Soft Condensed Matter · Physics 2019-02-19 Vlad P Sokhan , Ilian T Todorov

An alternative equilibrium stochastic dynamics for a Brownian particle in inhomogeneous space is derived. Such a dynamics can model the motion of a complex molecule in its conformation space when in equilibrium with a uniform heat bath. The…

Statistical Mechanics · Physics 2016-12-20 A. Bhattacharyay

Active matter studies are increasingly geared towards the high-density or glassy limit. This is mainly inspired by the remarkable resemblance between active glassy materials and conventional passive glassy matter. Interestingly, within this…

Soft Condensed Matter · Physics 2022-11-28 Vincent E. Debets , Liesbeth M. C. Janssen

We introduce an event-driven simulation scheme for overdamped dynamics of frictionless hard spheres subjected to external forces, neglecting hydrodynamic interactions. Our event-driven approach is based on an exact equation of motion which…

Soft Condensed Matter · Physics 2015-06-03 Edan Lerner , Gustavo Düring , Matthieu Wyart
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