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The problem of mass diffusion in layered systems has relevance to applications in different scientific disciplines, e.g., chemistry, material science, soil science, and biomedical engineering. The mathematical challenge in these type of…

Statistical Mechanics · Physics 2020-10-28 Oded Farago

We investigate the relation between mobility and diffusivity for Brownian particles under steady shear near the glass transition, using mode coupling approximations. For the two directions perpendicular to the shear direction, the particle…

Soft Condensed Matter · Physics 2009-11-10 Matthias Krüger , Matthias Fuchs

Monodisperse suspensions of Brownian colloidal spheres crystallize at high densities, and ordering under shear has been observed at densities below the crystallization threshold. We perform large-scale simulations of a model suspension…

Soft Condensed Matter · Physics 2022-12-02 Abhay Goyal , Emanuela Del Gado , Scott Z Jones , Nicos S Martys

We computationally study suspensions of slow and fast active Brownian particles that have undergone motility induced phase separation and are at steady state. Such mixtures, of varying non-zero activity, remain largely unexplored even…

Soft Condensed Matter · Physics 2024-07-11 Nicholas J Lauersdorf , Ehssan Nazockdast , Daphne Klotsa

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 investigate the emergence of long-range correlations in granular shear flow. By increasing the density of a simulated granular flow we observe a spontaneous transition from a dilute regime, where interactions are dominated by binary…

Soft Condensed Matter · Physics 2009-11-11 Gregg Lois , Anael Lemaitre , Jean M. Carlson

X-ray photon correlation spectroscopy was used to probe the diffusive dynamics of colloidal particles in a shear flow. Combining X-ray techniques with microfluidics is an experimental strategy that reduces the risk of x-ray induced beam…

Soft Condensed Matter · Physics 2008-03-11 Andrei Fluerasu , Abdellatif Moussaid , Henri Gleyzolle , Peter Falus , Anders Madsen

Periodic boundary conditions for planar mixed flows are implemented in the context of a multi-chain Brownian dynamics simulation algorithm. The effect of shear rate $\dot{\gamma}$, and extension rate $\dot{\epsilon}$, on the size of polymer…

Soft Condensed Matter · Physics 2020-07-03 Aashish Jain , Chandi Sasmal , Remco Hartkamp , B. D. Todd , J. Ravi Prakash

We probe the onset and effect of contact changes in 2D soft harmonic particle packings which are sheared quasistatically under controlled strain. First, we show that in the majority of cases, the first contact changes correspond to the…

Soft Condensed Matter · Physics 2016-12-28 Merlijn S. van Deen , Brian P. Tighe , Martin van Hecke

We develop a nonequilibrium mode-coupling theory for uniformly sheared systems starting from microscopic, thermostatted SLLOD equations of motion. Our theory aims at describing stationary-state properties including rheological ones of…

Soft Condensed Matter · Physics 2009-11-13 Song-Ho Chong , Bongsoo Kim

Brownian motion is essential for describing diffusion in systems ranging from simple to complex liquids. Unlike simple liquids, which consist of only a solvent, complex liquids, such as colloidal suspensions or the cytoplasm of a cell, are…

Soft Condensed Matter · Physics 2025-02-27 Jeffrey C. Everts , Robert Hołyst , Karol Makuch

Amorphous particulate matter constitutes a wide range of natural and synthetic materials. Despite this ubiquity, the way in which these systems' disordered microstructure couples to their often subtle and complex dynamical behavior is not…

Soft Condensed Matter · Physics 2026-03-09 Erin G. Teich , Jason Z. Kim , Dani S. Bassett

Near-boundary Brownian motion is a classic hydrodynamic problem of great importance in a variety of fields, from biophysics to micro-/nanofluidics. However, due to challenges in experimental measurements of near-boundary dynamics, the…

Fluid Dynamics · Physics 2016-08-09 Kai Huang , Izabela Szlufarska

A system of interacting Brownian particles subject to short-range repulsive potentials is considered. A continuum description in the form of a nonlinear diffusion equation is derived systematically in the dilute limit using the method of…

Statistical Mechanics · Physics 2017-10-12 Maria Bruna , S. Jonathan Chapman , Martin Robinson

Second-order dissipative hydrodynamic equations for each component of a multi-component system are derived using the entropy principle. Comparison of the solutions with kinetic transport results demonstrates validity of the obtained…

High Energy Physics - Theory · Physics 2015-06-05 Andrej El , Ioannis Bouras , Christian Wesp , Zhe Xu , Carsten Greiner

We present Brownian dynamics simulation results of a flexible linear polymer with excluded-volume interactions under shear flow in the presence of active noise. The active noise strongly affects the polymer's conformational and dynamical…

Soft Condensed Matter · Physics 2023-11-21 Arindam Panda , Roland G. Winkler , Sunil P. Singh

We investigate the convergence of solutions of a recently proposed diffuse interface/phase field model for cell blebbing by means of matched asymptotic expansions. It is a biological phenomenon that increasingly attracts attention by both…

Analysis of PDEs · Mathematics 2023-02-10 Philipp Nöldner , Martin Burger , Harald Garcke

We propose a general framework to study transformations that drive an underdamped Brownian particle in contact with a thermal bath from an equilibrium state to a new one in an arbitrarily short time. To this end, we make use of a time and…

Statistical Mechanics · Physics 2019-01-21 Marie Chupeau , Sergio Ciliberto , David Guéry-Odelin , Emmanuel Trizac

We investigate long-range correlations (LRCs) induced by shear flow using the molecular dynamics (MD) simulation. We observe the LRCs by comparing the MD results with the linearized fluctuating hydrodynamics (LFH). We find that the MD…

Statistical Mechanics · Physics 2022-07-01 Hiroyoshi Nakano , Yuki Minami

Starting from the stochastic thermodynamics description of two coupled underdamped Brownian particles, we showcase and compare three different coarse-graining schemes leading to an effective thermodynamic description for the first of the…

Statistical Mechanics · Physics 2020-02-20 Tim Herpich , Kamran Shayanfard , Massimiliano Esposito