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Responsive particles, such as biomacromolecules or hydrogels, display a broad and polymodal distribution of conformations and have thus the ability to change their properties (e.g, size, shape, charge density, etc.) substantially in…

Soft Condensed Matter · Physics 2020-10-28 Yi-Chen Lin , Benjamin Rotenberg , Joachim Dzubiella

In random sequential covering, identical objects are deposited randomly, irreversibly, and sequentially; only attempts increasing the coverage are accepted. A finite system eventually gets congested, and we study the statistics of congested…

Probability · Mathematics 2023-03-28 P. L. Krapivsky

The phase behavior of helical packings of thermoresponsive microspheres inside glass capillaries is studied as a function of volume fraction. Stable packings with long-range orientational order appear to evolve abruptly to disordered states…

Soft Condensed Matter · Physics 2010-04-14 Matthew A. Lohr , Ahmed M. Alsayed , Bryan G. Chen , Zexin Zhang , Randall D. Kamien , Arjun G. Yodh

Turbulent suspensions of heavy particles in incompressible flows have gained much attention in recent years. A large amount of work focused on the impact that the inertia and the dissipative dynamics of the particles have on their dynamical…

Chaotic Dynamics · Physics 2009-11-13 Jeremie Bec , Massimo Cencini , Rafaela Hillerbrand , Konstantin Turitsyn

We discuss the two-dimensional motion of a Brownian particle that is confined to a harmonic trap and driven by a shear flow. The surrounding medium induces memory effects modelled by a linear, typically nonreciprocal coupling of the…

Statistical Mechanics · Physics 2024-04-26 Lea Fernandez , Siegfried Hess , Sabine H. L. Klapp

Packing is a complex phenomenon of prominence in many natural and industrial processes (liquid crystals, granular materials, infiltration, melting, flow, sintering, segregation, sedimentation, compaction, etc.). A variety of computational…

Chemical Physics · Physics 2012-05-31 Danilo Sergi , Claudio D'Angelo , Giulio Scocchi , Alberto Ortona

We provide a detailed derivation of a recently developed first-principles approach to calculating averages in systems of interacting, spherical Brownian particles under time-dependent flow. Although we restrict ourselves to flows which are…

Soft Condensed Matter · Physics 2015-06-05 J. M. Brader , M. E. Cates , M. Fuchs

A random neighbor extremal stick-slip model is introduced. In the thermodynamic limit, the distribution of states has a simple analytical form and the mean avalanche size, as a function of the coupling parameter, is exactly calculable. The…

Statistical Mechanics · Physics 2010-06-10 Osame Kinouchi , Carmen P. C. do Prado

We consider a run-and-tumble particle whose speed and tumbling rate are space-dependent on an infinite line. Unlike most of the previous work on such models, here we make the physical assumption that at large distances, these rates saturate…

Statistical Mechanics · Physics 2024-12-10 Kavita Jain , Sakuntala Chatterjee

We study both experimentally and theoretically the rheological behavior of isotropic bidisperse suspensions of noncolloidal particles in yield stress fluids. We focus on materials in which noncolloidal particles interact with the suspending…

Soft Condensed Matter · Physics 2010-07-26 Thai-Son Vu , Guillaume Ovarlez , Xavier Chateau

We consider a two-letter self-avoiding (square) lattice heteropolymer model of N_H (out ofN) attracting sites. At zero temperature, permanent links are formed leading to collapse structures for any fraction rho_H=N_H/N. The average chain…

Statistical Mechanics · Physics 2009-10-28 Carlos J. Camacho , Tone Schanke

Two-dimensional random Lorentz gases with absorbing traps are considered in which a moving point particle undergoes elastic collisions on hard disks and annihilates when reaching a trap. In systems of finite spatial extension, the…

Chaotic Dynamics · Physics 2015-06-26 I. Claus , P. Gaspard , H. van Beijeren

Run-and-tumble particles (RTPs) have emerged as a paradigmatic example for studying nonequilibrium phenomena in statistical mechanics. The invariant measure of a wide class of RTPs subjected to a potential possesses a density that is…

Statistical Mechanics · Physics 2025-11-24 Leo Hahn

Dense non-Brownian suspension flows of hard particles display mystifying properties: as the jamming threshold is approached, the viscosity diverges, as well as a length scale that can be identified from velocity correlations. To unravel the…

Statistical Mechanics · Physics 2015-06-16 Gustavo Düring , Edan Lerner , Matthieu Wyart

We propose a simple and general model accounting for the dependence of the viscosity of a hard sphere suspension at arbitrary volume fractions. The model constitutes a continuum-medium description based on a recursive-differential method…

Soft Condensed Matter · Physics 2009-11-13 Carlos I. Mendoza , Ivan Santamaria-Holek

We examine the thermodynamic limit of fluids of hard core particles that are polydisperse in size and shape. In addition, particles may interact magnetically. Free energy of such systems is a random variable because it depends on the choice…

Statistical Mechanics · Physics 2007-05-23 S. Banerjee , R. B. Griffiths , M. Widom

We study the local and global rheology of non-Brownian suspensions in a solvent that is not density-matched, leading to either creaming or sedimentation of the particles. Both local and global measurements show that the incomplete density…

The Symmetric Exclusion Process (SEP), in which particles hop symmetrically on a discrete line with hard-core constraints, is a paradigmatic model of subdiffusion in confined systems. This anomalous behavior is a direct consequence of…

Statistical Mechanics · Physics 2018-06-13 Alexis Poncet , Olivier Bénichou , Vincent Démery , Gleb Oshanin

In this report, the explicit probability density functions of the random Euclidean distances associated with regular hexagons are given, when the two endpoints of a link are randomly distributed in the same hexagon, and two adjacent…

General Mathematics · Mathematics 2021-01-26 Yanyan Zhuang , Jianping Pan

We derive exact statistical properties of a class of recursive fragmentation processes. We show that introducing a fragmentation probability 0<p<1 leads to a purely algebraic size distribution in one dimension, P(x) ~ x^{-2p}. In d…

Statistical Mechanics · Physics 2007-05-23 P. L. Krapivsky , I. Grosse , E. Ben-Naim