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We investigate - with Monte Carlo computer simulations - the phase behaviour of dimeric colloidal molecules on periodic substrates with square symmetry. The molecules are formed in a two-dimensional suspension of like charged colloids…

Soft Condensed Matter · Physics 2015-06-04 Samir El Shawish , Emmanuel Trizac , Jure Dobnikar

We examine the behavior of $n$ Brownian particles diffusing on the real line with bounded, measurable drift and bounded, piecewise continuous diffusion coefficients that depend on the current configuration of particles. Sufficient…

Probability · Mathematics 2010-10-19 Tomoyuki Ichiba , Ioannis Karatzas

Models of fractal growth commonly consider particles diffusing in a medium and that stick irreversibly to the forming aggregate when making contact for the first time. As shown by the well-known diffusion limited aggregation (DLA) model and…

Statistical Mechanics · Physics 2023-10-19 Uriel Villanueva-Alcalá , José R. Nicolás-Carlock , Denis Boyer

Using Brownian dynamics (BD) simulations and an analytical approach we investigate the shear-induced, nonequilibrium dynamics of dense colloidal suspensions confined to a narrow slit-pore. Focusing on situations where the colloids arrange…

Soft Condensed Matter · Physics 2017-01-04 Sascha Gerloff , Sabine H. L. Klapp

Using a simple mean-field density functional theory theory (DFT), we investigate the structure and phase behaviour of a model colloidal fluid composed of particles interacting via a pair potential which has a hard core of diameter $\sigma$,…

Soft Condensed Matter · Physics 2007-05-23 A. J. Archer , D. Pini , R. Evans , L. Reatto

We develop a dynamic mean-field theory for polar active particles that interact through a self-generated field, in particular one generated through emitting a chemical signal. While being a form of chemotactic response, it is different from…

Statistical Mechanics · Physics 2020-01-15 Andreas Fischer , Friederike Schmid , Thomas Speck

Micrometre sized colloidal particles can be viewed as large atoms with tailorable size, shape and interactions. These building blocks can assemble into extremely rich structures and phases, in which the thermal motions of particles can be…

Soft Condensed Matter · Physics 2017-11-10 Bo Li , Di Zhou , Yilong Han

Starting from the many-particle Smoluchowski equation, we derive dynamical density functional theory for Brownian particles with an arbitrary shape. Both passive and active (self-propelled) particles are considered. The resulting theory…

Soft Condensed Matter · Physics 2014-01-28 Raphael Wittkowski , Hartmut Löwen

Colloidal particles are not simple rigid particles, in general an isolated particle is a system with many degrees of freedom in its own right, e.g., the counterions around a charged colloidal particle.The behaviour of model colloidal…

Statistical Mechanics · Physics 2009-10-31 Richard P. Sear

Silica nanoparticles trapped at air-water interface form a 2D solid state with amorphous order. We propose a theoretical model to describe how this solid-like state deforms under a shear strain ramp up to and beyond a yielding point which…

Soft Condensed Matter · Physics 2017-10-30 Armando Maestro , Alessio Zaccone

A microscopic model of the effect of unbinding in diffusion limited aggregation based on a cellular automata approach is presented. The geometry resembles electrochemical deposition - ``ions'' diffuse at random from the top of a container…

Materials Science · Physics 2009-11-11 G. J. Ackland , E. S. Tweedie

Labyrinthine patterns arise in two-dimensional physical systems submitted to competing interactions, ranging from the fields of solid-state physics to hydrodynamics. For systems of interacting particles, labyrinthine and stripe phases were…

Soft Condensed Matter · Physics 2015-12-16 Simon Merminod , Timothee Jamin , Eric Falcon , Michael Berhanu

We introduce the idea of {\it collisional models} for Brownian particles, in which a particle is sequentially placed in contact with distinct thermal environments and external forces. Thermodynamic properties are exactly obtained,…

Statistical Mechanics · Physics 2020-10-07 Angel L. L. Stable , Carlos E. F. Noa , William G. C. Oropesa , C. E. Fiore

We study a lattice-gas model of penetrable particles on a square-lattice substrate with same-site and nearest-neighbor interactions. Penetrability implies that the number of particles occupying a single lattice site is unlimited and the…

Soft Condensed Matter · Physics 2020-08-21 Derek Frydel , Yan Levin

Patchy colloidal model with three and four equivalent patches, confined in the attractive random porous media, undergo re-entrant gas-liquid phase separation with the possibility for the liquid phase density to approach zero. This unusual…

Soft Condensed Matter · Physics 2022-05-11 Taras Hvozd , Yurij V. Kalyuzhnyi , Vojko Vlachy , Peter T. Cummings

We present a predictive local field theory for the nonequilibrium dynamics of interacting active Brownian particles with a spherical shape in two spatial dimensions. The theory is derived by a rigorous coarse-graining starting from the…

Soft Condensed Matter · Physics 2020-05-26 Jens Bickmann , Raphael Wittkowski

We investigate the phase behaviour of 2D mixtures of bi-functional and three-functional patchy particles and 3D mixtures of bi-functional and tetra-functional patchy particles by means of Monte Carlo simulations and Wertheim theory. We…

The construction of coarse-grained descriptions of a system's kinetics is well established in biophysics. One prominent example is Markov state models in protein folding dynamics. In this paper, we develop a coarse-grained, discrete state…

Soft Condensed Matter · Physics 2024-12-23 Salman Fariz Navas , Sabine H. L. Klapp

Particles and fields are standard components in numerical simulations like transport simulations in nuclear physics and have very well understood dynamics. Still, a common problem is the interaction between particles and fields due to their…

High Energy Physics - Phenomenology · Physics 2015-04-16 Christian Wesp , Hendrik van Hees , Alex Meistrenko , Carsten Greiner

We describe simulations of active Brownian particles carried out to explore how dynamics and clustering are influenced by particle shape. Our particles are composed of four disks, held together by springs, whose relative size can be varied.…

Soft Condensed Matter · Physics 2021-12-07 Joshua Eglinton , Mike I. Smith , Michael R. Swift