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A quantum Monte Carlo simulation of a system of hard rods in one dimension is presented and discussed. The calculation is exact since the analytical form of the wavefunction is known, and is in excellent agreement with predictions obtained…

Other Condensed Matter · Physics 2009-11-13 F. Mazzanti , G. E. Astrakharchik , J. Boronat , J. Casulleras

Bounded potentials are good models to represent the effective two-body interaction in some colloidal systems, such as dilute solutions of polymer chains in good solvents. The simplest bounded potential is that of penetrable spheres, which…

Statistical Mechanics · Physics 2007-05-23 Alexandr Malijevsky , Andres Santos

We study self-contact phenomena in elastic rods that are constrained to lie on a cylinder. By choosing a particular set of variables to describe the rod centerline the variational setting is made particularly simple: the strain energy is a…

Mathematical Physics · Physics 2009-09-29 G. H. M. van der Heijden , M. A. Peletier , R. Planqué

We propose a general formalism to study the static properties of a system composed of particles with nearest neighbor interactions that are located on the sites of a one-dimensional lattice confined by walls (``confined Takahashi lattice…

Statistical Mechanics · Physics 2015-06-25 Joachim Buschle , Philipp Maass , Wolfgang Dieterich

The effect of cylindrical confinement on the phase behaviour of a system of parallel hard rods is studied using Onsager's second virial theory. The hard rods are represented as hard cylinders of diameter $D$ and length $L$, while the…

Soft Condensed Matter · Physics 2022-06-07 Szabolcs Varga , Yuri Martinez-Raton , Enrique Velasco

Hard-sphere fluids confined between parallel plates a distance $D$ apart are studied for a wide range of packing fractions, including also the onset of crystallization, applying Monte Carlo simulation techniques and density functional…

Statistical Mechanics · Physics 2011-10-10 Debabrata Deb , Alexander Winkler , Mohammad Hossein Yamani , Martin Oettel , Peter Virnau , Kurt Binder

In dense, static, polydisperse granular media under isotropic pressure, the probability density and the correlations of particle-wall contact forces are studied. Furthermore, the probability density functions of the populations of pressures…

Statistical Mechanics · Physics 2009-12-15 Stefan Luding , Micha-Klaus Mueller , Thorsten Poeschel

Aiming at simulating elastic rods, we discretize a rod model based on a general theory of hyperelasticity for inextensible and unshearable rods. After reviewing this model and discussing topological effects of periodic rods, we prove…

Numerical Analysis · Mathematics 2019-11-19 Sören Bartels , Philipp Reiter

Realistic fluid-solid interaction potentials are essential in description of confined fluids especially in the case of geometric heterogeneous surfaces. Correlated random field is considered as a model of random surface with high geometric…

Statistical Mechanics · Physics 2017-05-24 Aleksey Khlyupin , Timur Aslyamov

The behavior of active matter under confinement poses significant challenges due to the intricate coupling between dynamics near boundaries and those in the bulk. A defining feature of active matter systems is that a substantial portion of…

Analysis of PDEs · Mathematics 2025-08-25 Leonid Berlyand , Spencer Dang , Pierre-Emmanuel Jabin , Mykhailo Potomkin

A simple model of inelastic hard-rods subject to a one-dimensional array of identical wells is introduced. The energy loss due to inelastic collisions is balanced by the work supplied by an external stochastic heat-bath. We explore the…

Materials Science · Physics 2009-11-10 Fabio Cecconi , Umberto Marini-Bettolo-Marconi , Fabiana Diotallevi , Andrea Puglisi

An analytical form has been derived using Ostrogradski's integration method for the interaction between two thin rods of finite lengths in arbitrary relative configurations in a 3-dimensional space, each treated as a line of material points…

Soft Condensed Matter · Physics 2024-05-08 Junwen Wang , Gary Seidel , Shengfeng Cheng

We investigate excluded-volume effects in a bidisperse colloidal suspension near a flexible interface. Inspired by a recent experiment by Dinsmore et al. (Phys. Rev, Lett. 80, 409 (1998)), we study the adsorption of a mesoscopic bead on the…

Soft Condensed Matter · Physics 2009-11-10 Thomas Bickel

The properties of one-dimensional liquids are studied for several interaction potentials for which, under certain assumptions, the properties of the system admit an analytical solution. The studied potentials are the triangle-well and the…

Soft Condensed Matter · Physics 2017-10-04 Ana M. Montero

We present a study of connectivity percolation in suspensions of hard spherocylinders by means of Monte Carlo simulation and connectedness percolation theory. We focus attention on polydispersity in the length, the diameter and the…

Soft Condensed Matter · Physics 2015-06-02 Hugues Meyer , Paul van der Schoot , Tanja Schilling

We study a one dimensional gas of needle-like objects as a testing ground for a formalism that relates the thermodynamic properties of "hard" potentials to the probabilities for contacts between particles. Specifically, we use Monte Carlo…

Statistical Mechanics · Physics 2009-10-27 Yacov Kantor , Mehran Kardar

Numerical simulations using the Monte Carlo method were performed to study the electrical conductivity of two-dimensional films filled with rodlike particles (rods). The main goal was to investigate the effect of rod alignment on the…

The viscous drag on a slender rod by a wall is important to many biological and industrial systems. This drag critically depends on the separation between the rod and the wall and can be approximated asymptotically in specific regimes,…

Fluid Dynamics · Physics 2021-06-28 Lyndon Koens , Thomas D. Montenegro-Johnson

Understanding contact between rough surfaces undergoing plastic deformation is crucial in many applications. We test Persson's multiscale contact mechanics theory for elastoplastic solids, assuming a constant penetration hardness. Using a…

Soft Condensed Matter · Physics 2026-01-07 Andreas Almqvist , Bo N. J. Persson

The stretching and pinch-off of a liquid bridge is a simple way to probe when a suspension of particles stops behaving as a continuum. In this study, we consider density-matched suspensions of rigid nylon fibers with aspect ratios (length…

Soft Condensed Matter · Physics 2026-04-15 Virgile Thiévenaz , Nathan Vani , Alban Sauret