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We employ computer simulations to unveil the translational and rotational dynamics of the self-driven chemically symmetric and asymmetric rigid dumbbells in two-dimensional polymer gel. Our results show that activity or the self-propulsion…

Soft Condensed Matter · Physics 2022-03-21 Praveen Kumar , Ligesh Theeyancheri , Rajarshi Chakrabarti

Combining experimental observations of Quincke roller clusters with computer simulations and a stability analysis, we explore the formation and stability of two interlocked self-propelled dumbbells. For large self-propulsion and significant…

Soft Condensed Matter · Physics 2023-06-14 Fabian Jan Schwarzendahl , Abraham Maulean-Amieva , C. Patrick Royall , Hartmut Löwen

We study the dynamics and interaction of two swimming bacteria, modeled by self-propelled dumbbell-type structures. We focus on alignment dynamics of a coplanar pair of elongated swimmers, which propel themselves either by pushing" or…

Analysis of PDEs · Mathematics 2008-11-24 Vitaliy Gyrya , Igor S. Aranson , Leonid V. Berlyand , Dmitry Karpeev

We study the over-damped dynamics of individual one-dimensional elastic filaments subjected to a chiral active force which propels each point of the filament at a fixed angle relative to the tangent vector of the filament at that point.…

Soft Condensed Matter · Physics 2026-03-09 Chanania Steinbock , Daniel A. Beller

We investigate a two-dimensional system of active Brownian dumbbells using molecular dynamics simulations. In this model, each dumbbell is driven by an active force oriented perpendicular to the axis connecting its two constituent beads. We…

A 3D pendulum consists of a rigid body, supported at a fixed pivot, with three rotational degrees of freedom. The pendulum is acted on by a gravitational force. Symmetry assumptions are shown to lead to the planar 1D pendulum and to the…

Dynamical Systems · Mathematics 2007-07-10 Nalin A. Chaturvedi , Taeyoung Lee , Melvin Leok , N. Harris McClamroch

In this article, we present the collective dynamics of active dumbbells in the presence of a static circular obstacle using Brownian dynamics simulation. The active dumbbells aggregate on the surface of a circular obstacle beyond a critical…

Soft Condensed Matter · Physics 2024-06-12 Chandranshu Tiwari , Sunil P. Singh

We compute the hydrodynamic torque on a dumbbell (two spheres linked by a massless rigid rod) settling in a quiescent fluid at small but finite Reynolds number. The spheres have the same mass densities but different sizes. When the sizes…

Fluid Dynamics · Physics 2025-10-01 F. Candelier , B. Mehlig

We present theoretical results on the deterministic and stochastic motion of a dumbbell carried by a uniform flow through a three-dimensional spatially periodic potential. Depending on parameters like the flow velocity, there are two…

Classical Physics · Physics 2009-03-16 Jochen Bammert , Walter Zimmermann

Entropic self-assembly is governed by the shape of the constituent particles, yet a priori prediction of crystal structures from particle shape alone is non-trivial for anything but the simplest of space-filling shapes. At the same time,…

Soft Condensed Matter · Physics 2023-05-16 Philipp W. A. Schönhöfer , Kai Sun , Xiaoming Mao , Sharon C. Glotzer

Deformations of heavy elastic cylinders with their axis in the direction of earth's gravity field are investigated. The specimens, made of polyacrylamide hydrogels, are attached from their top circular cross section to a rigid plate. An…

Soft Condensed Matter · Physics 2019-06-10 Serge Mora , Edward Ando , Jean-Marc Fromental , Ty Phou , Yves Pomeau

When a colloidal probe is forced through a viscoelastic fluid which is characterized by a long stress-relaxation time, the fluid is excited out of equilibrium. This is leading to a number of interesting effects including a non-trivial…

Soft Condensed Matter · Physics 2024-02-05 Karthika Krishna Kumar , Juliana Caspers , Félix Ginot , Matthias Krüger , Clemens Bechinger

We study by simulation the physics of two colloidal particles in a cholesteric liquid crystal with tangential order parameter alignment at the particle surface. The effective force between the pair is attractive at short range and favors…

Soft Condensed Matter · Physics 2015-03-19 J. S. Lintuvuori , K. Stratford , M. E. Cates , D. Marenduzzo

Slithering, crawling, slipping, gliding are various modes of limbless locomotion that have been mimicked for micro-manipulation of soft, slender and sessile objects. A lesser known mode is rolling which involves periodic, asymmetric and…

Soft Condensed Matter · Physics 2015-10-19 Dipabali Hore , Abhijit Majumder , Subrata Mondal , Abhijit Roy , Animangsu Ghatak

A ball-polyhedron is the intersection with non-empty interior of finitely many (closed) unit balls in Euclidean 3-space. One can represent the boundary of a ball-polyhedron as the union of vertices, edges, and faces defined in a rather…

Metric Geometry · Mathematics 2013-02-13 Karoly Bezdek , Marton Naszodi

We show the existence of families of periodic polyhedra in spaces of constant curvature whose fundamental domains can be obtained by attaching prisms and antiprisms to Archimedean solids. These polyhedra have constant discrete curvature and…

Differential Geometry · Mathematics 2024-01-09 Christina Duffield , Daniel Freese , William Holt , Matthias Weber , Ramazan Yol

We study oriented connected closed polyhedral surfaces with non-degenerate triangular faces in three-dimensional Euclidean space, calling them polyhedra for short. A polyhedron is called flexible if its spatial shape can be changed…

Metric Geometry · Mathematics 2020-06-08 Victor Alexandrov

The equilibrium configuration of an engineering structure, able to withstand a certain loading condition, is usually associated with a local minimum of the underlying potential energy. However, in the nonlinear context, there may be other…

Chaotic Dynamics · Physics 2019-02-04 Jun Zhong , Lawrence N. Virgin , Shane D. Ross

We study the emergent orientational dynamics of a dumbbell dimer -- two asymmetric monomers connected by a linking spring -- in a three-dimensional chiral environment with odd viscosity. In classical systems with conserved parity symmetry,…

Soft Condensed Matter · Physics 2025-10-23 Michalis Chatzittofi , Yuto Hosaka

With the help of molecular dynamics simulations we study an ensemble of active dumbbells in purely repulsive interaction. We derive the phase diagram in the density-activity plane and we characterise the various phases with liquid, hexatic…

Statistical Mechanics · Physics 2018-12-21 Isabella Petrelli , Pasquale Digregorio , Leticia F. Cugliandolo , Giuseppe Gonnella , Antonio Suma
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