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The assembly of filamentous bundles with controlled diameters is common in biological systems and desirable for the development of nanomaterials. We discuss dynamical simulations and free energy calculations on patchy spheres with chiral…

Soft Condensed Matter · Physics 2015-05-18 Yasheng Yang , Robert B. Meyer , Michael F. Hagan

Molecular chirality frustrates the two-dimensional assembly of filamentous molecules, a fact that reflects the generic impossibility of imposing a global twisting of layered materials. We explore the consequences of this frustration for…

Soft Condensed Matter · Physics 2015-05-13 Gregory M. Grason

Chirality frustrates and shapes the assembly of flexible filaments in rope-like, twisted bundles and fibers by introducing gradients of both filament shape (i.e. curvature) and packing throughout the structure. Previous models of chiral…

Soft Condensed Matter · Physics 2016-12-08 Douglas M. Hall , Gregory M. Grason

We use continuum theory to show that chirality is a key thermodynamic control parameter for the aggregation of biopolymers: chirality produces a stable disperse phase of hexagonal bundles under moderately poor solvent conditions, as has…

Soft Condensed Matter · Physics 2009-11-13 Gregory M. Grason , Robijn F. Bruinsma

The propagation of chirality across scales is a common but poorly understood phenomenon in soft matter. In this work, we use computer simulations to study chiral monolayer assemblies formed by hard rod-like colloidal particles in the…

Soft Condensed Matter · Physics 2022-12-01 Yawei Liu , Jared A. Wood , Achille Giacometti , Asaph Widmer-Cooper

The transfer of chirality across length-scales is an intriguing and universal natural phenomenon. However, connecting the properties of individual building blocks to the emergent features of their resulting large-scale structure remains a…

Inspired by the complex influence of the globular crosslinking proteins on the formation of biofilament bundles in living organisms, we study and analyze a theoretical model for the structure and thermodynamics of bundles of helical…

Soft Condensed Matter · Physics 2012-01-19 Claus Heussinger , Gregory M. Grason

The efficient and controlled assembly of complex structures from macromolecular building blocks is a critical open question in both biological systems and nanoscience. Using molecular dynamics simulations we study the self-assembly of…

Soft Condensed Matter · Physics 2014-06-10 Shengfeng Cheng , Mark J. Stevens

Cohesive assemblies of filaments are a common structural motif found in diverse contexts, ranging from biological materials such as fibrous proteins, to artificial materials such as carbon nanotube ropes and micropatterned filament arrays.…

Soft Condensed Matter · Physics 2013-07-08 Isaac R. Bruss , Gregory M. Grason

Chirality transfer from the level of molecular structure up to mesoscopic lengthscales of supramolecular morphologies is a broad and persistent theme in self-assembled soft materials, from biological to synthetic matter. Here, we analyze…

Soft Condensed Matter · Physics 2023-08-08 Ishan Prasad , Abhiram Reddy , Gregory M. Grason

Bundles of filaments are subject to geometric frustration: certain deformations (e.g. bending while twisted) require longitudinal variations in spacing between filaments. While bundles are common -- from protein fibers to yarns -- the…

Soft Condensed Matter · Physics 2021-12-01 Daria W. Atkinson , Christian D. Santangelo , Gregory M. Grason

Twisted and rope-like assemblies of filamentous molecules are common and vital structural elements in cells and tissue of living organisms. We study the intrinsic frustration occurring in these materials between the two-dimensional…

Soft Condensed Matter · Physics 2015-06-03 Amir Azadi , Gregory M. Grason

We investigate the formation of helical multifilament bundles and the torque required to achieve them as a function of applied twist. Hyperelastic filaments with circular cross sections are mounted parallel in a uniform circle onto…

Soft Condensed Matter · Physics 2026-04-01 Amit Dawadi , Animesh Biswas , Julien Chopin , Arshad Kudrolli

We develop a formalism that describes the bending and twisting of axoneme-like filament bundles. We obtain general formulas to determine the relative sliding between any arbitrary filaments in a bundle subjected to unconstrained…

Cell Behavior · Quantitative Biology 2007-05-23 A. Ludu , N. Hutchings

Many biological and synthetic materials self-assemble into helical or twisted aggregates. The shape is determined by a complex interplay between elastic forces and the orientation and chirality of the constituent molecules. We study this…

Soft Condensed Matter · Physics 2007-05-23 Robin L. B. Selinger , Jonathan V. Selinger , Anthony P. Malanoski , Joel M. Schnur

Chirality plays a crucial role in determining the structure of many systems in nature. Twisted or helical aggregates as a consequence of self-assembly can be seen in many biological and synthetic materials. Despite extensive theoretical and…

Soft Condensed Matter · Physics 2026-05-27 Sayantan Mondal , Jayashree Saha

Twisted assemblies of filaments in ropes, cables and bundles are essential structural elements in wide use in macroscopic materials as well as within the cells and tissues of living organisms. We develop the unique, non-linear elastic…

Soft Condensed Matter · Physics 2015-05-18 Gregory M. Grason

Self-assembly is a ubiquitous process in synthetic and biological systems, broadly defined as the spontaneous organization of multiple subunits (e.g. macromolecules, particles) into ordered multi-unit structures. The vast majority of…

Soft Condensed Matter · Physics 2023-08-08 Michael F. Hagan , Gregory M. Grason

Although buckling is a prime route to achieve functionalization and synthesis of single colloids, buckling of colloidal structures---made up of multiple colloids---remains poorly studied. Here, we investigate the buckling of the simplest…

Soft Condensed Matter · Physics 2019-10-02 Simon Stuij , Jan Maarten van Doorn , Thomas Kodger , Joris Sprakel , Corentin Coulais , Peter Schall

We study theoretically the yielding of sheared amorphous materials as a function of increasing levels of initial sample annealing prior to shear, in three widely used constitutive models and three widely studied annealing protocols. In…

Soft Condensed Matter · Physics 2020-10-21 Hugh J. Barlow , James O. Cochran , Suzanne M. Fielding
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