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In self-assembling systems, geometric frustration leads to complex states characterized by internal gradients of shape misfit. Frustrated assemblies have drawn recent interest due to the unique possibility that their thermodynamics can…

软凝聚态物质 · 物理学 2023-08-08 Nicholas W. Hackney , Christopher Amey , Gregory M. Grason

Geometric frustration offers a pathway to soft matter self-assembly with controllable finite sizes. While the understanding of frustration in soft matter assembly derives almost exclusively from continuum elastic descriptions, a current…

软凝聚态物质 · 物理学 2023-08-08 Douglas M. Hall , Mark J. Stevens , Gregory M. Grason

We use computational modeling to investigate the assembly thermodynamics of a particle-based model for geometrically frustrated assembly, in which the local packing geometry of subunits is incompatible with uniform, strain-free large-scale…

软凝聚态物质 · 物理学 2021-09-06 Botond Tyukodi , Farzaneh Mohajerani , Douglas M. Hall , Gregory M. Grason , Michael F. Hagan

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…

软凝聚态物质 · 物理学 2023-08-08 Michael F. Hagan , Gregory M. Grason

Geometric frustration is recognized to generate complex morphologies in self-assembling particulate and molecular systems. In bulk states, frustrated drives structured arrays of topological defects. In the dilute limit, these systems have…

软凝聚态物质 · 物理学 2025-09-01 Nicholas Hackney , Gregory Grason

This perspective will overview an emerging paradigm for self-organized soft materials, {\it geometrically-frustrated assemblies}, where interactions between self-assembling elements (e.g. particles, macromolecules, proteins) favor local…

软凝聚态物质 · 物理学 2016-09-20 Gregory M. Grason

We show that geometric frustration in a broad class of deformable and naturally curved, shell-like colloidal particles gives rise to self-limiting assembly of finite-sized stacks that far exceed particle dimensions. When inter-particle…

软凝聚态物质 · 物理学 2023-08-08 Nabila Tanjeem , Douglas M. Hall , Montana B. Minnis , Ryan C. Hayward , Gregory M. Grason

Geometric frustration arises whenever the constituents of a physical assembly locally favor an arrangement that cannot be realized globally. Recently, such frustrated assemblies were shown to exhibit filamentation, size limitation, large…

软凝聚态物质 · 物理学 2021-12-15 Snir Meiri , Efi Efrati

We study the ground state thermodynamics of a model class of geometrically frustrated assemblies, known as {\it warped-jigsaw} particles. While it is known that frustration in soft matter assemblies has the ability to propagate up to…

软凝聚态物质 · 物理学 2025-02-10 Michael Wang , Gregory M. Grason

In geometrically frustrated assemblies local inter-subunit misfits propagate to intra-assembly strain gradients, giving rise to anomalous self-limiting assembly thermodynamics. Here, we use theory and coarse-grained simulation to study a…

软凝聚态物质 · 物理学 2024-03-05 Kyle T. Sullivan , Ryan C. Hayward , Gregory M. Grason

Geometrically frustrated assembly has emerged as an attractive paradigm for understanding and engineering assemblies with self-limiting, finite equilibrium dimensions. We propose and study a novel 2D particle based on a so-called "warped…

软凝聚态物质 · 物理学 2023-08-08 Isaac R. Spivack , Douglas M. Hall , Gregory M. Grason

Non-equilibrium assembly, driven by fluxes controllable by continuous external energy inputs, enables dynamic and reconfigurable structures. Such controlled 3D assembly is desired for the design of adaptive materials that exploit…

软凝聚态物质 · 物理学 2024-12-17 Desmond J. Quinn , Diptabrata Paul , Frank Cichos

The impact of confinement on self-assembly of particles interacting with short-range attraction and long-range repulsion (SALR) potential is studied for thermodynamic states corresponding to local ordering of clusters or layers in the bulk.…

软凝聚态物质 · 物理学 2014-11-17 Jakub Pękalski , Alina Ciach , Noé G. Almarza

Semiflexible polymers are ubiquitous in natural and artificial systems, where their intermediate rigidity gives rise to rich structural and dynamical behavior. Confinement plays a central role in these behaviors, as spatial restrictions can…

软凝聚态物质 · 物理学 2026-03-31 Nasir Amiri , Jonathan P. Singer , Xin Yong

We study the self-assembly behaviour of patchy particles with `protein-like' interactions that can be considered as a minimal model for the assembly of viral capsids and other shell-like protein complexes. We thoroughly explore the…

软凝聚态物质 · 物理学 2010-01-21 Alex W. Wilber , Jonathan P. K. Doye , Ard A. Louis , Anna C. F. Lewis

The self-assembly of particles into organized structures is a key feature of living organisms and a major engineering challenge. While it may proceed through the binding of perfectly matched, puzzle-pieces-like particles, many other…

软凝聚态物质 · 物理学 2024-04-08 Hugo Le Roy , M. Mert Terzi , Martin lenz

Geometrically frustrated assemblies where building blocks misfit have been shown to generate intriguing phenomena from self-limited growth, fiber formation, to structural complexity. We introduce a graph theory formulation of geometrically…

软凝聚态物质 · 物理学 2024-07-26 José M. Ortiz-Tavárez , Zhen Yang , Nicholas Kotov , Xiaoming Mao

Cellular functions are established through biological evolution, but are constrained by the laws of physics. For instance, the physics of protein folding limits the lengths of cellular polypeptide chains. Consequently, many cellular…

生物物理 · 物理学 2019-07-09 Pablo Sartori , Stanislas Leibler

In the self-assembly process which drives the formation of cellular membranes, micelles, and capsids, a collection of separated subunits spontaneously binds together to form functional and more ordered structures. In this work, we study the…

生物物理 · 物理学 2021-05-04 Mobolaji Williams

The lattice cluster theory (LCT) for semiflexible linear telechelic melts, developed in paper I, is applied to examine the influence of chain stiffness on the average degree of self-assembly and the basic thermodynamic properties of linear…

软凝聚态物质 · 物理学 2015-06-29 Wen-Sheng Xu , Karl F. Freed
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