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Understanding protein self-assembly is important for many biological and industrial processes. Proteins can self-assemble into crystals, filaments, gels, and other amorphous aggregates. The final forms include virus capsids and condensed…

Soft Condensed Matter · Physics 2016-04-15 Jennifer J. McManus , Patrick Charbonneau , Emanuela Zaccarelli , Neer Asherie

This paper presents an in-depth analysis of the anatomy of both thermodynamics and statistical mechanics, together with the relationships between their constituent parts. Based on this analysis, using the renormalization group and…

Statistical Mechanics · Physics 2023-02-22 David A. Lavis , Reimer Kuehn , Roman Frigg

The self-assembly of molecules at surfaces can be caused by a range of physical mechanisms. Assembly can be driven by intermolecular forces, or molecule-surface forces, or both; it can result in structures that are in equilibrium or that…

Statistical Mechanics · Physics 2016-03-22 Stephen Whitelam

The cytoplasm is a heterogeneous mixture containing many types of proteins that self-assemble into a wide variety of complexes. The accuracy and speed of cytoplasmic self-assembly is astonishing because it involves the correct…

Statistical Mechanics · Physics 2025-11-21 Félix Benoist , Pablo Sartori

In this paper we generalize a methodology [T. E. Ouldridge, A. A. Louis, and J. P. K. Doye, J. Phys.: Condens. Matter {\bf 22}, 104102 (2010)] for dealing with the inference of bulk properties from small simulations of self-assembling…

Soft Condensed Matter · Physics 2015-07-13 Thomas E. Ouldridge

Protein aggregation in the form of amyloid fibrils has important biological and technological implications. Although the self-assembly process is highly efficient, aggregates not in the fibrillar form would also occur and it is important to…

Soft Condensed Matter · Physics 2010-01-20 Chiu Fan Lee

Biological systems exploit self-assembly to create complex structures whose arrangements are finely controlled from molecular to mesoscopic level. Herein we report an example of using fully synthetic systems that mimic two levels of…

Many remarkably robust, rapid and spontaneous self-assembly phenomena in nature can be modeled geometrically starting from a collection of rigid bunches of spheres. This paper highlights the role of symmetry in sphere-based assembly…

Combinatorics · Mathematics 2016-03-15 Meera Sitharam , Andrew Vince , Menghan Wang , Miklos Bona

Self-assembly is a process which is ubiquitous in natural, especially biological systems. It occurs when groups of relatively simple components spontaneously combine to form more complex structures. While such systems have inspired a large…

Computational Geometry · Computer Science 2018-07-19 Jerome Durand-Lose , Jacob Hendricks , Matthew J. Patitz , Ian Perkins , Michael Sharp

Understanding how highly symmetric, robust, monodisperse protein cages self-assemble can have major applications in various areas of bio-nanotechnology, such as drug delivery, biomedical imaging and gene therapy. We develop a model to…

Soft Condensed Matter · Physics 2018-09-11 Sanaz Panahandeh , Siyu Li , Roya Zandi

Controlling the topology of structures self-assembled from a set of heterogeneous building blocks is highly desirable for many applications, but is poorly understood theoretically. Here we show that the thermodynamic theory of self-assembly…

Soft Condensed Matter · Physics 2021-03-04 Andrei A. Klishin , Michael P. Brenner

The approach of nonequilibrium evolution thermodynamics earlier offered is developed. It helps to describe the processes of defect formation within the adiabatic approximation. The basic equations system depends on the initial defects…

Materials Science · Physics 2015-10-23 A. V. Khomenko , D. S. Troshchenko , L. S. Metlov

Self-assembly is traditionally described as the process through which an initially disordered system relaxes towards an equilibrium ordered phase only driven by local interactions between its building blocks. However, This definition is too…

Soft Condensed Matter · Physics 2015-06-15 Lorenzo Di Michele , Francesco Varrato , Jurij Kotar , Simon H. Nathan , Giuseppe Foffi , Erika Eiser

We use computer simulations to investigate self-assembly in a system of model chaperonin proteins, and in an Ising lattice gas. We discuss the mechanisms responsible for rapid and efficient assembly in these systems, and we use measurements…

Soft Condensed Matter · Physics 2011-12-09 James Grant , Robert L. Jack , Stephen Whitelam

A series of simulations aimed at elucidating the self-assembly dynamics of spherical virus capsids is described. This little-understood phenomenon is a fascinating example of the complex processes that occur in the simplest of organisms.…

Soft Condensed Matter · Physics 2015-05-19 D. C. Rapaport

Self-organization is the autonomous assembly of a network of interacting components into a stable, organized pattern. This article shows that the process of self-assembly can be encoded in terms of evolutionary entropy, a statistical…

Statistical Mechanics · Physics 2023-05-29 Lloyd A. Demetrius

In equilibrium self-assembly, microscopic building blocks spontaneously self-organize into stable structures as dictated by their interaction potentials, which limits the accessible structural features to those that correspond to global…

Soft Condensed Matter · Physics 2026-04-17 Pepijn G. Moerman , Chenghung Chou , Thomas E. Videbæk , W. Benjamin Rogers , Rebecca Schulman

Self-limiting assembly of particles represents the state-of-the-art controllability in nanomanufacturing processes where the assembly stops at a designated stage1,2, providing a desirable platform for applications requiring delicate…

Atomic and Molecular Clusters · Physics 2021-11-02 Liang Zhao , Bchara Sidnawi , Jichao Fan , Ruiyang Chen , Thomas Scully , Scott Dietrich , Weilu Gao , Qianhong Wu , Bo Li

We introduce a new property of tile self-assembly systems that we call size-separability. A system is size-separable if every terminal assembly is a constant factor larger than any intermediate assembly. Size-separability is motivated by…

Computational Geometry · Computer Science 2014-04-30 Andrew Winslow

We propose in this paper a generic model of a non-standard aggregation mechanism for self-assembly processes of a class of materials involving the mediation of intermediates consisting of a polydisperse population of nano-sized particles.…