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A particle subject to successive, random displacements is said to execute a random walk (in position or some other coordinate). The mathematical properties of random walks have been very thoroughly investigated, and the model is used in…

Statistical Mechanics · Physics 2007-05-23 M. Wilkinson , B. Mehlig

Experiments have reached a monumental capacity for designing and synthesizing microscopic particles for self-assembly, making it possible to precisely control particle concentrations, shapes, and interactions. However, more physical insight…

Soft Condensed Matter · Physics 2026-02-19 Maximilian C. Hübl , Thomas E. Videbæk , Daichi Hayakawa , W. Benjamin Rogers , Carl P. Goodrich

Self-assembly in the laboratory can now yield `information-rich' nanostructures in which each component is of a distinct type and has a defined spatial position. Ensuring the thermodynamic stability of such structures requires…

Biological Physics · Physics 2016-03-22 Stephen Whitelam

We introduce a simple "patchy particle" model to study the thermodynamics and dynamics of self-assembly of homomeric protein complexes. Our calculations allow us to rationalize recent results for dihedral complexes. Namely, why evolution of…

A system far from equilibrium is characterized by unconventional many-body dynamical effects, which can lead to anomalous density fluctuations and mass transport. Interestingly, these structural and dynamic features often emerge…

Statistical Mechanics · Physics 2010-03-09 David A. Head , Hajime Tanaka

Dissipative self-assembly is a recently proposed concept in the field of non-equilibrium systems. This concept catches the reader's attention owing to its relationship with life phenomena. Recently, Credi's group has reported the behavior…

Chemical Physics · Physics 2022-12-01 Yoshiyuki Kageyama , Goro Maruta

Nonlinear plastic modes (NPMs) are collective displacements that are indicative of imminent plastic instabilities in elastic solids. In this work we formulate the atomistic theory that describes the reversible evolution of NPMs and their…

Soft Condensed Matter · Physics 2016-06-22 Edan Lerner

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

The self-assembly of polymer grafted nanoparticles is more and more used in the field of functional materials. However, there is still a lack of analysis on the dynamic transformation paths of different self-assembly morphologies, which…

Soft Condensed Matter · Physics 2026-02-09 Guoqing Meng , Liyuan Chen , Sihang Guo , Junxing Pan , Yingying Wang , Jinjun Zhang

One emerging approach for the fabrication of complex architectures on the nanoscale is to utilize particles customized to intrinsically self-assemble into a desired structure. Inverse methods of statistical mechanics have proven…

Materials Science · Physics 2017-09-08 R. B. Jadrich , B. A. Lindquist , T. M. Truskett

We introduce three stochastic cooperative models for particle deposition and evaporation relevant to ionic self-assembly of nanoparticles with applications in surface fabrication and nanomedicine. We present a method for mapping a…

Chemical Physics · Physics 2015-06-08 E. M. Schwen

Self-assembly is one of the prevalent strategies used by living systems to fabricate ensembles of precision nanometer-scale structures and devices. The push for analogous approaches to create synthetic nanomaterials has led to the…

Molecular building blocks interacting at the nanoscale organize spontaneously into stable mono- layers that display intriguing long-range ordering motifs on the surface of atomic substrates. The patterning process, if appropriately…

Mesoscale and Nanoscale Physics · Physics 2011-02-18 Marta Balbás Gambra , Carsten Rohr , Kathrin Gruber , Bianca Hermann , Thomas Franosch

Recently, light-assisted nanofabrication have been introduced, such as the synthesis of quantum dots using photo-induced desorption that yields reduced size fluctuations, or metal sputtering under light illumination resulting in…

Mesoscale and Nanoscale Physics · Physics 2013-04-22 Makoto Naruse , Yang Liu , Wataru Nomura , Takashi Yatsui , Masaki Aida , Laszlo B. Kish , Motoichi Ohtsu

Moving nanoparticles/atoms to study the nearfield interaction between them is one of the many approaches to explore the optical and electrical properties of these assemblies. Traditional approach included the self assembly by spinning or…

Mesoscale and Nanoscale Physics · Physics 2015-01-09 Farbod Shafiei

Self-assembly is a phenomenon observed in nature at all scales where autonomous entities build complex structures, without external influences nor centralised master plan. Modelling such entities and programming correct interactions among…

Computational Complexity · Computer Science 2013-09-26 German Terrazas , Hector Zenil , Natalio Krasnogor

Stochastic dynamical systems arise naturally across nearly all areas of science and engineering. Typically, a dynamical system model is based on some prior knowledge about the underlying dynamics of interest in which probabilistic features…

Computational Engineering, Finance, and Science · Computer Science 2021-09-03 Chao Yin , Xihaier Luo , Ahsan Kareem

We study analytically the emergence of spontaneous collective motion within large bidimensional groups of self-propelled particles with noisy local interactions, a schematic model for assemblies of biological organisms. As a central result,…

Statistical Mechanics · Physics 2009-11-11 Eric Bertin , Michel Droz , Guillaume Gregoire

Large protein complexes are assembled from protein subunits to form a specific structure. In our theoretic work, we propose that assembly into the correct structure could be reliably achieved through an assembly line with a specific…

Biological Physics · Physics 2022-03-23 Tyler S. Harmon , Frank Jülicher

A key overall goal of biomolecular simulations is the characterization of "mechanism" -- the pathways through configuration space of processes such as conformational transitions and binding. Some amount of heterogeneity is intrinsic to the…

Chemical Physics · Physics 2018-10-25 Ernesto Suárez , Daniel M. Zuckerman
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