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This paper proposes a higher-order multiscale computational method for nonlinear thermo-electric coupling problems of composite structures, which possess temperature-dependent material properties and nonlinear Joule heating. The innovative…

Numerical Analysis · Mathematics 2025-01-24 Hao Dong , Zongze Yang , Yufeng Nie

Since its introduction by Erik Winfree in 1998, the abstract Tile Assembly Model (aTAM) has inspired a wealth of research. As an abstract model for tile based self-assembly, it has proven to be remarkably powerful and expressive in terms of…

Mathematical Software · Computer Science 2015-03-18 Matthew J. Patitz

The Cooperative Motion Algorithm is an efficient lattice method to simulate dense polymer systems and is often used with two different criteria to generate a Markov chain in the configuration space. While the first method is the…

Statistical Mechanics · Physics 2016-11-18 Piotr Knychala , Michal Banaszak

Self-assembly of nanoparticles is an important tool in nanotechnology, with numerous applications including thin films, electronics, and drug delivery. We study the deposition of ionic nanoparticles on a glass substrate both experimentally…

Statistical Mechanics · Physics 2014-07-09 L. Jonathan Cook , D. A. Mazilu , I. Mazilu , B. M. Simpson , E. M. Schwen , V. O. Kim , A. M. Seredinski

In this paper, we study a hyperbolic-parabolic coupled system arising in nonlinear three-dimensional thermoelasticity. We establish the global well-posedness and asymptotic behavior of solutions. Our main result shows that, a thermoelastic…

Analysis of PDEs · Mathematics 2026-03-11 Chuang Ma , Bin Guo

We use computer simulations to study a model, first proposed by Wales [1], for the reversible and monodisperse self-assembly of simple icosahedral virus capsid structures. The success and efficiency of assembly as a function of…

Biomolecules · Quantitative Biology 2010-02-24 Iain G. Johnston , Ard A. Louis , Jonathan P. K. Doye

We demonstrate a simple method by which time-dependent interactions can be exploited to improve self-assembly in colloidal systems. We apply this method to two systems: a model colloid with short-ranged attractive potentials that undergoes…

Soft Condensed Matter · Physics 2017-09-13 Christopher J. Fullerton , Robert L. Jack

Multilevel self-assembly involving small structured groups of nano-particles provides new routes to development of functional materials with a sophisticated architecture. Apart from the inter-particle forces, the geometrical shapes and…

Physics and Society · Physics 2017-11-15 Milovan Suvakov , Miroslav Andjelkovic , Bosiljka Tadic

Multiple dissipative self-assembly protocols designed to create novel structures or to reduce kinetic traps have recently emerged. Specifically, temporal oscillations of particle interactions have been shown effective at both aims, but…

Soft Condensed Matter · Physics 2024-10-25 Jessica K. Niblo , Jacob R. Swartley , Zhongmin Zhang , Kateri H. DuBay

Recent advances enable the creation of nanoscale building blocks with complex geometries and interaction specificities for self-assembly. This nearly boundless design space necessitates design principles for defining the mutual interactions…

Soft Condensed Matter · Physics 2024-03-29 Daichi Hayakawa , Thomas E. Videbæk , Gregory M. Grason , W. Benjamin Rogers

We prove that an effective temperature naturally emerges from the algorithmic structure of a regular universal Turing machine (UTM), without introducing any external physical parameter. In particular, the redundancy growth of the machine's…

Statistical Mechanics · Physics 2025-10-17 Kentaro Imafuku

A major goal in nanoscience and nanotechnology is the self-assembly of any desired complex structure with a system of particles interacting through simple potentials. To achieve this objective, intense experimental and theoretical efforts…

Soft Condensed Matter · Physics 2014-09-11 Daniel Salgado-Blanco , Carlos I. Mendoza

Assembly of multi-part physical structures is both a valuable end product for autonomous robotics, as well as a valuable diagnostic task for open-ended training of embodied intelligent agents. We introduce a naturalistic physics-based…

With exquisite precision and reproducibility, cells orchestrate the cooperative action of thousands of nanometer-sized molecular motors to carry out mechanical tasks at much larger length scales, such as cell motility, division and…

Soft Condensed Matter · Physics 2013-01-08 Tim Sanchez , Daniel T. N. Chen , Stephen J. DeCamp , Michael Heymann , Zvonimir Dogic

The evolution of multicellular organisms from monocellular ancestors represents one of the greatest advances of the history of life. The assembly of such multicellular organisms requires signalling and response between cells: over millions…

Cell Behavior · Quantitative Biology 2007-05-23 Graeme J. Ackland , Richard D. L. Hanes , Morrel H. Cohen

We discuss the efficiency of the so-called parallel tempering method to equilibrate glassy systems also at low temperatures. The main focus is on two structural glass models, SiO_2 and a Lennard-Jones system, but we also investigate a fully…

Statistical Mechanics · Physics 2007-05-23 Walter Kob , Claudio Brangian , Torsten Stuhn , Ryoichi Yamamoto

Swarms of self-propelled particles exhibit complex behavior that can arise from simple models, with large changes in swarm behavior resulting from small changes in model parameters. We investigate the steady-state swarms formed by…

Soft Condensed Matter · Physics 2015-06-03 Nguyen HP Nguyen , Eric Jankowski , Sharon C. Glotzer

Social insects in nature such as ants, termites and bees construct their colonies collaboratively in a very efficient process. In these swarms, each insect contributes to the construction task individually showing redundant and parallel…

Robotics · Computer Science 2021-06-21 Teshan Liyanage , Subha Fernando

In geometrically frustrated assemblies, equilibrium self-limitation manifests in the form of a minimum in the free energy per subunit at a finite, multi-subunit size which results from the competition between the elastic costs of…

Soft Condensed Matter · Physics 2023-08-15 Michael Wang , Gregory Grason

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