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Related papers: Size-Dependent Tile Self-Assembly: Constant-Height…

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In the framework of the suggested in [arxiv:1803.08247 [cond-mat.mtrl-sci]] statistical theory of the equilibrium flow stress, including yield strength, ${\sigma}_y$, of polycrystalline materials under quasi-static (in case of tensile…

Materials Science · Physics 2020-01-01 Alexander A. Reshetnyak

We study the growing time scales and length scales associated with dynamical slow down for a realistic glass former, using computer simulations. We perform finite size scaling to evaluate a length scale associated with dynamical…

Statistical Mechanics · Physics 2009-11-13 Smarajit Karmakar , Chandan Dasgupta , Srikanth Sastry

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

We consider an important class of self-assembly problems and using the formalism of stochastic thermodynamics, we derive a set of design principles for growing controlled assemblies far from equilibrium. The design principles constrain the…

Statistical Mechanics · Physics 2017-01-17 Michael Nguyen , Suriyanarayanan Vaikuntanathan

Boundary element methods provide powerful techniques for the analysis of problems involving coupled multi-physical response, especially in the linear case for which boundary-only formulations are possible. This paper presents the integral…

Classical Physics · Physics 2017-04-11 Ali R. Hadjesfandiari , Arezoo Hajesfandiari , Gary F. Dargush

We investigate general properties of non-deterministic self-assembly with asymmetric interactions, using a computational model and DNA tile assembly experiments. By contrasting symmetric and asymmetric interactions we show that the latter…

Soft Condensed Matter · Physics 2016-08-24 S. Tesoro , K. Göpfrich , T. Kartanas , U. F. Keyser , S. E. Ahnert

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…

Soft Condensed Matter · Physics 2015-06-29 Wen-Sheng Xu , Karl F. Freed

Theories of phase change and self-assembly often invoke the idea of a `quasiequilibrium', a regime in which the nonequilibrium association of building blocks results nonetheless in a structure whose properties are determined solely by an…

Statistical Mechanics · Physics 2013-07-22 Stephen Whitelam , Rebecca Schulman , Lester Hedges

Silicon self-assembly at step edges in the initial stage of homoepitaxial growth on a vicinal Si(111) surface is studied by scanning tunneling microscopy (STM). The resulting atomic structures change dramatically from a parallel array of…

Materials Science · Physics 2007-05-23 T. Sekiguchi , S. Yoshida , K. M. Itoh

There is evidence that the self-assembly of complex molecular systems often proceeds hierarchically, by first building subunits that later assemble in larger entities, in a process that can repeat multiple times. Yet, our understanding of…

Soft Condensed Matter · Physics 2025-09-15 Miranda Holmes-Cerfon , Matthieu Wyart

We study stochastic sandpile models with a height restriction in one and two dimensions. A site can topple if it has a height of two, as in Manna's model, but, in contrast to previously studied sandpiles, here the height (or number of…

Statistical Mechanics · Physics 2009-11-07 Ronald Dickman , Tania Tome , Mario J. de Oliveira

The dynamic melting of vortex lattices in type II superconductors is considered. A field-theoretic formulation of the pinning problem allows the average over the quenched disorder to be performed exactly. A self-consistent theory is…

Superconductivity · Physics 2007-05-23 Staffan Grundberg , Jørgen Rammer

According to the droplet picture of spin glasses, the low-temperature phase of spin glasses should be replica symmetric. However, analysis of the stability of this state suggested that it was unstable and this instability lends support to…

Disordered Systems and Neural Networks · Physics 2015-06-25 M. A. Moore

Enhancing the kinetic stability of glasses often necessitates deepening thermodynamic stability, which typically compromises ductility due to increased structural rigidity. Decoupling these properties remains a critical challenge for…

Materials Science · Physics 2025-12-24 Huanrong Liu , Qingan Li , Shan Zhang , Rui Su , Yunjiang Wang , Pengfei Guan

Strand displacement and tile assembly systems are designed to follow prescribed kinetic rules (i.e., exhibit a specific time-evolution). However, the expected behavior in the limit of infinite time--known as thermodynamic equilibrium--is…

Emerging Technologies · Computer Science 2017-09-26 David Doty , Trent A. Rogers , David Soloveichik , Chris Thachuk , Damien Woods

Self-assembly of colloidal nanocrystals (NCs) into superlattices (SLs) is an appealing strategy to design hierarchically organized materials with new functionalities. Mechanistic studies are still needed to uncover the design principles for…

We consider tiles of some fixed size, with an associated weighting on the shapes of tile, of total mass 1. We study the pressure, $p$, of tilings with those tiles; the pressure, one over the volume times the logarithm of the partition…

Mathematical Physics · Physics 2007-07-18 Paul Federbush

We show that the thermodynamic dislocation theory (TDT) predicts a scaling relation between stresses, strain rates, and temperatures for steady-state deformations of crystalline solids, and that this relation is accurately obeyed by a wide…

Materials Science · Physics 2020-12-30 J. S. Langer , K. C. Le

We use a swap Monte Carlo algorithm to numerically prepare bulk glasses with kinetic stability comparable to that of glass films produced experimentally by physical vapor deposition. By melting these systems into the liquid state, we show…

Soft Condensed Matter · Physics 2017-10-18 Christopher J. Fullerton , Ludovic Berthier

A detailed investigation of the temperature dependence of the spatial string tension $\sigma_s$ in $SU(2)$ gauge theory is presented. A sustained performance of 3~GFLOPS on a 64K Connection Machine CM-2 equivalent has been achieved. Scaling…

High Energy Physics - Lattice · Physics 2010-11-01 G. S. Bali , J. Fingberg , U. M. Heller , F. Karsch , K. Schilling