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Most of the current understanding of structure-property relations at the molecular and the supramolecular scales can be formulated in terms of the stability of and the interactions between a limited number of recurring structural motifs…

Chemical Physics · Physics 2018-01-29 Piero Gasparotto , Robert Horst Meißner , Michele Ceriotti

The dense packing of interacting particles on spheres has proved to be a useful model for virus capsids and colloidosomes. Indeed, icosahedral symmetry observed in virus capsids corresponds to potential energy minima that occur for magic…

Soft Condensed Matter · Physics 2017-03-03 Stefan Paquay , Halim Kusumaatmaja , David J. Wales , Roya Zandi , Paul van der Schoot

The formation of colloidal gels is strongly dependent on the volume fraction of the system and the strength of the interactions between the colloids. Here we explore very dilute solutions by the means of numerical simulations, and show…

Soft Condensed Matter · Physics 2017-09-13 Samuel Griffiths , Francesco Turci , C. Patrick Royall

We announce various results concerning the structure of compactly generated simple locally compact groups. We introduce a local invariant, called the structure lattice, which consists of commensurability classes of compact subgroups with…

Group Theory · Mathematics 2014-05-15 Pierre-Emmanuel Caprace , Colin D. Reid , George A. Willis

We use the isoconfigurational (IC) ensemble to show the connection between emerging heterogeneities in the tetrahedral order parameter and the dynamic propensity in a mildly undercooled glass-forming liquid. We observe that spatially…

Soft Condensed Matter · Physics 2021-01-18 M Shajahan G Razul , Gurpreet S Matharoo , Balakrishnan Viswanathan

Elucidating the atomic structure of liquid and glass is one of the important open questions in condensed matter physics. In the conventional bottom-up approach one starts with focusing on an atom and the short-range order of its neighboring…

Disordered Systems and Neural Networks · Physics 2022-11-16 Takeshi Egami , Chae Woo Ryu

The present work demonstrates a robust protocol for probing localized electronic structure in condensed-phase systems, operating in terms of a recently proposed theory for decomposing the results of Kohn-Sham density functional theory in a…

Chemical Physics · Physics 2021-06-29 Janus J. Eriksen

A simple three-dimensional model of a fluid whose constituent particles interact via a short range attractive and long range repulsive potential is used to model the aggregation into large spherical-like clusters made up of hundreds of…

Soft Condensed Matter · Physics 2025-02-11 Antonio Díaz-Pozuelo , Diego González-Salgado , Enrique Lomba

We model an isothermal aggregation process of particles/atoms interacting according to the Lennard-Jones pair potential by mapping the energy landscapes of each cluster size $N$ onto stochastic networks, computing transition probabilities…

Statistical Mechanics · Physics 2017-06-07 Yakir Forman , Maria Cameron

We revisit the role of attractions in liquids and apply these concepts to colloidal suspensions. Two means are used to investigate the structure; the pair correlation function and a recently developed topological method. The latter…

Soft Condensed Matter · Physics 2011-01-11 Jade Taffs , Alex Malins , Stephen R. Williams , C. Patrick Royall

Using state-of-the-art rare-event sampling simulations, we precisely characterize the nucleation of liquid droplets from a supersaturated Lennard-Jones gas and uncover a key physical feature: critical clusters nucleate with a density that…

Chemical Physics · Physics 2026-01-07 Yijian Wu , Thomas Philippe , Aymane Graini , Julien Lam

We formulate a straightforward scheme of statistical mechanics for inhomogeneous systems that includes the virial series in powers of the activity for the grand free energy and density distributions. There, cluster integrals formulated for…

Soft Condensed Matter · Physics 2016-05-25 Ignacio Urrutia , Iván Paganini

Using molecular dynamics simulations, with a realistic many-body embedded-atom potential, and a novel method to characterize local order, we study the structure of pure nickel during the rapid quench of the liquid and in the resulting…

Disordered Systems and Neural Networks · Physics 2016-08-15 Oscar Rodríguez de la Fuente , José M. Soler

In this paper we analyze a two-dimensional discrete model of nearest-neighbour Lennard-Jones interactions under the microscopical constraint that points on a lattice triangle maintain their order. This can be understood as a microscopical…

Mathematical Physics · Physics 2016-08-24 Andrea Braides , Maria Stella Gelli

Combining the recent Piskulich-Thompson approach [Z. A. Piskulich and W. H. Thompson, {\it J. Chem. Phys.} {\bf 152}, 011102 (2020)] with isomorph theory, from a single simulation, the structure of a single-component Lennard-Jones (LJ)…

Soft Condensed Matter · Physics 2021-01-20 Shibu Saw , Jeppe C. Dyre

We give an example of a relation between local and effective properties for elastic structures, up to geometric constants. The model considered is a periodic structure with isotropic and homogeneous local elasticity tensor in planar linear…

Analysis of PDEs · Mathematics 2015-07-23 Dag Lukkassen , Annette Meidell , Klas Pettersson

We present a new theoretical framework for modelling the cluster growing process. Starting from the initial tetrahedral cluster configuration, adding new atoms to the system and absorbing its energy at each step, we find cluster growing…

Atomic and Molecular Clusters · Physics 2007-05-23 A. Koshelev , A. Shutovich , Il. A. Solov'yov , A. V. Solov'yov , W. Greiner

Unit-vector fields $\nvec$ on a convex polyhedron $P$ subject to tangent boundary conditions provide a simple model of nematic liquid crystals in prototype bistable displays. The equilibrium and metastable configurations correspond to…

Mathematical Physics · Physics 2009-05-12 A Majumdar , JM Robbins , M Zyskin

The present work presents a density-functional microscopic model of soft biological tissue. The model was based on a prototype molecular structure from experimentally resolved collagen peptide residues and water clusters and has the…

Soft Condensed Matter · Physics 2014-04-15 E. T. Sato , A. R. Rocha , L. F. C. S. Carvalho , J. D. Almeida , H. Martinho

We study the relationship between local structural ordering and dynamical heterogeneities in a model glass-forming liquid, the Wahnstrom mixture. A novel cluster-based approach is used to detect local energy minimum polyhedral clusters and…

Soft Condensed Matter · Physics 2013-02-26 Alex Malins , Jens Eggers , C. Patrick Royall , Stephen R. Williams , Hajime Tanaka
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