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It has been claimed that quasistatic granular materials, as well as nanoscale materials, exhibit departures from elasticity even at small loadings. It is demonstrated, using 2D and 3D models with interparticle harmonic interactions, that…

Statistical Mechanics · Physics 2007-05-23 C. Goldenberg , I. Goldhirsch

This topic review communicates working experiences regarding interaction of a multiplicity of processes. Our experiences come from climate change modelling, materials science, cell physiology and public health, and macroeconomic modelling.…

General Economics · Economics 2020-02-07 Bernhelm Booss-Bavnbek , Rasmus Kristoffer Pedersen , Ulf Rørbæk Pedersen

We review the recent literature on the simulation of the structure and deformation of amorphous glasses, including oxide and metallic glasses. We consider simulations at different length and time scales. At the nanometer scale, we review…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 David Rodney , Anne Tanguy , Damien Vandembroucq

An elementary understanding of the relevant length, mass and energy scales at the molecular level can be used to explain the order of magnitude of material properties such as mass density, latent heat, surface tension, elastic moduli and…

Physics Education · Physics 2014-02-26 Andrew Lucas

We study the ground state thermodynamics of a model class of geometrically frustrated assemblies, known as {\it warped-jigsaw} particles. While it is known that frustration in soft matter assemblies has the ability to propagate up to…

Soft Condensed Matter · Physics 2025-02-10 Michael Wang , Gregory M. Grason

Topological frustration arises when boundary conditions impose geometric frustration in a quantum system, creating delocalized defects in the ground states and profoundly altering the low-energy properties. While previous studies have been…

The Hubbard model on the Kagom\'e lattice is investigated in a metallic phase at half-filling. By introducing anisotropic electron hopping on the lattice, we control geometrical frustration and clarify how the lattice geometry affects…

Strongly Correlated Electrons · Physics 2009-11-10 Yoshiki Imai , Norio Kawakami , Hirokazu Tsunetsugu

The article reviews recent developments in the theory of fluctuations and correlations of energy levels and eigenfunction amplitudes in diffusive mesoscopic samples. Various spatial geometries are considered, with emphasis on…

Disordered Systems and Neural Networks · Physics 2009-10-31 Alexander D. Mirlin

The electrostatic interaction between metal spheres is an influential component in the assembly of many nanoscale materials in chemistry. Here we derive a method to calculate the energy and polarizations of metal spheres in arbitrary…

Mesoscale and Nanoscale Physics · Physics 2010-10-15 Alexander Moore

The interplay between topology and energy-hierarchy plays a vital role in the collective magnetic order in artificial ferroic systems. Here we investigate, experimentally, the effect of having one or two activation energies of interacting…

Mesoscale and Nanoscale Physics · Physics 2021-12-02 Henry Stopfel , Unnar B. Arnalds , Aaron Stein , Thomas P. A. Hase , Björgvin Hjörvarsson , Vassilios Kapaklis

We investigate the thermodynamic, structural, and dynamic behavior of a three-dimensional coarse-grained ramp-shoulder fluid derived from effective interactions between polymer-grafted nanoparticles. The interaction combines a softened…

Soft Condensed Matter · Physics 2026-05-25 Murilo S. Marques , Lucas Axel R. Santana , Gabriel San R. R. Câmara , José Rafael Bordin

We generalize the predictions for attractions between over-all neutral surfaces induced by charge fluctuations/correlations to non-uniform systems that include dielectric discontinuities, as is the case for mixed charged lipid membranes in…

Soft Condensed Matter · Physics 2009-10-31 Rebecca Menes , Philip Pincus , Bean Stein

Dust-gas mixtures are the simplest example of a two fluid mixture. We show that when simulating such mixtures with particles or with particles coupled to grids a problem arises due to the need to resolve a very small length scale when the…

Instrumentation and Methods for Astrophysics · Physics 2015-01-09 Daniel Price , Guillaume Laibe

The performances of lubricated systems widely used in natural, biological, and artificial settings are traditionally dictated by their load bearing capacities. Here we unveil that, by exploiting a unique coupling between interfacial…

Fluid Dynamics · Physics 2022-07-26 Siddhartha Mukherjee , Jayabrata Dhar , Sunando DasGupta , Suman Chakraborty

Competition between interactions on different length scales leads to self-organized textures in classical as well as quantum systems. This pattern formation phenomenon has been invoked to explain some intriguing properties of a large…

Strongly Correlated Electrons · Physics 2008-10-09 C. Ortix , J. Lorenzana , C. Di Castro

The importance of mesoscale fluctuations in flowing amorphous materials is widely accepted, without a clear understanding of their role. We propose a mean-field elastoplastic model that admits both stress and strain-rate fluctuations, and…

Soft Condensed Matter · Physics 2022-05-09 Timothy Ekeh , Étienne Fodor , Suzanne M. Fielding , Michael E. Cates

Geometric frustration usually arises in systems that comprise magnetic moments (spins) which reside on the sites of a lattice made up of elementary triangular or tetrahedral units and which interact via antiferromagnetic nearest-neighbor…

Statistical Mechanics · Physics 2009-03-17 Michel J. P. Gingras

This paper analyzes the implications of simplified pipeline gas flow models for integrated energy system planning. A case study of an integrated power-hydrogen expansion planning problem shows that simplifying pressure-flow relationships…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Thomas Klatzer , Yannick Werner , Sonja Wogrin

We study novel electronic properties of the Hubbard model on a triangular lattice using the cellular dynamical mean-field theory. The interplay of strong geometric frustration and electron correlations causes a Mott transition at the…

Strongly Correlated Electrons · Physics 2009-11-11 Bumsoo Kyung

An approach is suggested for treating multiscale fluctuations in macromolecular systems. The emphasis is on the statistical properties of such fluctuations. The approach is illustrated by a macromolecular system with mesoscopic fluctuations…

Chemical Physics · Physics 2012-08-07 V. I. Yukalov , E. P. Yukalova