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In this work, we explore the effects of shear deformations in a wide class of holographic amorphous solids. It is found that both the shear stress and the complexity of formation grow with the increase of the shear strain. Notably, in the…

High Energy Physics - Theory · Physics 2025-02-20 Yuanceng Xu , Wei-Jia Li

Motivated by the formal argument that a non-zero shear modulus is the result of averaging over a constrained configurations space, we demonstrate that the shear modulus calculated over a range of temperatures and averaging times can be…

Soft Condensed Matter · Physics 2016-04-06 Shibu Saw , Peter Harrowell

Several networks occurring in real life have modular structures that are arranged in an hierarchical fashion. In this paper, we have proposed a model for such networks, using a stochastic generation method. Using this model we show that,…

Physics and Society · Physics 2009-03-12 Raj Kumar Pan , Sitabhra Sinha

In systems of diffusing particles, we investigate large deviations of a time-averaged measure of clustering around one particle. We focus on biased ensembles of trajectories, which realise large-deviation events. The bias acts on a single…

Statistical Mechanics · Physics 2021-06-02 Jakub Dolezal , Robert L. Jack

The scaling of the shear modulus near the gelation/vulcanization transition is explored heuristically and analytically. It is found that in a dense melt the effective chains of the infinite cluster have sizes that scale sub-linearly with…

Soft Condensed Matter · Physics 2009-11-10 Xiangjun Xing , Swagatam Mukhopadhyay , Paul M. Goldbart

The mechanical response of solids depends on temperature because the way atoms and molecules respond collectively to deformation is affected at various levels by thermal motion. This is a fundamental problem of solid state science and plays…

Soft Condensed Matter · Physics 2015-06-12 Alessio Zaccone , Eugene M. Terentjev

Elastic properties and internal states of isotropic sphere packings are studied by numerical simulations. Several numerical protocols to assemble dense configurations are compared. One, which imitates experiments with lubricated contacts,…

Materials Science · Physics 2009-01-16 Ivana Agnolin , Jean-Noël Roux

Assemblies of purely repulsive and frictionless particles, such as emulsions or hard spheres, display very curious properties near their jamming transition, which occurs at the random close packing for mono-disperse spheres. Although such…

Soft Condensed Matter · Physics 2014-11-19 Matthieu Wyart

Amorphous solids tend to present an abundance of soft elastic modes, which diminish their transport properties, generate heterogeneities in their elastic response, and affect non-linear processes like thermal activation of plasticity. This…

Soft Condensed Matter · Physics 2016-06-22 Le Yan , Eric DeGiuli , Matthieu Wyart

As modern engineering systems grow in complexity, attitudes toward a modular design approach become increasingly more favorable. A key challenge to a modular design approach is the certification of robust stability under uncertainties in…

Optimization and Control · Mathematics 2019-03-22 Soumya Kundu , Wei Du , Sai Pushpak Nandanoori , Frank Tuffner , Kevin Schneider

The large-scale properties of chemical reaction systems, such as the metabolism, can be studied with graph-based methods. To do this, one needs to reduce the information -- lists of chemical reactions -- available in databases. Even for the…

Molecular Networks · Quantitative Biology 2009-09-25 Petter Holme

To better understand the overlapping modular organization of large networks with respect to flow, here we introduce the map equation for overlapping modules. In this information-theoretic framework, we use the correspondence between…

Physics and Society · Physics 2012-02-03 Alcides Viamontes Esquivel , Martin Rosvall

We examine how disordering joint position influences the linear elastic behavior of lattice materials via numerical simulations in two-dimensional beam networks. Three distinct initial crystalline geometries are selected as representative…

Soft Condensed Matter · Physics 2022-08-31 Antoine Montiel , Thuy Nguyen , Cindy Rountree , Valérie Geertsen , Patrick Guenoun , Daniel Bonamy

The response to a localized force provides a sensitive test for different models of stress transmission in granular solids. The elasto-plastic models traditionally used by engineers have been challenged by theoretical and experimental…

Soft Condensed Matter · Physics 2009-11-13 C. Goldenberg , I. Goldhirsch

We derive expressions for the shear modulus of deeply-quenched, glassy solids, in terms of a Cauchy-Born free energy expansion around a rigid (quenched) reference state, following the approach due to Alexander [Alexander, Phys. Rep. 296,…

Soft Condensed Matter · Physics 2015-05-13 Alessio Zaccone

This work targets the influence of disorder on the relaxed structure and macroscopic mechanical properties of elastic networks. We construct network classes of different types of disorder (length, topology and stiffness), which are…

Soft Condensed Matter · Physics 2025-08-29 Stefanie Heyden , Mohit Pundir , Eric R. Dufresne , David S. Kammer

Self-assembled structures are possible solutions to the problem of increasing the density and connectivity of memristive units in massive arrays. Although they would allow surpassing the limit imposed by the lithographic feature size, the…

Materials Science · Physics 2024-01-18 G. A. Sanca , F. Di Francesco , F. Golmar , C. Quinteros

For small tension the response of a solid to an applied stress is given by Hooke's law. Outside this linear regime the relation between stress and strain is no longer universal and at present there is no satisfactory insight on how to…

Disordered Systems and Neural Networks · Physics 2023-02-15 Zhen Zhang , Simona Ispas , Walter Kob

Simple nonlinear dynamical systems with multiple stable stationary states are often taken as models for switchlike biological systems. This paper considers the interaction of multiple such simple multistable systems when they are embedded…

Quantitative Methods · Quantitative Biology 2008-04-10 Dennis Cates Wylie

The dynamic-mechanical response of flexible polymer networks is studied in the framework of tube model, in the limit of small affine deformations, using the approach based on Rayleighian dissipation function. The dynamic complex modulus G*…

Soft Condensed Matter · Physics 2009-10-31 S. F. Edwards , H. Takano , E. M. Terentjev