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Disorder and homogeneity are two concepts that refer to spatial variation of the system potential. In condensed-matter systems disorder is typically divided into two types; those with local parameters varying from site to site (diagonal…

Disordered Systems and Neural Networks · Physics 2022-11-14 Z. Ovadyahu

Many 'interesting; correlated electron materials exhibit an unusual sensitivity of measured properties to external perturbations, and in particular to imperfections in the sample being measured. It is argued that in addition to its…

Strongly Correlated Electrons · Physics 2009-11-10 A. J. Millis

Differential shrinkage in particulate quasi-brittle materials causes microcracking which reduces durability in these materials by increasing their mass transport properties. A hydro-mechanical three-dimensional periodic network approach was…

Materials Science · Physics 2017-10-13 Ignatios Athanasiadis , Simon J. Wheeler , Peter Grassl

New aspects of a relation between lattice and dislocation structures are examined within a physically transparent theoretical scheme. Predicted features originating from the lattice discreteness include: (i) multiple core dislocation…

Materials Science · Physics 2007-05-23 Oleg N. Mryasov , Yu. N. Gornostyrev , A. J. Freeman

Diffusion can be conceptualized, at microscopic scales, as the random hopping of particles between neighboring lattice sites. In the case of diffusion in inhomogeneous media, distinct spatial domains in the system may yield distinct…

Biological Physics · Physics 2017-10-02 Yiwei Li , Osman Kahraman , Christoph A. Haselwandter

This study explores the role that the microstructure plays in determining the macroscopic static response of porous elastic continua and exposes the occurrence of position-dependent nonlocal effects that are strictly correlated to the…

Materials Science · Physics 2022-09-30 Sansit Patnaik , Mehdi Jokar , Wei Ding , Fabio Semperlotti

Spatially confined rigid membranes reorganize their morphology in response to the imposed constraints. A crumpled elastic sheet presents a complex pattern of random folds focusing the deformation energy while compressing a membrane resting…

Dislocations are line defects in crystalline solids and often exert a significant influence on the mechanical properties of metals. Recently, there has been a growing interest in using dislocations in ceramics to enhance materials…

Materials Science · Physics 2025-10-28 Haoxuan Wang , Yifan Wang , Xu Liang , Wenshan Yu , Xufei Fang , Shengping Shen

In a porous rock, the spatial distribution of the pore space induces a strong heterogeneity in fluid flow rates and in the stress distribution in the rock mass. If the rock microstructure evolves through time, for example by dissolution,…

Geophysics · Physics 2019-02-27 Gaute Linga , Joachim Mathiesen , François Renard

During plastic deformation, metals change shape while continuously becoming stronger. The microscopic origin of these processes lies in the proliferation and movement of line defects, dislocations, and the subsequent self-organisation and…

Chromonic liquid crystals (CLCs) are lyotropic materials which are attracting growing interest for their adaptability to living systems. A considerable body of works has been devoted to exploring their properties and applications. In this…

Soft Condensed Matter · Physics 2025-09-04 Silvia Paparini

Questions regarding energy dissipation in astrophysical jets are open to date, despite of numerous attempts to limit the diversity of models. Some of the most popular models assume that energy is transferred to particles via internal…

High Energy Astrophysical Phenomena · Physics 2023-04-24 Patryk Pjanka , Camilia Demidem , Alexandra Veledina

Two approaches to incorporate heterogeneity in discrete models are compared. In the first, standard approach, the heterogeneity is dictated by geometrical structure of the discrete system. In the second approach, the heterogeneity is…

Computational Engineering, Finance, and Science · Computer Science 2025-06-26 Jan Raisinger , Qiwei Zhang , John E. Bolander , Jan Eliáš

It is argued that topological disorder in amorphous solids can be described by local strains related to local reference crystals and local rotations. An intuitive localization criterion is formulated from this point of view. The Inverse…

Disordered Systems and Neural Networks · Physics 2009-11-13 M. -L. Zhang , Y. Pan , F. Inam , D. A. Drabold

Recent progress in approaches to determine the elastic constants of solids starting from the microscopic particle interactions is reviewed. On the theoretical side, density functional theory approaches are discussed and compared to more…

Statistical Mechanics · Physics 2013-01-07 Matthias Fuchs

Disorder is more the rule than the exception in natural and synthetic materials. Nonetheless, wave propagation within inhomogeneously disordered materials has received scant attention. We combine microwave experiments and theory to find the…

Mesoscale and Nanoscale Physics · Physics 2020-02-12 Yiming Huang , Chushun Tian , Victor A. Gopar , Ping Fang , Azriel Z. Genack

Defects are a ubiquitous feature of ordered media. They have certain universal features, independent of the underlying physical system, reflecting their topological origins. While the topological properties of defects are robust, they…

Soft Condensed Matter · Physics 2021-02-24 Chiqun Zhang , Amit Acharya , Alan C. Newell , Shankar C. Venkataramani

Dynamic crack propagation drives catastrophic solid failures. In many amorphous brittle materials, sufficiently fast crack growth involves small-scale, high-frequency microcracking damage localized near the crack tip. The ultra-fast…

Materials Science · Physics 2012-03-30 Claudia Guerra , Julien Scheibert , Daniel Bonamy , Davy Dalmas

The freezing of colloidal suspensions is encountered in many natural and engineering processes. It can be harnessed through a process known as ice templating, to produce porous materials and composites exhibiting unique functional…

Applied Physics · Physics 2018-04-25 Audrey Lasalle , Christian Guizard , Eric Maire , Jérôme Adrien , Sylvain Deville

The macroscopic mechanical properties of densely packed coagulated colloidal particle gels strongly depend on the local arrangement of the powder particles on length scales of a few particle diameters. Heterogeneous microstructures exhibit…

Soft Condensed Matter · Physics 2009-11-09 Iwan Schenker , Frank T. Filser , Tomaso Aste , Ludwig J. Gauckler
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