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The transmission of stress is analysed for static periodic arrays of rigid grains, with perfect and zero friction. For minimal coordination number (which is sensitive to friction, sphericity and dimensionality), the stress distribution is…

Disordered Systems and Neural Networks · Physics 2009-10-31 R. C. Ball , D. V. Grinev

The complexity of quantum many-body systems is manifested in the vast diversity of their correlations, making it challenging to distinguish the generic from the atypical features. This can be addressed by analyzing correlations through…

Quantum Physics · Physics 2023-09-04 Daniel Haag , Flavio Baccari , Georgios Styliaris

We study the chemical bonds of small palladium clusters Pd_n (n=2-9) saturated by hydrogen atoms using electronic stress tensor. Our calculation includes bond orders which are recently proposed based on the stress tensor. It is shown that…

The current interest in compositionally complex alloys including so called high entropy alloys has caused renewed interest in the general problem of solute hardening. It has been suggested that this problem can be addressed by treating the…

Materials Science · Physics 2021-09-17 Michael Zaiser , Ronghai Wu

In general, the mechanics of granular matter is described using continuum mechanics approach; this requires to introduce the concepts of stress and strain, which are averaged quantities, so that this needs also to introduce the notion of…

Soft Condensed Matter · Physics 2007-05-23 P. Evesque

Transport coefficients and dielectric relaxation in liquids are often treated as distinct manifestations of molecular dynamics. We show that, in polar liquids, orientational dipolar fluctuations generate a substantial contribution to the…

Statistical Mechanics · Physics 2026-05-12 David S. Dean , Haim Diamant

We derive the generalized Green-Kubo relation and an integral form of the fluctuation theorem that apply to uniformly sheared granular systems in which microscopic time-reversal symmetry is broken. The former relation provides an exact…

Statistical Mechanics · Physics 2009-06-11 Song-Ho Chong , Michio Otsuki , Hisao Hayakawa

Particle based methods such as the Discrete Element Method and the Lattice Spring Method may be used for describing the behaviour of isotropic linear elastic materials. However, the common bond models employed to describe the interaction…

Computational Engineering, Finance, and Science · Computer Science 2021-07-06 Rahav Gowtham Venkateswaran , Ursula Kowalsky , Dieter Dinkler

In this paper, we study exactly the thermal conductance for a low dimensional system represented by two coupled massive Brownian particles, both directly and via a Green-Kubo expression. Both approaches give exactly the same result. We also…

Statistical Mechanics · Physics 2011-07-01 W. A. M. Morgado , D. O. Soares-Pinto

A minimal athermal model for the flow of dense disordered materials is proposed, based on two generic ingredients: local plastic events occuring above a microscopic yield stress, and the non-local elastic release of the stress these events…

Soft Condensed Matter · Physics 2009-11-10 Guillemette Picard , Armand Ajdari , Francois Lequeux , Lyderic Bocquet

Starting from the microscopic Smoluchowski equation for interacting Brownian particles under stationary shearing, exact expressions for shear-dependent steady-state averages, correlation and structure functions, and susceptibilities are…

Soft Condensed Matter · Physics 2009-11-11 Matthias Fuchs , Michael E. Cates

Dynamical screening of the Coulomb interactions in correlated electron systems results in a low-energy effective problem with a dynamical Hubbard interaction U(omega). We propose a Green's function ansatz for the Anderson impurity problem…

Strongly Correlated Electrons · Physics 2014-12-16 Michele Casula , Alexey Rubtsov , Silke Biermann

In this study, we propose a theory of rough adhesive contact of viscoelastic materials in steady-state sliding. By exploiting a boundary formulation based on Green function approach, the unknown contact domain is calculated by enforcing the…

Soft Condensed Matter · Physics 2024-01-31 C. Mandriota , N. Menga , G. Carbone

Monodisperse suspensions of Brownian colloidal spheres crystallize at high densities, and ordering under shear has been observed at densities below the crystallization threshold. We perform large-scale simulations of a model suspension…

Soft Condensed Matter · Physics 2022-12-02 Abhay Goyal , Emanuela Del Gado , Scott Z Jones , Nicos S Martys

In this paper we derive relations between the cross-correlation of ambient noises recorded at two different points and the Green's function of the elastic waves in a medium with viscous damping. The Green's function allows to estimate…

Other Condensed Matter · Physics 2011-03-25 Mikael Carmona , Olivier Michel , Jean-Louis Lacoume , Nathalie Sprynski , Barbara Nicolas

In two-dimensional tissues, such as developing germ layers, pair-wise forces (or active stresses) arise from the contractile activity of the cytoskeleton, with dissipation provided by the three-dimensional surroundings. We show analytically…

Soft Condensed Matter · Physics 2025-07-17 Yann-Edwin Keta , Silke Henkes

Based upon mesoscale simulations of binary mixtures with very low surface tension and positive disjoining pressure (frustration), we measure the correlation length of the stress field within the flowing mixture, as a function of the…

Soft Condensed Matter · Physics 2013-01-22 R. Benzi , M. Bernaschi , M. Sbragaglia , S. Succi

Within the mode-coupling theory (MCT) for the evolution of structural relaxation in glass-forming liquids, correlation functions and susceptibility spectra are calculated characterizing the rotational dynamics of a top-down symmetric…

Soft Condensed Matter · Physics 2015-06-24 W. Gotze , A. P. Singh , Th. Voigtmann

The talk describes recent progress in understanding the behaviour of the stress tensor and its correlation functions at a critical point of a generic quenched random system. The topics covered include:(i) the stress tensor in random systems…

Statistical Mechanics · Physics 2007-05-23 John Cardy

The thermal resistance associated with the interface between a solid and a liquid is analyzed from an atomistic point of view. Partial evaluation of the associated Green-Kubo integral elucidates the various factors governing heat transport…

Statistical Mechanics · Physics 2022-01-26 Nicolas G. Hadjiconstantinou , Mathew M. Swisher