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We study the formation and the dynamics of correlations in the velocity field for 1D and 2D cooling granular gases with the assumption of negligible density fluctuations (``Homogeneous Velocity-correlated Cooling State'', HVCS). It is shown…

统计力学 · 物理学 2015-06-24 Andrea Baldassarri , Umberto Marini Bettolo Marconi , Andrea Puglisi

One of the essential questions in the area of granular matter is, how to obtain macroscopic tensorial quantities like stress and strain from ``microscopic'' quantities like the contact forces in a granular assembly. Different averaging…

统计力学 · 物理学 2007-05-23 Marc Lätzel , Stefan Luding , Hans J. Herrmann

In this work, we systematically investigate for the first time the nature of stress correlations in soft colloidal gel materials which support tensile and compressive forces as well as finite rolling torque, as a function of system…

软凝聚态物质 · 物理学 2023-08-09 Divas Singh Dagur , Chandana Mondal , Saikat Roy

Motivated by the large strain shear of loose granular materials we introduced a model which consists of consecutive optimization and restructuring steps leading to a self organization of a density field. The extensive connections to other…

统计力学 · 物理学 2013-05-29 Janos Torok , Supriya Krishnamurthy , Janos Kertesz , Stephane Roux

Our understanding of the elasticity and rheology of disordered materials, such as granular piles, foams, emulsions or dense suspensions relies on improving experimental tools to characterize their behaviour at the particle scale. While 2D…

软凝聚态物质 · 物理学 2010-09-24 Mohammad Saadatfar , Adrian P. Sheppard , Tim J. Senden , Alexandre J. Kabla

We present a framework for analyzing the rheology of dense driven granular materials, based on a recent proposal of a stress-based ensemble. In this ensemble fluctuations in a granular system near jamming are controlled by a…

软凝聚态物质 · 物理学 2010-06-15 Dapeng Bi , Bulbul Chakraborty

Granular materials are ubiquitous in nature and are used extensively in daily life and in industry. The modeling of these materials remains challenging; therefore, finding models with acceptable predictive accuracy that at the same time…

The modeling of the elastic properties of granular or nanoscale systems requires the foundations of the theory of elasticity to be revisited, as one explores scales at which this theory may no longer hold. The only cases for which a…

统计力学 · 物理学 2007-05-23 I. Goldhirsch , C. Goldenberg

Machine learning approaches informed by physics have offered new insights into the discovery of constitutive models from data, helping overcome some limitations of traditional constitutive modelling while reducing the cost of otherwise…

材料科学 · 物理学 2026-05-19 Filippo Masi

We present simulations of causal dynamical collapse models of field theories on a 1+1 null lattice. We use our simulations to compare and contrast two possible interpretations of the models, one in which the field values are real and the…

量子物理 · 物理学 2009-11-10 Fay Dowker , Isabelle Herbauts

We introduce a weighed scalar average formalism ("q-average") for the study of the theoretical properties and the dynamics of spherically symmetric Lemaitre-Tolman-Bondi (LTB) dust models models. The "q-scalars" that emerge by applying the…

广义相对论与量子宇宙学 · 物理学 2015-06-11 Roberto A. Sussman

The generalized elastic model encompasses several physical systems such as polymers, membranes, single file systems, fluctuating surfaces and rough interfaces. We consider the case of an applied localized potential, namely an external force…

统计力学 · 物理学 2012-03-16 Alessandro Taloni , Aleksei Chechkin , Joseph Klafter

Traditionally, stress fluctuations in flowing and deformed materials are overlooked, with an obvious focus on average stresses in a continuum mechanical approximation. However, these fluctuations, often dismissed as noise, hold the…

材料科学 · 物理学 2024-07-02 Arturo Winters , Hans Christian Öttinger , Jan Vermant

We present and review several models of fractional viscous stresses from the literature, which generalise classical viscosity theories to fractional orders by replacing total strain derivatives in time with fractional time derivatives. We…

软凝聚态物质 · 物理学 2024-03-14 Harold Berjamin , Michel Destrade

We study in detail a one-dimensional lattice model of a continuum, conserved field (mass) that is transferred deterministically between neighbouring random sites. The model falls in a wider class of lattice models capturing the joint effect…

统计力学 · 物理学 2023-11-01 Stefano Lepri , Paolo Politi , Arkady Pikovsky

We focus here on the thermodynamic properties of adsorbates formed by two-species $A+B \to \oslash$ reactions on a one-dimensional infinite lattice with heterogeneous "catalytic" properties. In our model hard-core $A$ and $B$ particles…

统计力学 · 物理学 2020-09-17 Dmytro Shapoval , Maxym Dudka , Olivier Bénichou , Gleb Oshanin

For a given thermodynamic system, and a given choice of coarse-grained state variables, the knowledge of a force-flux constitutive law is the basis for any nonequilibrium modeling. In the first paper of this series we established how, by a…

统计力学 · 物理学 2021-02-03 Alberto Montefusco , Mark A. Peletier , Hans Christian Öttinger

We study sample-to-sample fluctuations in a critical two-dimensional Ising model with quenched random ferromagnetic couplings. Using replica calculations in the renormalization group framework we derive explicit expressions for the…

统计力学 · 物理学 2017-03-13 Victor Dotsenko , Yurij Holovatch , Maxym Dudka , Martin Weigel

The flow of frictionless granular particles is studied with stress-controlled discrete element modeling simulations for systems varying in size from 300 to 100,000 particles. The volume fraction and shear stress ratio $\mu$ are relatively…

软凝聚态物质 · 物理学 2022-01-12 A. P. Santos , Ishan Srivastava , Leonardo E. Silbert , Jeremy B. Lechman , Gary S. Grest

Studying the effect of mechanical perturbations on granular systems is crucial for understanding soil stability, avalanches, and earthquakes. We investigate a granular system as a laboratory proxy for fault gouge. When subjected to a slow…

软凝聚态物质 · 物理学 2023-06-06 Kasra Farain , Daniel Bonn