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The rheology of a dilute binary mixture of inertial suspension under simple shear flow is analyzed in the context of the Boltzmann kinetic equation. The effect of the surrounding viscous gas on the solid particles is accounted for by means…

Soft Condensed Matter · Physics 2023-11-27 Satoshi Takada , Hisao Hayakawa , Vicente Garzó

The mode-coupling theory of the glass transition treats the dynamics of supercooled liquids in terms of two-point density correlation functions. Here we consider a generalized, hierarchical formulation of schematic mode-coupling equations…

Statistical Mechanics · Physics 2014-11-27 Liesbeth M. C. Janssen , Peter Mayer , David R. Reichman

The thermodynamic dislocation theory developed for non-uniform plastic deformations is used here to simulate the stress-strain curves for crystals subjected to anti-plane shear-controlled load reversal. We show that the presence of the…

Materials Science · Physics 2018-05-02 Khanh Chau Le , Tuan Minh Tran

We study the steady-state response to applied stress in a simple scalar model of sheared colloids. Our model is based on a schematic (F2) model of the glass transition, with a memory term that depends on both stress and shear rate. For…

Soft Condensed Matter · Physics 2009-11-07 C. B. Holmes , M. Fuchs , M. E. Cates

Molecular dynamics simulations are performed for a polymer melt composed of short chains in quiescent and sheared conditions. The stress relaxation function $G(t)$ exhibits a stretched exponential form in a relatively early stage and…

Soft Condensed Matter · Physics 2009-10-31 Ryoichi Yamamoto , Akira Onuki

We report results of molecular-dynamics simulations for a glassy polymer melt consisting of short, linear bead-spring chains. It was shown in previous work that this onset of the glassy slowing down is compatible with the predictions of the…

Soft Condensed Matter · Physics 2009-10-31 C. Bennemann , J. Baschnagel , W. Paul , K. Binder

The standard field-theoretical procedure to study the effect of long wavelength fluctuations on a genuine second-order phase transition is applied to the Mode-Coupling-Theory (MCT) dynamical singularity at $T_c$ in the $\beta$ regime.…

Disordered Systems and Neural Networks · Physics 2013-07-17 Tommaso Rizzo

A theory for the non-local shear stress correlations in supercooled liquids is derived from first principles. It captures the crossover from viscous to elastic dynamics at an idealized liquid to glass transition and explains the emergence…

Soft Condensed Matter · Physics 2018-01-03 Manuel Maier , Annette Zippelius , Matthias Fuchs

While experiments and simulations have provided a rich picture of the dynamic heterogeneity in glasses at constant temperature or under steady shear, the dynamics of glasses under oscillatory shear remain comparatively less explored. Recent…

Soft Condensed Matter · Physics 2024-10-03 Ian R Graham , Paulo E Arratia , Robert A Riggleman

We investigate the effect of a single heat treatment cycle on the potential energy states and mechanical properties of metallic glasses using molecular dynamics simulations. We consider the three-dimensional binary mixture, which was…

Soft Condensed Matter · Physics 2019-06-14 Nikolai V. Priezjev

Experimental studies of the glassy slowdown in molecular liquids indicate that the high-temperature activation energy $E_{\infty}$ of glass-forming liquids is directly related to their glass transition temperature $T_{\text{g}}$. To further…

Soft Condensed Matter · Physics 2021-03-02 L. Hecht , R. Horstmann , B. Liebchen , M. Vogel

The decay of a small homogeneous perturbation of the temperature of a dilute granular gas in the steady uniform shear flow state is investigated. Using kinetic theory based on the inelastic Boltzmann equation, a closed equation for the…

Statistical Mechanics · Physics 2012-12-18 J. Javier Brey , P. Maynar , M. I. Garcia de Soria

Using a combination of theory, experiment and simulation we investigate the nonlinear response of dense colloidal suspensions to large amplitude oscillatory shear flow. The time-dependent stress response is calculated using a recently…

Soft Condensed Matter · Physics 2015-05-20 J. M. Brader , M. Siebenbuerger , M. Ballauff , K. Reinheimer , M. Wilhelm , S. J. Frey , F. Weysser , M. Fuchs

The glass transition is described in terms of thermally activated local structural rearrangements, the secondary relaxations of the glass phase. The interaction between these secondary relaxations leads to a much faster and much more…

Disordered Systems and Neural Networks · Physics 2007-05-23 U. Buchenau

Metallic glasses response to the mechanical stress in a complex and inhomogeneous manner with plastic strain highly localized into nanoscale shear bands. Contrary to the well-defined deformation mechanism in crystalline solids,…

Materials Science · Physics 2020-07-01 Baoan Sun , Liping Yu , Gang Wang , Xing Tong , Chuan Geng , Jingtao Wang , Jingli Ren , Weihua Wang

We develop a kinetic-theory framework to investigate the steady rheology of a dilute gas interacting via a repulsive potential under uniform shear flow. Starting from the Boltzmann equation with a restitution coefficient that depends on the…

Soft Condensed Matter · Physics 2026-04-23 Yuria Kobayashi , Makoto R. Kikuchi , Shunsuke Iizuka , Satoshi Takada

We provide extended evidence that mode-coupling theory (MCT) of supercooled liquids for the ${\mathsf F}_{12}$ schematic model admits a microscopic realization based on facilitated spin models with tunable facilitation. Depending on the…

Disordered Systems and Neural Networks · Physics 2012-08-24 Jeferson J. Arenzon , Mauro Sellitto

We propose a dynamical theory of low-temperature shear deformation in amorphous solids. Our analysis is based on molecular-dynamics simulations of a two-dimensional, two-component noncrystalline system. These numerical simulations reveal…

Statistical Mechanics · Physics 2009-10-30 M. L. Falk , J. S. Langer

We study the dynamics of a one-component liquid constrained on a spherical substrate, a 2-sphere, and investigate how the mode-coupling theory (MCT) can describe the new features brought by the presence of curvature. To this end we have…

Soft Condensed Matter · Physics 2015-09-30 Julien-Piera Vest , Gilles Tarjus , Pascal Viot

In this paper, we introduce a simple mode-coupling model for concentrated suspensions under flow . This model exhibits a jamming transition, and stress vs shear rate relations which are very similar to experimental results. Namely newtonian…

Soft Condensed Matter · Physics 2009-10-31 P. Hebraud , F. Lequeux