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We study aging dynamics in two non-disordered spin models with multi-spin interactions, following a sudden quench to low temperature. The models are relevant to the physics of supercooled liquids. Their low temperature dynamics resemble…

Statistical Mechanics · Physics 2009-11-11 Robert L. Jack , Ludovic Berthier , Juan P. Garrahan

We study the jamming transition in a model of elastic particles under shear at zero temperature, with a focus on the relaxation time $\tau_1$. This relaxation time is from two-step simulations where the first step is the ordinary shearing…

Soft Condensed Matter · Physics 2024-02-19 Lucas Hedström , Peter Olsson

Another way to evaluate the spectral-correlation properties of thermal fields of solids is suggested. Such a method takes into account detailed structure of the interface transition layer separating one bulk region from those of the vacuum…

Quantum Physics · Physics 2015-06-15 Illarion Dorofeyev

For systems close to equilibrium, the relaxation properties of measurable physical quantities are described by the linear response theory and the fluctuation-dissipation theorem (FDT). Accordingly, the response or the generalized…

Statistical Mechanics · Physics 2012-07-11 Bartlomiej Dybiec , Juan M. R. Parrondo , Ewa Gudowska-Nowak

We argue that the ratio between the shear viscosity and the shear relaxation time, $\eta/\tau_\pi$, should be defined as a thermodynamic quantity obtained from the equal-time symmetric correlator of the shear-stress tensor. In kinetic…

Nuclear Theory · Physics 2024-06-25 Gabriel S. Denicol , Jorge Noronha

We present a numerical study of the flow of an assembly of frictionless soft discs at zero temperature, in the vicinity of and slightly above the jamming density. We find that some of the flow properties, such as the fluctuations in the…

Materials Science · Physics 2010-06-24 Claus Heussinger , Pinaki Chaudhuri , Jean-Louis Barrat

We analyse the statistics of the shear stress in a one dimensional \emph{model fluid}, that exhibits a rich phase behaviour akin to real complex fluids under shear. We show that the energy flux satisfies the Gallavotti-Cohen FT across all…

Statistical Mechanics · Physics 2016-09-06 Pritha Dolai , Aditi Simha

The correlations of the fluctuating stress tensor are calculated in an equilibrium molecular-dynamics simulation of a Lennard--Jones liquid. We define a coarse-grained local stress tensor which can be calculated numerically and which allows…

Soft Condensed Matter · Physics 2012-01-19 Michael Schindler

Sheared wet foam, which stores elastic energy in bubble deformations, relaxes stress through bubble rearrangements. The intermittency of bubble rearrangements in foam leads to effectively stochastic drops in stress that are followed by…

Soft Condensed Matter · Physics 2009-11-07 Ethan Pratt , Michael Dennin

In recent work it was clarified that amorphous solids under strain control do not possess nonlinear elastic theory in the sense that the shear modulus exists but nonlinear moduli exhibit sample to sample fluctuations that grow without bound…

Soft Condensed Matter · Physics 2017-03-29 Vladimir Dailidonis , Valery Ilyin , Itamar Procaccia , Carmel A. B. Z. Shor

The fluctuation-dissipation (F-D) theorem is a fundamental result for systems near thermodynamic equilibrium, and justifies studies between microscopic and macroscopic properties. It states that the nonequilibrium relaxation dynamics is…

Statistical Mechanics · Physics 2015-03-13 Jianhua Xing

We study the elastic properties of thermal networks of Hookean springs. In the purely mechanical limit, such systems are known to have vanishing rigidity when their connectivity falls below a critical, isostatic value. In this work we show…

Soft Condensed Matter · Physics 2015-06-15 Matthew Dennison , Michael Sheinman , Cornelis Storm , Fred C. MacKintosh

Shear thickening of suspensions is studied by discrete-particle simulation, accounting for hydrodynamic, repulsive, and contact forces. The contact forces, including friction, are activated when the imposed shear stress $\sigma$ is able to…

Soft Condensed Matter · Physics 2021-08-17 Omer Sedes , Bulbul Chakraborty , Hernan A. Makse , Jeffrey F. Morris

Comparing isotropic solids and fluids at either imposed volume or pressure we investigate various correlations of the instantaneous pressure and its ideal and excess contributions. Focusing on the compression modulus K it is emphasized that…

Soft Condensed Matter · Physics 2013-05-08 J. P. Wittmer , H. Xu , P. Polińska , F. Weysser , J. Baschnagel

G-equations are well-known front propagation models in turbulent combustion and describe the front motion law in the form of local normal velocity equal to a constant (laminar speed) plus the normal projection of fluid velocity. In level…

Analysis of PDEs · Mathematics 2015-05-19 Yu-Yu Liu , Jack Xin , Yifeng Yu

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…

Soft Condensed Matter · Physics 2022-01-12 A. P. Santos , Ishan Srivastava , Leonardo E. Silbert , Jeremy B. Lechman , Gary S. Grest

We rigorously establish that, in disordered three-dimensional (3D) isotropic solids, the stress autocorrelation function presents anisotropic terms that decay as $1/r^3$ at long-range, with $r$ the distance, as soon as either pressure or…

Soft Condensed Matter · Physics 2018-08-06 Anaël Lemaître

We derive the transient-time correlation function (TTCF) expression for the computation of phase variables of inhomogenous confined atomistic fluids undergoing boundary-driven planar shear (Couette) flow at constant pressure. Using…

Soft Condensed Matter · Physics 2022-05-24 Luca Maffioli , Edward R. Smith , James P. Ewen , Peter J. Daivis , Daniele Dini , B. D. Todd

We study the dynamics of a 2d driven inelastic gas, by means of Direct Simulation Monte Carlo (DSMC) techniques, i.e. under the assumption of Molecular Chaos. Under the effect of a uniform stochastic driving in the form of a white noise…

Statistical Mechanics · Physics 2009-11-07 A. Puglisi , A. Baldassarri , V. Loreto

A solid - amorphous or crystalline - is defined by a finite shear modulus while a fluid lacks such. We thus experimentally investigate the elastic properties of a colloidal glass former near the glass transition: spectroscopy of vibrational…

Soft Condensed Matter · Physics 2015-12-02 Christian L. Klix , Georg Maret , Peter Keim