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The complex shear modulus of solid $^4$He exhibits an anomaly in the same temperature region where torsion oscillators show a change in period. We propose that the observed stiffening of the shear modulus with decreasing temperature can be…

Statistical Mechanics · Physics 2012-12-06 Jung-Jung Su , Matthias J. Graf , Alexander V. Balatsky

We developed a detailed microscopic method that describes the shear modulus anomaly of solid helium at low temperature. The shear modulus was calculated using the pinning length of dislocations determined in detail for both crossing network…

Other Condensed Matter · Physics 2012-11-27 Evan S. H. Kang , Hongkee Yoon , Eunseong Kim

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…

Soft Condensed Matter · Physics 2023-08-09 Divas Singh Dagur , Chandana Mondal , Saikat Roy

The fluctuation dissipation theorem (FDT) is studied close to the glass transition in colloidal suspensions under steady shear. Shear breaks detailed balance in the many-particle Smoluchowski equation, and gives response functions in the…

Soft Condensed Matter · Physics 2009-11-13 Matthias Krüger , Matthias Fuchs

Broad theoretical arguments are proposed to show, formally, that the magnitude G of the temperature gradients in turbulent thermal convection at high Rayleigh numbers obeys the same advection-diffusion equation that governs the temperature…

Chaotic Dynamics · Physics 2011-02-11 K. R. Sreenivasan , A. Bershadskii , J. J. Niemela

We study correlations of hydrodynamic fluctuations in shear flow analytically and also by dissipative particle dynamics~(DPD) simulations. The hydrodynamic equations are linearized around the macroscopic velocity field and then solved by a…

Fluid Dynamics · Physics 2019-05-02 Xin Bian , Mingge Deng , George Em Karniadakis

We investigate in detail two models describing how stresses propagate and fluctuate in granular media. The first one is a scalar model where only the vertical component of the stress tensor is considered. In the continuum limit, this model…

Condensed Matter · Physics 2009-10-30 P. Claudin , J. -P. Bouchaud , M. E. Cates , J. P. Wittmer

Under steady shear, a foam relaxes stress through intermittent rearrangements of bubbles accompanied by sudden drops in the stored elastic energy. We use a simple model of foam that incorporates both elasticity and dissipation to study the…

We study two types of intrinsic uncertainties, statistical errors and system size effects, in estimating shear viscosity via equilibrium molecular dynamics simulations and compare them with the corresponding uncertainties in evaluating the…

Chemical Physics · Physics 2018-09-05 Kang-Sahn Kim , Myung Hoon Han , Changho Kim , Zhen Li , George Em Karniadakis , Eok Kyun Lee

We present the first experimental determination of the time autocorrelation $C(t',t)$ of magnetization in the non-stationary regime of a spin glass. Quantitative comparison with the response, the magnetic susceptibility $\chi(t',t)$, is…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. Herisson , M. Ocio

Theory and simulation of Brownian colloids suspended in an implicit solvent, with the hydrodynamics of the fluid accounted for by effective interactions between the colloids, are shown to yield a marked and hitherto unobserved discrepancy…

Soft Condensed Matter · Physics 2020-03-18 Duraivelan Palanisamy , Wouter K. den Otter

The shear stress autocorrelation function has been studied recently by molecular dynamics simulation using the 1/q^n potential for very large n. The results are analyzed and interpreted here by comparing them to the shear stress response…

Statistical Mechanics · Physics 2009-11-07 James W. Dufty

The relation between the autocorrelation $C(t,t_w)$ and the integrated linear response function $\chi(t,t_w)$ is studied in the context of the large-N model for phase-ordering systems subjected to a shear flow. In the high temperature phase…

Statistical Mechanics · Physics 2009-11-07 F. Corberi , G. Gonnella , E. Lippiello , M. Zannetti

Using memory-function formalism we show that in sheared colloidal suspensions the fluctuation-dissipation theorem for self-diffusion, i.e. Einstein's relation between self-diffusion and mobility tensors, is violated and propose a new way to…

Soft Condensed Matter · Physics 2009-11-10 Grzegorz Szamel

Using a high-sensitivity torsional oscillator technique, we mapped the rotational and relaxational dynamics of solid helium-4 throughout the parameter range of the proposed supersolidity. We found evidence that the same microscopic…

Other Condensed Matter · Physics 2011-06-16 E. J. Pratt , B. Hunt , V. Gadagkar , M. Yamashita , M. J. Graf , A. V. Balatsky , J. C. Davis

The fluctuation-dissipation theorem is a fundamental result in statistical physics that establishes a connection between the response of a system subject to a perturbation and the fluctuations associated with observables in equilibrium.…

Quantum Physics · Physics 2022-08-03 Tanmoy Biswas , A. de Oliveira Junior , Michał Horodecki , Kamil Korzekwa

Shear relaxation and dynamic density fluctuations are studied within a Rouse model, generalized to include the effects of permanent random crosslinks. We derive an exact correspondence between the static shear viscosity and the resistance…

Statistical Mechanics · Physics 2009-10-31 Kurt Broderix , Henning Loewe , Peter Mueller , Annette Zippelius

We study the response to shear deformations of packings of long spherocylindrical particles that interact via frictional forces with friction coefficient $\mu$. The packings are produced and deformed with the help of molecular dynamics…

Soft Condensed Matter · Physics 2021-06-02 Claus Heussinger

We numerically study the linear response of two-dimensional frictional granular materials under oscillatory shear. The storage modulus $G'$ and the loss modulus $G''$ in the zero strain rate limit depend on the initial strain amplitude of…

Soft Condensed Matter · Physics 2020-03-18 Michio Otsuki , Hisao Hayakawa

The first normal stress difference (${\mathcal N}_1$) and the microstructure in a dense sheared granular fluid of smooth inelastic hard-disks are probed using event-driven simulations. While the anisotropy in the second moment of…

Soft Condensed Matter · Physics 2009-11-10 Meheboob Alam , Stefan Luding