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We describe the measurement of anisotropic viscoelastic moduli in complex soft materials, such as biopolymer gels, via video particle tracking microrheology of colloid tracer particles. The use of a correlation tensor to find the axes of…

Soft Condensed Matter · Physics 2007-05-23 I A Hasnain , A M Donald

In this paper we proceed with the multiscale analysis of semilinear damped stochastic wave motions. The analysis is made by combining the well-known sigma convergence method with its stochastic counterpart, associated to some compactness…

Analysis of PDEs · Mathematics 2018-01-09 Aurelien Fouetio , Gabriel Nguetseng , Jean Louis Woukeng

The shear viscosity in the dilute regime of a model for confined granular matter is studied by simulations and kinetic theory. The model consists on projecting into two dimensions the motion of vibrofluidized granular matter in shallow…

Statistical Mechanics · Physics 2015-06-22 Rodrigo Soto , Dino Risso , Ricardo Brito

We employ multiple sinusoid modulated optical tweezers to measure the frequency dependent rheological parameters of a linear viscoelastic fluid over five decades of frequency in a single shot, hitherto not achieved using active…

Soft Condensed Matter · Physics 2021-03-09 Avijit Kundu , Raunak Dey , Shuvojit Paul , Ayan Banerjee

The linear viscoelastic response of flexible polymer solutions in the dilute and semidilute unentangled regimes is investigated using Brownian dynamics simulations. The relaxation modulus and dynamic moduli are computed over a wide range of…

Soft Condensed Matter · Physics 2026-04-08 Amit Varakhedkar , P. Sunthar , J. Ravi Prakash

To make progress in understanding the issue of memory loss and history dependence in evolving complex systems, we consider the mixing rate that specifies how fast the future states become independent of the initial condition. We propose a…

Statistical Mechanics · Physics 2024-06-19 Miroslav Kramar , Lenka Kovalcinova , Konstantin Mischaikow , Lou Kondic

Force-distance curve experiments are commonly performed in Atomic Force Microscopy (AFM) to obtain the viscoelastic characteristics of materials, such as the storage and loss moduli or compliances. The classic methods used to obtain these…

Applied Physics · Physics 2022-04-25 Berkin Uluutku , Marshall Richards McCraw , Santiago D. Solares

We show that the bulk winding number characterizing one-dimensional topological insulators with chiral symmetry can be detected from the displacement of a single particle, observed via losses. Losses represent the effect of repeated weak…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Tibor Rakovszky , Janos K. Asboth , Andrea Alberti

A discrete-element method (DEM) assembly of virtual particles is calibrated to approximate the behavior of a natural sand in undrained loading. The particles are octahedral, bumpy clusters of spheres that are compacted into assemblies of…

Soft Condensed Matter · Physics 2018-12-27 Matthew R. Kuhn , Hannah E. Renken , Austin D. Mixsell , Steven L. Kramer

Chemical accuracy serves as an important metric for assessing the effectiveness of the numerical method in Kohn--Sham density functional theory. It is found that to achieve chemical accuracy, not only the Kohn--Sham wavefunctions but also…

Computational Physics · Physics 2023-10-25 Yang Kuang , Yedan Shen , Guanghui Hu

We report an extension of the smoothed profile method (SPM)[Y. Nakayama, K. Kim, and R. Yamamoto, Eur. Phys. J. E {\bf 26}, 361(2008)], a direct numerical simulation method for calculating the complex modulus of the dispersion of particles,…

Soft Condensed Matter · Physics 2012-11-22 T. Iwashita , T. Kumagai , R. Yamamoto

A periodically patterned free surface with inclined slits can convert an incident compressional wave into a reflected shear wave with nearly complete efficiency at very low frequency. The system is described by two-dimensional in-plane…

Applied Physics · Physics 2026-01-14 Kaifei Feng , Pai Peng

We study a mesoscopic elasto-plastic model of amorphous matter with varying dimensionless compression modulus, $K/\mu$, where $K$ and $\mu$ are the compression and shear moduli. We study both cyclic shear with amplitude $\Gamma$ and forward…

Soft Condensed Matter · Physics 2026-03-25 A. Elgailani , D. Vandembroucq , C. E. Maloney

The study of the long time conservation for numerical methods poses interesting and challenging questions from the point of view of geometric integration. In this paper, we analyze the long time energy and magnetic moment conservations of…

Numerical Analysis · Mathematics 2021-10-19 Bin Wang , Xinyuan Wu , Yonglei Fang

Recent progress on studies of the nanoscale mechanical responses in disordered systems has highlighted a strong degree of heterogeneity in the elastic moduli. In this contribution, using computer simulations, we study the elastic…

Soft Condensed Matter · Physics 2016-02-12 Hideyuki Mizuno , Leonardo E. Silbert , Matthias Sperl

We study the shear jamming of athermal frictionless soft spheres, and find that in the thermodynamic limit, a shear-jammed state exists with different elastic properties from the isotropically-jammed state. For example, shear-jammed states…

Soft Condensed Matter · Physics 2017-05-04 Marco Baity-Jesi , Carl P. Goodrich , Andrea J. Liu , Sidney R. Nagel , James P. Sethna

We propose to homogenize a periodic (along one direction) structure, first in order to verify the quasi-static prediction of its response to an acoustic wave arising from mixing theory, then to address the question of what becomes of this…

Applied Physics · Physics 2018-03-14 Armand Wirgin

A mixed mimetic spectral element method is applied to solve the rotating shallow water equations. The mixed method uses the recently developed spectral element histopolation functions, which exactly satisfy the fundamental theorem of…

Numerical Analysis · Mathematics 2018-01-12 David Lee , Artur Palha , Marc Gerritsma

The Multimodal Direct Inversion (MMDI) algorithm is widely used in Magnetic Resonance Elastography (MRE) to estimate tissue shear stiffness. However, MMDI relies on the Helmholtz equation, which assumes wave propagation in a uniform,…

Machine Learning · Computer Science 2025-12-16 Hassan Iftikhar , Rizwan Ahmad , Arunark Kolipaka

We use molecular dynamics simulations of a model three-dimensional particulate gel, to investigate the linear viscoelastic response. The numerical simulations are combined with a novel test protocol (the optimally- windowed chirp or OWCh),…

Soft Condensed Matter · Physics 2018-08-15 Mehdi Bouzid , Bavand Keshavarz , Michela Geri , Thibaut Divoux , Emanuela Del Gado , Gareth H. McKinley