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We use continuum elasticity theory to revise scaling laws for radial breathing-like and shear-like vibration modes in quasi-2D nanostructures including finite-width nanoribbons and finite-size thin circular discs. Such modes can be observed…

介观与纳米尺度物理 · 物理学 2019-10-21 Dan Liu , Colin Daniels , Vincent Meunier , Arthur G. Every , David Tomanek

We study computationally the creep and yielding of athermal gels and fibre network materials under a constant imposed shear stress, within a minimal model of interconnected filaments with central forces in $d=2$ spatial dimensions. Each…

软凝聚态物质 · 物理学 2026-01-23 Michael J. Hertaeg , Suzanne M. Fielding

Focusing on shear-stress fluctuations we investigate numerically a simple generic model for self-assembled transient networks formed by repulsive beads reversibly bridged by ideal springs. With $\Delta dt$ being the sampling time and…

统计力学 · 物理学 2016-06-22 J. P. Wittmer , I. Kriuchevskyi , A. Cavallo , H. Xu , J. Baschnagel

Amorphous solids yield in strain-controlled protocols at a critical value of the strain. For larger strains the stress and energy display a generic complex serrated signal with elastic segments punctuated by sharp energy and stress plastic…

软凝聚态物质 · 物理学 2016-06-22 Awadhesh K. Dubey , H. George E. Hentschel , Itamar Procaccia , Murari Singh

We find that multifractal scaling is a robust property of a large class of continuous stochastic processes, constructed as exponentials of long-memory processes. The long memory is characterized by a power law kernel with tail exponent…

统计力学 · 物理学 2009-11-11 A. Saichev , D. Sornette

Wall-pressure fluctuations beneath turbulent boundary layers drive noise and structural fatigue through interactions between fluid and structural modes. Conventional predictive models for the spectrum--such as the widely accepted Goody…

流体动力学 · 物理学 2026-04-17 Jonathan M. O. Massey , Alexander J. Smits , Beverley J. McKeon

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),…

软凝聚态物质 · 物理学 2018-08-15 Mehdi Bouzid , Bavand Keshavarz , Michela Geri , Thibaut Divoux , Emanuela Del Gado , Gareth H. McKinley

We examine the dynamics of two coalescing liquid drops in the `inertial regime', where the effects of viscosity are negligible and the propagation of the bridge front connecting the drops can be considered as `local'. The solution fully…

流体动力学 · 物理学 2015-06-19 James E. Sprittles , Yulii D. Shikhmurzaev

The fractal properties of models of randomly placed $n$-dimensional spheres ($n$=1,2,3) are studied using standard techniques for calculating fractal dimensions in empirical data (the box counting and Minkowski-sausage techniques). Using…

凝聚态物理 · 物理学 2009-10-28 Daniel A. Hamburger , Ofer Biham , David Avnir

A numerical study is made of the spectra of a tight-binding hamiltonian on square approximants of the quasiperiodic octagonal tiling. Tilings may be pure or random, with different degrees of phason disorder considered. The level statistics…

凝聚态物理 · 物理学 2009-10-22 Frederic Piechon , Anuradha Jagannathan

The thermodynamics and dynamics of supercooled liquids correlate with their elasticity. In particular for covalent networks, the jump of specific heat is small and the liquid is {\it strong} near the threshold valence where the network…

无序系统与神经网络 · 物理学 2015-09-02 Le Yan , Matthieu Wyart

Using Monte-Carlo simulations, we determine the scaling form for the probability distribution of the shortest path, $\ell$, between two lines in a 3-dimensional percolation system at criticality; the two lines can have arbitrary positions,…

统计力学 · 物理学 2009-11-07 Gerald Paul , Shlomo Havlin , H. Eugene Stanley

We examine the response of an inertia-less viscoelastic channel flow to localized perturbations. A simplified model shows that the non-linear interaction between the velocity and elastic stress fields can split an initial pulsed disturbance…

流体动力学 · 物理学 2022-05-18 Ron Shnapp , Victor Steinberg

We propose a deterministic weighted scale-free small-world model for considering pseudofractal web with the coevolution of topology and weight. In the model, we have the degree distribution exponent $\gamma$ restricted to a range between 2…

统计力学 · 物理学 2011-02-03 Yichao Zhang , Zhongzhi Zhang , Shuigeng Zhou , Jihong Guan

The elastic response of mechanical, chemical, and biological systems is often modeled using a discrete arrangement of Hookean springs, either representing finite material elements or even the molecular bonds of a system. However, to date,…

软凝聚态物质 · 物理学 2026-03-03 Doron Grossman , Arezki Boudaoud

Much of the qualitative nature of physical systems can be predicted from the way it scales with system size. Contrary to the continuum expectation, we observe a profound deviation from logarithmic scaling in the impedance of a…

We study the elastic properties of phantom networks of Gaussian and nearly-Gaussian springs. We show that the stress tensor of a Gaussian network coincides with the conductivity tensor of an equivalent resistor network, while its elastic…

统计力学 · 物理学 2009-10-31 Oded Farago , Yacov Kantor

Experiments on fracture surface morphologies offer increasing amounts of data that can be analyzed using methods of statistical physics. One finds scaling exponents associated with correlation and structure functions, indicating a rich…

材料科学 · 物理学 2009-11-11 Eran Bouchbinder , Itamar Procaccia , Shani Sela

We investigate a family of quasiperiodic continuous elastic beams, the topological properties of their vibrational spectra, and their relation to the existence of localized modes. We specifically consider beams featuring arrays of ground…

介观与纳米尺度物理 · 物理学 2019-06-04 Raj Kumar Pal , Matheus I. N. Rosa , Massimo Ruzzene

We examine microstructural and mechanical changes which occur during oscillatory shear flow and reformation after flow cessation of an intermediate volume fraction colloidal gel using rheometry and Brownian Dynamics (BD) simulations. A…

软凝聚态物质 · 物理学 2017-07-11 E. Moghimi , A. R. Jacob , N. Koumakis , G. Petekidis