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We propose a mathematical framework for designing robust networks of coupled phase-oscillators by leveraging a vulnerability measure proposed by Tyloo et. al that quantifies how much a small perturbation to a phase-oscillator's natural…

最优化与控制 · 数学 2023-08-14 Shriya V. Nagpal , Gokul G. Nair , Francesca Parise , C. Lindsay Anderson

We study the fractal structure of the surface in two-dimensional quantum Regge calculus by performing Monte Carlo simulation with up to 200,000 triangles. The result can be compared with the universal scaling function obtained analytically…

高能物理 - 格点 · 物理学 2009-10-22 Jun Nishimura , Masaki Oshikawa

The normal modes and relaxation rates of weak colloidal gels are investigated in computations employing different models of the hydrodynamic interactions between colloids. The eigenspectrum is computed for freely draining,…

流体动力学 · 物理学 2018-01-17 Zsigmond Varga , James W. Swan

Plastic deformation of crystalline and amorphous matter often involves intermittent local strain burst events. To understand the physical background of the phenomenon a minimal stochastic mesoscopic model was introduced, where…

Over the last half-century, linear viscoelastic models for crack growth in soft solids have flourished but their predictions have rarely been compared to experiments. In fact, most available models are either very approximate or cast in…

软凝聚态物质 · 物理学 2024-07-02 Etienne Barthel

We propose and study a simplified model for the surface and bulk structures of crosslinked polymer gels, into which voids are introduced through templating by surfactant micelles. Such systems were recently studied by Atomic Force…

软凝聚态物质 · 物理学 2009-11-07 G. M. Buendia , S. J. Mitchell , P. A. Rikvold

A fundamental difference between fluids and solids is their response to applied shear. Solids possess static shear moduli, while fluids do not. Complex fluids such as foams display an intermediate response to shear with nontrivial…

软凝聚态物质 · 物理学 2009-04-22 Micah Lundberg , Kapilanjan Krishan , Ning Xu , Corey O'Hern , Michael Dennin

We study the static and dynamic structure of thermally fluctuating elastic thin sheets by investigating the overdamped dynamic F\"oppl-von K\'arm\'an equation, in which the F\"oppl-von K\'arm\'an equation from elasticity theory is driven by…

软凝聚态物质 · 物理学 2023-05-10 Chanania Steinbock , Eytan Katzav

In a previous paper (Leblond et al., 2011), we proposed a theoretical interpretation of the experimentally well known instability of coplanar crack propagation in mode I+III. The interpretation relied on a stability analysis based on…

软凝聚态物质 · 物理学 2019-03-27 Jean-Baptiste Leblond , Alain Karma , Laurent Ponson , Aditya Vasudevan

Fractal patterns are observed in computational mechanics of elastic-plastic transitions in two models of linear elastic/perfectly-plastic random heterogeneous materials: (1) a composite made of locally isotropic grains with weak random…

统计力学 · 物理学 2015-05-13 J. Li , M. Ostoja-Starzewski

Interior stagnation point flows of viscoelastic liquids arise in a wide variety of applications including extensional viscometry, polymer processing and microfluidics. Experimentally, these flows have long been known to exhibit…

流体动力学 · 物理学 2007-05-23 Li Xi , Michael D. Graham

We probe flows of soft, viscous spheres near the jamming point, which acts as a critical point for static soft spheres. Starting from energy considerations, we find nontrivial scaling of velocity fluctuations with strain rate. Combining…

软凝聚态物质 · 物理学 2015-03-13 Brian P. Tighe , Erik Woldhuis , Joris J. C. Remmers , Wim van Saarloos , Martin van Hecke

Fractal aggregates are built on a computer using off-lattice cluster-cluster aggregation models. The aggregates are made of spherical particles of different sizes distributed according to a Gaussian-like distribution characterised by a mean…

凝聚态物理 · 物理学 2015-06-25 Anwar Hasmy , René Vacher , Rémi Jullien

Low-frequency molecular fluctuations in the translational nonequilibrium zone of one-dimensional strong shock waves are characterised for the first time in a kinetic collisional framework in the Mach number range $2\le M\le 10$. Our…

流体动力学 · 物理学 2021-10-27 Saurabh S. Sawant , Deborah A. Levin , Vassilios Theofilis

A minimal model for studying the mechanical properties of amorphous solids is a disordered network of point masses connected by unbreakable springs. At a critical value of its mean connectivity, such a network becomes fragile: it undergoes…

软凝聚态物质 · 物理学 2014-03-05 Stephan Ulrich , Nitin Upadhyaya , Bas van Opheusden , Vincenzo Vitelli

We study equilibrium configurations of non-Euclidean plates, in which the reference metric is uniaxially periodic. This work is motivated by recent experiments on thin sheets of composite thermally responsive gels [1]. Such sheets bend…

斑图形成与孤子 · 物理学 2015-06-12 Michael Moshe , Eran Sharon , Raz Kupferman

We consider, computationally and experimentally, the scaling properties of force networks in the systems of circular particles exposed to compression in two spatial dimensions. The simulations consider polydisperse and monodisperse…

计算物理 · 物理学 2016-04-20 Lenka Kovalcinova , Arnaud Goullet , Lou Kondic

Predicting the mechanical response of the soft gel materials under external deformation is of paramount importance in many areas, such as foods, pharmaceuticals, solid-liquid separations, cosmetics, aerogels and drug delivery. Most of the…

软凝聚态物质 · 物理学 2023-05-22 Divas Singh Dagur , Yezaz Ahmed Gadi Man , Saikat Roy

We study anomalous scaling and multiscaling of two-dimensional crack profiles in the random fuse model using both periodic and open boundary conditions. Our large scale and extensively sampled numerical results reveal the importance of…

统计力学 · 物理学 2008-04-15 Phani K. V. V. Nukala , Stefano Zapperi , Mikko Alava , Srdjan Simunovic

We propose a scaling ansatz for the elastic energy of a system near the critical jamming transition in terms of three relevant fields: the compressive strain $\Delta \phi$ relative to the critical jammed state, the shear strain $\epsilon$,…

软凝聚态物质 · 物理学 2015-10-14 Carl P. Goodrich , Andrea J. Liu , James P. Sethna