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In anisotropic turbulence the correlation functions are decomposed in the irreducible representations of the SO(3) symmetry group (with different "angular momenta" $\ell$). For different values of $\ell$ the second order correlation…

Chaotic Dynamics · Physics 2009-11-07 Victor S. L'vov , Itamar Procaccia , Vasil Tiberkevich

Theoretical studies of nearly spherical vesicles and microemulsion droplets, that present typical examples for thermally-excited systems that are subject to constraints, are reviewed. We consider the shape fluctuations of such systems…

Soft Condensed Matter · Physics 2021-04-28 Nicholay S. Tonchev

In homogeneous glasses, values of the important dimensionless stretched-exponential shape parameter beta are shown to be determined by magic (not adjusted) simple fractions derived from fractal configuration spaces of effective dimension d*…

Materials Science · Physics 2009-11-10 J. R. Macdonald , J. C. Phillips

We present experimental evidence that the effective medium approximation (EMA), developed by D.C. Morse [Phys. Rev. E {\bf 63}, 031502, (2001)], provides the correct scaling law of the macroscopic plateau modulus…

Soft Condensed Matter · Physics 2009-11-13 Manlio Tassieri , R. M. L. Evans , Lucian Barbu-Tudoran , G. Nasir Khan , John Trinick , Tom A. Waigh

An introduction to the defects which dominate the physics of superfluid He$^4$ films, of superconducting slabs and of crystalline and hexatic membranes is given. We first review point vortices in two-dimensional neutral superfluids and…

Condensed Matter · Physics 2007-05-23 David R. Nelson

For curves of prescribed length embedded into the unit disc in two dimensions, we obtain scaling results for the minimal elastic energy as the length just exceeds $2\pi$ and in the large length limit. In the small excess length case, we…

Differential Geometry · Mathematics 2020-10-02 Stephan Wojtowytsch

The roughness exponent of surfaces obtained by dispersing silica spheres into a quasi-two-dimensional cell is examined using experimental and computational methods. The cell consists of two glass plates separated by a gap, which is…

Soft Condensed Matter · Physics 2007-05-23 K. V. McCloud , U. Cardak , M. L. Kurnaz

We introduce the technique of aspect-ratio scaling to study the scale-dependence of interfacial energies in Ising spin glasses, and we show how one can use it to determine the stiffness exponent $\theta$ in a clean way, with results that…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. C. Carter , A. J. Bray , M. A. Moore

The self-assembly of hard polyhedral particles confined to a flat interface is studied using Monte Carlo simulations. The particles are pinned to the interface by restricting their movement in the direction perpendicular to it while…

Soft Condensed Matter · Physics 2014-12-02 V. Thapar , T. Hanrath , F. A. Escobedo

We study the effects realistic fracture criteria have on crack morphology obtained in numerical simulations with a stochastic discrete element method. Results are obtained with two criteria which are consistent with the theory of elasticity…

Soft Condensed Matter · Physics 2018-08-21 Bjørn Skjetne , Alex Hansen

We study effective shear viscosity $\mu^\star$ and effective extensional viscosity $\lambda^\star$ of concentrated non-colloidal suspensions of rigid spherical particles. The focus is on the spatially disordered arrays. We use recently…

Fluid Dynamics · Physics 2007-05-23 Leonid Berlyand , Alexander Panchenko

We examine the phase behavior of a quasi-one-dimensional system of hard squares with side-length $\sigma$, where the particles are confined between two parallel walls and only nearest neighbor interactions occur. As in our previous work…

Statistical Mechanics · Physics 2017-05-03 Peter Gurin , Gerardo Odriozola , Szabolcs Varga

We study the shapes of elastic membranes under the simultaneous exertion of tensile and compressive forces when the translational symmetry along the tension direction is broken. We predict a multitude of novel morphological phases in…

Soft Condensed Matter · Physics 2015-05-13 Benny Davidovitch

We show that the concentration profiles in the subdiffusive system with a membrane, which separates a homogeneous solution from a pure solvent at an initial moment, has a general scaling form in the long time limit $C\sim t^\lambda…

Other Condensed Matter · Physics 2007-05-23 Tadeusz Kosztołowicz

Recently Jeong and Kim [Phys. Rev. E {\bf 66}, 051605 (2002)] investigated the scaling properties of equilibrium self-flattening surfaces subject to a restricted curvature constraint. In one dimension (1D), they found numerically that the…

Statistical Mechanics · Physics 2007-05-23 Hyunggyu Park

Using grand canonical Monte Carlo simulations, we investigate the percolation behavior of a square well fluid with an ultra-short range of attraction in three dimension (3D) and in confined geometry. The latter is defined through two…

Soft Condensed Matter · Physics 2012-11-07 Helge Neitsch , Sabine H. L. Klapp

The scaling of the growth of CdTe films on glass substrates was investigated by Mata \textit{et al.} [Phys. Rev. B \textbf{78}, 115305 (2008)]. Part of the analysis consisted of the estimation of the correlation length $\xi$ using the decay…

Materials Science · Physics 2015-03-17 Fábio S. Nascimento , Angélica S. Mata , Silvio C. Ferreira , Sukarno O. Ferreira

We study the screening length L_s of a heavy quark-antiquark pair in strongly coupled gauge theory plasmas flowing at velocity v. Using the AdS/CFT correspondence we investigate, analytically, the screening length in the ultra-relativistic…

High Energy Physics - Theory · Physics 2009-11-11 Elena Caceres , Makoto Natsuume , Takashi Okamura

The problem of consistency of smoothed particle hydrodynamics (SPH) has demanded considerable attention in the past few years due to the ever increasing number of applications of the method in many areas of science and engineering. A loss…

Numerical Analysis · Mathematics 2016-05-18 Leonardo Di G. Sigalotti , Jaime Klapp , Otto Rendón , Carlos A. Vargas , Franklin Peña-Polo

We demonstrate that a key elastic parameter of a suspended crystalline membrane---the Poisson ratio (PR) $\nu$---is a non-trivial function of the applied stress $\sigma$ and of the system size $L$, i.e., $\nu=\nu_L(\sigma)$. We consider a…

Mesoscale and Nanoscale Physics · Physics 2018-05-01 I. S. Burmistrov , I. V. Gornyi V. Yu. Kachorovskii , M. I. Katsnelson , J. H. Los , A. D. Mirlin