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Related papers: Creep motion of an elastic string in a random pote…

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We investigate the propagation of a slip front in a visco-elastic body on a rigid substrate. The body is one-dimensional, and the loading stress is applied at one end. By employing a local friction law that has a quadratic form of the slip…

Fluid Dynamics · Physics 2019-11-01 Takehito Suzuki , Hiroshi Matsukawa

The statistical mechanics of a ribbon polymer made up of two semiflexible chains is studied using both analytical techniques and simulation. The system is found to have a crossover transition at some finite temperature, from a type of short…

Soft Condensed Matter · Physics 2009-10-31 Ramin Golestanian , Tanniemola B. Liverpool

We have studied numerically the dynamics of a driven elastic interface in a random medium, focusing on the thermal rounding of the depinning transition and on the behavior in the $T=0$ pinned phase. Thermal effects are quantitatively more…

Condensed Matter · Physics 2009-10-22 Lee-Wen Chen , M. Cristina Marchetti

We make use of continuum elasticity theory to investigate the collective modes that propagate along the edge of a two-dimensional electron liquid or crystal in a magnetic field. An exact solution of the equations of motion is obtained with…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Irene D'Amico , Giovanni Vignale

We study the internal dynamical processes taking place in a granular packing below yield stress. At all packing fractions and down to vanishingly low applied shear, a logarithmic creep is evidenced. The experiments are analyzed under the…

Soft Condensed Matter · Physics 2011-06-28 Van Bau Nguyen , Thierry Darnige , Ary Bruand , Eric Clement

We simulate the low temperature behaviour of an elastic chain in a random potential where the displacements $u(x)$ are confined to the {\it longitudinal} direction ($u(x)$ parallel to $x$) as in a one dimensional charge density wave--type…

Condensed Matter · Physics 2009-10-22 Steven Spencer , Henrik Jeldoft Jensen

A perturbed system relaxes towards an equilibrium given by a minimum in the potential energy landscape. This often occurs by thermally activated jumps over metastable states. The corresponding dynamics is named creep and follows Arrhenius'…

The depinning transition of a front moving in a time-independent random potential is studied. The temporal development of the overall roughness w(L,t) of an initially flat front, $w(t)\propto t^\beta$, is the classical means to have access…

Disordered Systems and Neural Networks · Physics 2009-10-31 S. Krishnamurthy , A. Tanguy , S. Roux

Creep is defined as time-dependent deformation and rupture processes taking place within a material subjected to a constant applied stress smaller than its athermal, time-independent strength. This time-dependence is classically attributed…

Soft Condensed Matter · Physics 2023-02-24 Jerome Weiss , David Amitrano

We consider numerically the roughness of a planar crack front within the long-range elastic string model, with a tunable disorder correlation length $\xi$. The problem is shown to have two important length scales, $\xi$ and the Larkin…

Statistical Mechanics · Physics 2015-05-20 Lasse Laurson , Stefano Zapperi

Very thin elastic sheets, even at zero temperature, exhibit nonlinear elastic response by virtue of their dominant bending modes. Their behavior is even richer at finite temperature. Here we use molecular dynamics (MD) to study the…

Soft Condensed Matter · Physics 2022-06-28 Zhitao Chen , Duanduan Wan , Mark J. Bowick

We consider the enstrophy cascade in forced two-dimensional turbulence with a linear drag force. In the presence of linear drag, the energy wavenumber spectrum drops with a power law faster than in the case without drag, and the vorticity…

Soft Condensed Matter · Physics 2009-11-11 Yue-Kin Tsang , Edward Ott , Thomas M. Antonsen , Parvez N. Guzdar

We study numerically the depinning transition of driven elastic interfaces in a random-periodic medium with localized periodic-correlation peaks in the direction of motion. The analysis of the moving interface geometry reveals the existence…

Disordered Systems and Neural Networks · Physics 2010-10-20 S. Bustingorry , A. B. Kolton , T. Giamarchi

We study the roughening of $d$-dimensional directed elastic interfaces subject to quenched random forces. As in the Larkin model, random forces are considered constant in the displacement direction and uncorrelated in the perpendicular…

Disordered Systems and Neural Networks · Physics 2019-03-07 V. H. Purrello , J. L. Iguain , A. B. Kolton

We investigate propagating fronts in disordered media that belong to the universality class of wetting contact lines and planar tensile crack fronts. We derive from first principles their nonlinear equations of motion, using the generalized…

Materials Science · Physics 2008-04-21 E. Katzav , M. Adda-Bedia , M. Ben Amar , A. Boudaoud

We show that the roughness exponent zeta of an in-plane crack front slowly propagating along a heterogeneous interface embeded in a elastic body, is in full agreement with a correlated percolation problem in a linear gradient. We obtain…

Condensed Matter · Physics 2009-11-07 Jean Schmittbuhl , Alex Hansen , G. George Batrouni

Creep is a time-dependent deformation of solids at relatively low stresses, leading to the breakdown with time. Here we propose a simple model for creep failure of disordered solids, in which temperature and stress are controllable. Despite…

Disordered Systems and Neural Networks · Physics 2020-05-06 Subhadeep Roy , Takahiro Hatano

We measure the roughness exponent and the correlation length exponent of a stress-weighted percolation process in the central force model in 2D. The roughness exponent is found to be zeta = 0.75 \pm 0.03 and the correlation length exponent…

Statistical Mechanics · Physics 2007-05-23 Jan Øystein Haavig Bakke , Thomas Ramstad , Alex Hansen

We investigate the quasi-static growth of elastic fibers in the presence of dry or viscous friction. An unusual form of destabilization beyond a critical length is described. In order to characterize this phenomenon, a new definition of…

Applied Physics · Physics 2018-06-20 Marcell G. Horváth , András Á. Sipos , Péter L. Várkonyi

We study the motion of elastic networks driven over a random substrate. Our model which includes local friction forces leads to complex dynamical behavior. We find a transition to a sliding state which belongs to a new universality class.…

Statistical Mechanics · Physics 2015-06-25 Itzhak Webman , Jose Luis Gruver , Shlomo Havlin
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