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A minimal model is constructed for two-dimensional fracture propagation. The heterogeneous process zone is presumed to suppress stress relaxation rate, leading to non-quasistatic behavior. Using the Yoffe solution, I construct and solve a…

Condensed Matter · Physics 2009-10-28 Raphael Blumenfeld

We examine the network of forces to be expected in a static assembly of hard, frictionless spherical beads of random sizes, such as a colloidal glass. Such an assembly is minimally connected: the ratio of constraint equations to contact…

Soft Condensed Matter · Physics 2009-10-31 Alexei V. Tkachenko , Thomas A. Witten

We study the perturbative dynamics of an infinite gravitating Nambu-Goto string within the general-relativistic perturbation framework. We develop the gauge invariant metric perturbation on a spacetime containing a self-gravitating straight…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Kouji Nakamura , Akihiro Ishibashi , Hideki Ishihara

The scope of the paper is the theoretical analysis of the time rate in which a dynamical system reaches a stable stationary state or stable oscillations. The method used for the analysis is based on the so-called iterative time profiles,…

General Mathematics · Mathematics 2026-02-10 Marek Berezowski , Katarzyna Bizon

A linear defect, viz. an elastic string, diffusing on a planar substrate traversed by a travelling wave experiences a drag known as Stokes' drift. In the limit of an infinitely long string, such a mechanism is shown to be characterized by a…

Statistical Mechanics · Physics 2009-11-07 F. Marchesoni , M. Borromeo

Theoretical and experimental results for in-plane vibrations of a uniform rectangular plate with free boundary conditions are obtained. The experimental setup uses electromagnetic-acoustic transducers and a vector network analyzer. The…

Other Condensed Matter · Physics 2016-02-22 A. Arreola-Lucas , J. A. Franco-Villafañe , G. Báez , R. A. Méndez-Sánchez

We discuss the temporal distribution of dynamic processes in driven polymer transport inherent to flexible chains due to stochastic tension propagation. The stochasticity originates from the disordered initial configuration of an…

Soft Condensed Matter · Physics 2015-06-03 Takuya Saito , Takahiro Sakaue

We study the dynamics of a flexible fiber freely moving in a three-dimensional fully-developed turbulent field and present a phenomenological theory to describe the interaction between the fiber elasticity and the turbulent flow. This…

Fluid Dynamics · Physics 2018-08-01 Marco Edoardo Rosti , Arash Alizad Banaei , Luca Brandt , Andrea Mazzino

We investigate the propagation of transverse elastic waves in crumpled media. We set up the wave equation for transverse waves on a generic curved, strained surface via a Langrangian formalism and use this to study the scaling behaviour of…

Materials Science · Physics 2009-11-07 Ajay Gopinathan , T. A. Witten , S. C. Venkataramani

We review the basics of the dynamics of closed strings moving along the discretized line \Z. The string excitations are described by a field \phi_x(\tau) where x is the position of the string in the embedding space and \tau is a…

High Energy Physics - Theory · Physics 2007-05-23 Ivan K. Kostov

We study the effects of friction on the scaling evolution of string networks in condensed matter and cosmological contexts. We derive a generalized `one-scale' model with the string correlation length $L$ and velocity $v$ as dynamical…

High Energy Physics - Phenomenology · Physics 2016-09-01 C. J. A. P. Martins , E. P. S. Shellard

The stress response of a granular assembly subject to different changes of boundary conditions is studied experimentally in order to define the stress propagation characteristics. These results demonstrate that no simple and single…

Soft Condensed Matter · Physics 2007-05-23 P. Evesque

Every university introductory physics course considers the problem of Atwood's machine taking into account the mass of the pulley. In the usual treatment the tensions at the two ends of the string are offhandedly taken to act on the pulley…

Classical Physics · Physics 2018-04-18 Thiago R. de Oliveira , Nivaldo A. Lemos

We study the evolution of an elastic string into the pinned state at driving forces slightly below the depinning threshold force $F_c$. We quantify the temporal evolution of the string by an {\it activity function} $A(t)$ representing the…

Disordered Systems and Neural Networks · Physics 2007-05-23 G. K. Leaf , S. Obukhov , S. Scheidl , V. M. Vinokur

We examine theoretically and numerically fast propagation of a tensile crack along unidimensional strips with periodically evolving toughness. In such dynamic fracture regimes, crack front waves form and transport front disturbances along…

Statistical Mechanics · Physics 2021-02-23 Alizée Dubois , Daniel Bonamy

The problem of partially hinged and partially free rectangular plate that aims to represent a suspension bridge subject to some external forces (for example the wind) is considered in order to model and simulate the unstable end behavior.…

Numerical Analysis · Mathematics 2024-04-17 Raj Narayan Dhara , Krzysztof E. Rutkowski , Katarzyna Szulc

We consider the propagation of classical and quantum strings on cosmological space-times which interpolate from a collapsing phase to an expanding phase. We begin by considering the classical propagation of strings on space-times with…

High Energy Physics - Theory · Physics 2009-11-11 Andrew J. Tolley

Field-theoretical method is proposed, that yields analytical expression for lateral pressure distribution across hydrophobic core of a bilayer lipid membrane. Lipid molecule, repelling entropicaly surrounding neighbors, is modeled as a…

Soft Condensed Matter · Physics 2007-05-23 Sergei I. Mukhin , Svetlana V. Baoukina

We study the transient dynamics of a viscous liquid contained in a narrow gap between a rigid surface and a parallel elastic plate. The elastic plate is deformed due to an externally applied time-varying pressure-field. We model the…

Fluid Dynamics · Physics 2017-05-16 Arie Tulchinsky , Amir D. Gat

We observe the dynamics of waves propagating on the surface of a ferrofluid under the influence of a spatially and temporarily modulated field. In particular, we excite plane waves by a travelling lamellar modulation of the magnetization.…

Other Condensed Matter · Physics 2009-11-13 A. Beetz , C. Gollwitzer , R. Richter , I. Rehberg