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The motion of weights attached to a chain or string moving on a frictionless pulley is a classic problem of introductory physics used to understand the relationship between force and acceleration. Here, we consider the dynamics of the chain…

Soft Condensed Matter · Physics 2016-06-30 Pierre-Thomas Brun , Basile Audoly , Alain Goriely , Dominic Vella

We discuss a new class of string and p-brane models where the string/brane tension appears as an additional dynamical degree of freedom instead of being introduced by hand as an ad hoc dimensionfull scale. The latter property turns out to…

High Energy Physics - Theory · Physics 2011-09-27 Eduardo Guendelman , Alexander Kaganovich , Emil Nissimov , Svetlana Pacheva

We propose a theoretical framework for dealing with a transient polymer network undergoing small deformations, based on the rate of breaking and re-forming of network crosslinks and the evolving elastic reference state. In this framework,…

Soft Condensed Matter · Physics 2016-04-27 Fanlong Meng , Robyn H. Pritchard , Eugene M. Terentjev

We study the motion of a 1-D closed elastic string with bending and stretching energy immersed in a 2-D Stokes flow. In this paper we introduce the curve's tangent angle function and the stretching function to describe the deferent…

Analysis of PDEs · Mathematics 2020-11-12 Hui Li

In the critical bosonic string theory, we explicitly evaluate the three point scattering amplitude at tree level, of a photon with two massive higher spins. The massive excitations belong to states of the form $A_{-r_1}^{s_1}…

High Energy Physics - Theory · Physics 2025-11-11 Diptarka Das , Santanu Mandal , Anurag Sarkar

We investigate the new special class of the finite string on a plane, after the reduction from the relativistic $4D$ case. The suggested special form of the phase space allows to define the extended Galilei group as a group of the space -…

Mathematical Physics · Physics 2016-06-10 S. V. Talalov

We study the behaviour of a thin fluid filament (a rivulet) flowing in an air-filled Hele-Shaw cell. Transverse and longitudinal deformations can propagate on this rivulet, although both are linearly attenuated in the parameter range we…

Fluid Dynamics · Physics 2026-02-02 Grégoire Le Lay , Adrian Daerr

Treatises on vibrations devote large space to study the dynamical behavior of an elastic system subject to known external tractions. In fact, usually a "system" is not an isolated body but it is part of a chain of mechanisms which disturb…

Optimization and Control · Mathematics 2012-06-15 Luciano Pandolfi

We study the effect of mergers in the force chain model describing the stress profile in static granular materials. Combining numerical and analytical calculations we show that granular materials do not generally behave in an elastic-like…

Soft Condensed Matter · Physics 2009-11-10 Yael Roichman , Dov Levine , Irad Yavneh

When the frequencies of the elastic and pendular oscillations of an elastic pendulum or swinging spring are in the ratio two-to-one, there is a regular exchange of energy between the two modes of oscillation. We refer to this phenomenon as…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 Peter Lynch , Conor Houghton

We use Langevin dynamics simulations to study dynamical behaviour of a dense planar layer of active semi-flexible filaments. Using the strength of active force and the thermal persistence length as parameters, we map a detailed phase…

Soft Condensed Matter · Physics 2018-02-21 K. R. Prathyusha , Silke Henkes , Rastko Sknepnek

Under an applied external load the global load-sharing fiber bundle model, with individual fiber strength thresholds sampled randomly from a probability distribution, will relax to an equilibrium state, or to complete bundle breakdown. The…

Statistical Mechanics · Physics 2010-09-20 Srutarshi Pradhan , Per C. Hemmer

Using molecular dynamics simulations in a planar graphene sheet, we investigate the temperature dependence of its mechanical behavior under uniaxial tensile stress applied either along the armchair or the zigzag direction. Stress-strain…

Materials Science · Physics 2025-10-28 Sané Erasmus , Charalampos Skokos , George Kalosakas

Static or frozen disorder, characterised by spatial heterogeneities, influences diverse complex systems, encompassing many-body systems, equilibrium and nonequilibrium states of matter, intricate network topologies, biological systems, and…

Disordered Systems and Neural Networks · Physics 2025-03-24 M. Ahumada , L. Trujillo , J. F. Marín

Understanding the geometry of learned distributions is fundamental to improving and interpreting diffusion models, yet systematic tools for exploring their landscape remain limited. Standard latent-space interpolations fail to respect the…

Machine Learning · Statistics 2026-02-26 Elio Moreau , Florentin Coeurdoux , Grégoire Ferre , Eric Vanden-Eijnden

The supporting worldsheet of a string, membrane, or other higher dimensional brane, is analysed in terms of its first, second, and third fundamental tensors, and its inner and outer curvature tensors. The dynamical equations governing the…

High Energy Physics - Theory · Physics 2007-05-23 Brandon Carter

An experimental analysis of the vortex-induced vibrations of a hanging string with variable tension along its length is presented in this paper. It is shown that standing waves develop along the hanging string. The evolution of the Strouhal…

Spreading processes on top of active dynamics provide a novel theoretical framework for capturing emerging collective behavior in living systems. I consider run-and-tumble dynamics coupled with coagulation/decoagulation reactions that lead…

Statistical Mechanics · Physics 2025-05-29 Matteo Paoluzzi

A partially hinged, partially free rectangular plate is considered, with the aim to address the possible unstable end behaviors of a suspension bridge subject to wind. This leads to a nonlinear plate evolution equation with a nonlocal…

Analysis of PDEs · Mathematics 2020-07-06 Denis Bonheure , Filippo Gazzola , Irena Lasiecka , Justin T. Webster

We study the non--equilibrium motion of an elastic string in a two dimensional pinning landscape using Langevin dynamics simulations. The relaxation of a line, initially flat, is characterized by a growing length, $L(t)$, separating the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alejandro Kolton , Alberto Rosso , Thierry Giamarchi