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Superconducting cosmic strings can exhibit longitudinal, pinching instabilities in some regions of the parameter space. We make predictions about the onset of this instability using the thin string approximation (TSA) and develop an…

High Energy Physics - Phenomenology · Physics 2023-03-29 R. A. Battye , S. J. Cotterill

Studies of ${\cal N}=4$ super Yang Mills operators with large R-charge have shown that, in the planar limit, the problem of computing their dimensions can be viewed as a certain spin chain. These spin chains have fundamental ``magnon''…

High Energy Physics - Theory · Physics 2009-11-11 Diego M. Hofman , Juan Maldacena

We study the diffusion of massive particles in the space time of an Abelian Higgs string. The particles in the early universe plasma execute Brownian motion. This motion of the particles is modeled as a two dimensional random walk in the…

High Energy Physics - Phenomenology · Physics 2018-03-28 Abhisek Saha , Soma Sanyal

Within a model where micrometer-size soft colloidal particles are viewed as liquid drops, we theoretically study the contact interaction between them. We compute the exact deformation energy across a broad range of indentations and for…

Soft Condensed Matter · Physics 2025-11-04 Fran Ivan Vrban , Antonio Šiber , Primož Ziherl

Strain in granular materials in quasistatic conditions under varying stress originate in (I) contact deformation and (II) rearrangements of the contact network. Depending on sample history and applied load, either mechanism might dominate.…

Soft Condensed Matter · Physics 2009-01-16 Jean-Noël Roux

A lattice-based model for continuum percolation is applied to the case of randomly located, partially aligned sticks with unequal lengths in 2D which are allowed to cross each other. Results are obtained for the critical number of sticks…

Statistical Mechanics · Physics 2024-10-17 Avik P. Chatterjee , Yuri Yu. Tarasevich

This work is concerned with the purely dissipative version of a well-established model of rate-independent strain-gradient plasticity. In the conventional theory of plasticity the approach to determining plastic flow is local, and based on…

Classical Physics · Physics 2020-08-26 B. D. Reddy , S. Sysala

We consider the evolution of a network of strings in an expanding universe, allowing for the formation of junctions between strings of different tensions. By explicitly including, in the velocity-dependent evolution equations for the…

High Energy Physics - Phenomenology · Physics 2010-04-06 A. Avgoustidis , E. J. Copeland

We describe a simple meanfield variational approach to study a number of properties of intrinsically stiff chains which are appropriate models for a large class of biopolymers. We present the calculation of the distribution of end-to-end…

Soft Condensed Matter · Physics 2008-02-03 D. Thirumalai , B. -Y. Ha

We present a minimalistic approach to simulations of force transmission through granular systems. We start from a configuration containing cohesive (tensile) contact forces and use an adaptive procedure to find the stable configuration with…

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

A partially-wetting liquid can deform the underlying elastic substrate upon which it rests. This situation requires the development of theoretical models to describe the wetting forces imparted by the drop onto the solid substrate,…

Soft Condensed Matter · Physics 2014-05-02 Joshua B. Bostwick , Michael Shearer , Karen E. Daniels

We compare two high order finite-difference methods that solve the elastic wave equation in two dimensional domains with curved boundaries and material discontinuities. Two numerical experiments are designed with focus on wave boundary…

Numerical Analysis · Mathematics 2015-11-25 Kristoffer Virta , Christopher Juhlin , Gunilla Kreiss

We study the vibrations of a hanging thin flexible rod, in which the dominant restoring force in most of the domain is tension due to the weight of the rod, while bending elasticity plays a small but non-negligible role. We consider a…

Classical Analysis and ODEs · Mathematics 2010-08-12 Yossi Farjoun , David G. Schaeffer

We study the system of equations of motion for inextensible strings. This system possesses many internal symmetries, and is related to discontinuous systems of conservation laws and the total variation wave equation. We prove existence of…

Analysis of PDEs · Mathematics 2015-02-27 Yasemin Şengül , Dmitry Vorotnikov

Based on the recently considered classical string configurations, in the framework of the semi-classical limit of the string/gauge theory correspondence, we describe a procedure for obtaining exact classical string solutions in general…

High Energy Physics - Theory · Physics 2007-05-23 D. Aleksandrova , P. Bozhilov

We study the occurrence of cuspy events on a light string stretched between two Y-junctions with fixed heavy strings. We first present an analytic study and give a solid criterion to discriminate between cuspy and non-cuspy string…

High Energy Physics - Theory · Physics 2015-03-20 Thomas Elghozi , William Nelson , Mairi Sakellariadou

This paper deals with the problem of string stability in a chain of acceleration-controlled vehicles, i.e. how input disturbances affect the distributed system for very long chains. There exist variants of string stability, like avoiding…

Optimization and Control · Mathematics 2018-10-31 Arash Farnam , Alain Sarlette

The Shuttleworth equation: a linear stress-strain relation ubiquitously used in modeling the behavior of soft surfaces. Its validity in the realm of materials subject to large deformation is a topic of current debate. Here, we allow for…

Soft Condensed Matter · Physics 2024-05-16 Stefanie Heyden , Nicolas Bain

We introduce an approximate model for predicting the net contact wrench between nominally rigid objects for use in simulation, control, and state estimation. The model combines and generalizes two ideas: a bed of springs (an "elastic…

Computational Engineering, Finance, and Science · Computer Science 2019-08-07 Ryan Elandt , Evan Drumwright , Michael Sherman , Andy Ruina

Wire actuation in tendon-driven continuum robots enables the transmission of force from a distance, but it is understood that tension control problems can arise when a pulley is used to actuate two cables in a push-pull mode. This paper…

Robotics · Computer Science 2022-11-08 Hojin Seo , Yeoun-Jae Kim , Jaesoon Choi , Youngjin Moon
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