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Exterior calculus and moving frames are used to describe curved elastic shells. The kinematics follow from the Lie-derivative on forms whereas the dynamics via stress-forms.

Mathematical Physics · Physics 2015-06-26 Niels Sondergaard

Low-energy excitations play a key role in all condensed-matter systems, yet there is limited understanding of their nature in glasses, where they correspond to local rearrangements of groups of particles. Here we introduce an algorithm to…

Soft Condensed Matter · Physics 2024-08-27 Wencheng Ji , Massimo Pica Ciamarra , Matthieu Wyart

This study utilizes mathematical modeling to offer computational insights into biological heat transfer within elastic skin tissues. This heat transfer is driven by a moving heat source that relies on various relaxation times. Time delay…

Tissues and Organs · Quantitative Biology 2024-10-14 Abdelrahman A. Abbas , Ibrahim A. Abbas , Aboelnour N. Abdalla

We analyse the deformations of a cylindrical elastic body resulting from displacements in a varying gravitational field.

General Relativity and Quantum Cosmology · Physics 2024-01-31 Hamed Barzegar , Piotr T. Chruściel , Florian Steininger

We present experimental study of a topological excitation, {\it interface}, in a vertically vibrated layer of granular material. We show that these interfaces, separating regions of granular material oscillation with opposite phases, can be…

The soft character of organic materials leads to strong coupling between molecular nuclear and electronic dynamics. This coupling opens the way to control charge transport in organic electronic devices by inducing molecular vibrational…

This paper aims at mathematically modeling a new multi-physics conductivity imaging system incorporating mechanical vibrations simultaneously applied to an imaging object together with current injections. We perturb the internal…

Medical Physics · Physics 2014-05-20 Habib Ammari , Eunjung Lee , Hyeuknam Kwon , Jin Keun Seo , Eung Je Woo

The contribution to the low frequency internal friction and the thermal conductivity due to optically vibrating edge dislocation dipoles is calculated within the modified Granato-Lucke string model. The results are compared with the recent…

Disordered Systems and Neural Networks · Physics 2009-11-10 D. V. Churochkin , S. Sahling , V. A. Osipov

We present a computer simulation study of glassy and crystalline states using the standard Lennard-Jones interaction potential that is truncated at a finite cut-off distance, as is typical of many computer simulations. We demonstrate that…

Soft Condensed Matter · Physics 2016-04-19 Hideyuki Mizuno , Leonardo E. Silbert , Matthias Sperl , Stefano Mossa , Jean-Louis Barrat

Articulated objects like doors, drawers, valves, and tools are pervasive in our everyday unstructured dynamic environments. Articulation models describe the joint nature between the different parts of an articulated object. As most of these…

Robotics · Computer Science 2019-03-21 Yeshasvi Tirupachuri , Silvio Traversaro , Francesco Nori , Daniele Pucci

We propose a new mechanism of friction in resonantly driven vibrational systems. The form of the friction force follows from the time- and spatial-symmetry arguments. We consider a microscopic mechanism of this resonant force in…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Mark Dykman , Gianluca Rastelli , M. L. Roukes , Eva M. Weig

By using the finite element code ASTRA, the effect of vibrations on the melt flow in Bridgman crystal growth is investigated for the Earth and Space gravity conditions. It is found that the vibrations significantly decrease the width of…

Fluid Dynamics · Physics 2023-03-28 A. I. Fedyushkin , N. G. Bourago

Cross sections and rate coefficients for rovibronic excitation of the CH$^+$ ion by electron impact and dissociative recombination of CH$^+$ with electrons are evaluated using a theoretical approach combining an R-matrix method and…

Astrophysics of Galaxies · Physics 2025-11-25 Joshua Forer , Dávid Hvizdoš , Mehdi Ayouz , Chris H. Greene , Viatcheslav Kokoouline

The transmission coefficient for vibrational waves crossing an abrupt junction between two thin elastic plates of different widths is calculated. These calculations are relevant to ballistic phonon thermal transport at low temperatures in…

Mesoscale and Nanoscale Physics · Physics 2009-04-21 M. C. Cross , Ron Lifshitz

Analysis is given of the changes of dislocation motion modes with stress and temperature variation. Different regimes of dislocation kink pair formation and spreading (motion in the random potential, in the field of random forces, the…

Materials Science · Physics 2007-05-23 Yu. L. Iunin , V. I. Nikitenko

A microscopic model for thermal excitation of vibrational ground state of a molecule interacting with a condensed medium is developed. The master equation for evolution of occupancies of the vibrational levels is derived. The rate constant…

Statistical Mechanics · Physics 2011-03-04 V. I. Teslenko , D. Y. Iatsenko

Linearised relativistic elasticity equations of motion are considered for a rod and a spinning ring encountering a gravitational wave. In the case of the rod, the equations reduce to a wave equation with appropriate boundary conditions.…

General Relativity and Quantum Cosmology · Physics 2025-02-28 José Natário , Amol Sasane , Rodrigo Vicente

For objects of "large" vibration size such as waves on the sea surface, the choice of measurement method can create different understandings of system behavior. In one case, laser vibrometry measurements of a vibrating bar in a controlled…

Instrumentation and Detectors · Physics 2021-02-23 Michael C. Kobold , Michael McKinley

One of the methods to find the natural frequencies of rotating systems is the application of the transfer matrix method. In this method the rotor is modeled as several elements along the shaft which have their own mass and moment of…

Soft nanosystems are electronic nanodevices, such as suspended carbon nanotubes or molecular junctions, whose transport properties are modulated by soft internal degrees of freedom, for example slow vibrational modes. In this review,…

Mesoscale and Nanoscale Physics · Physics 2016-03-24 A. Nocera , C. A. Perroni , V. Marigliano Ramaglia , V. Cataudella