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We briefly introduce the generic framework of Disordered Elastic Systems (DES), giving a short `recipe' of a DES modeling and presenting the quantities of interest in order to probe the static and dynamical disorder-induced properties of…

Disordered Systems and Neural Networks · Physics 2012-06-29 Elisabeth Agoritsas , Vivien Lecomte , Thierry Giamarchi

We determine quantum precision limits for estimation of damping constants and temperature of lossy bosonic channels. A direct application would be the use of light for estimation of the absorption and the temperature of a transparent slab.…

Quantum Physics · Physics 2020-09-16 Jiaxuan Wang , Luiz Davidovich , Girish Saran Agarwal

We propose an approach to measure surface elastic constants of soft solids. Generally, this requires one to probe interfacial mechanics at around the elastocapillary length scale, which is typically microscopic. Deformations of microscopic…

Soft Condensed Matter · Physics 2022-03-02 Stefanie Heyden , Petia M. Vlahovska , Eric R. Dufresne

In this paper, we study the thermo-elastodynamics of nonlinearly viscous solids in the Kelvin-Voigt rheology where both the elastic and the viscous stress tensors comply with the frame-indifference principle. The system features a force…

Analysis of PDEs · Mathematics 2024-09-04 S. Almi , R. Badal , M. Friedrich , S. Schwarzacher

We describe a liquid-cryogen free cryostat with ultra-low vibration levels which allows for continuous operation of a torsion balance at cryogenic temperatures. The apparatus uses a commercially available two-stage pulse-tube cooler and…

Instrumentation and Detectors · Physics 2022-11-10 S. M. Fleischer , M. P. Ross , K. Venkateswara , C. A. Hagedorn , E. A. Shaw , E. Swanson , B. R. Heckel , J. H. Gundlach

Thermal noise is expected to be one of the noise sources limiting the astrophysical reach of Advanced LIGO (once commissioning is complete) and third-generation detectors. Adopting crystalline materials for thin, reflecting mirror coatings,…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Geoffrey Lovelace , Nicholas Demos , Haroon Khan

Using very long molecular dynamics simulation runs, temperature protocols spanning up to five orders of magnitude in time-scales are performed to investigate thermally activated structural relaxation in a model amorphous solid. The…

Materials Science · Physics 2017-10-11 P. M. Derlet , R. Maass

We derive expressions for classical isothermal and adiabatic elastic constants for periodic systems with the boundary contributions included explicitly. The potential-dependent part of these expressions is written in terms of potential…

Materials Science · Physics 2022-10-19 Andrey Pereverzev

We aimed to use finite element method to simulate the unique behaviors of liquid crystal elastomer, such as semi-soft elasticity, stripe domain instabilities etc. We started from an energy functional with the 2D Bladon-Warner-Terentjev…

Numerical Analysis · Mathematics 2010-09-10 Chong Luo , Maria-Carme Calderer

We study non-equilibrium steady states and recurrence times in noisy, stroboscopically monitored qubit systems using complete measurements. In the noiseless limit, recurrence times are integer-quantized, with dips to lower integers when…

Statistical Mechanics · Physics 2026-03-20 Shuanger Ma , Sabine Tornow , Eli Barkai

We propose to analyse the discretization of the Stokes problem with nonconforming finite elements in light of the T-coercivity (cf. [1] for Helmholtz-like problems, see [2], [3] and [4] for the neutron diffusion equation). We propose…

Analysis of PDEs · Mathematics 2022-11-03 Erell Jamelot

In this work, we review and analyze both the theoretical and numerical aspects of strongly and weakly coupled thermoelastic systems. By employing spectral analysis techniques and establishing uniform resolvent estimates, we derive uniform…

Numerical Analysis · Mathematics 2026-02-26 I. Essadeq , S. Nafiri , S. Benjelloun , A. E. Fettouh

A paradigm for isothermal, mechanical rectification of stochastic fluctuations is introduced in this paper. The central idea is to transform energy injected by random perturbations into rigid-body rotational kinetic energy. The prototype…

Probability · Mathematics 2007-10-18 Nawaf Bou-Rabee , Houman Owhadi

In this work, a consistent viscoplasticity formulation is derived from thermodynamical principles and employing the concept of continuum elastic corrector rate. The proposed model is developed based on the principle of maximum viscoplastic…

Soft Condensed Matter · Physics 2020-09-28 Khanh Nguyen , Victor J. Amores , Francisco J. Montans

In this work we aim to study the effect of temperature on the mechanical properties of a solid. For this, we have introduced a new first-principles based methodology to obtain the thermal variation of the elastic constants of NiTiSn, a…

Materials Science · Physics 2020-02-07 P. Hermet , J. Haines , D. Granier , M. Tillard , P. Jund

This paper proposes a finite element method that couples mixed and Lagrange finite elements to efficiently capture stress concentrations in elasticity problems. The method employs conforming mixed finite elements in regions with stress…

Numerical Analysis · Mathematics 2026-04-21 Wei Chen , Jun Hu , Limin Ma , Mingyan Zhang

Linear dielectric thermodynamics are formally developed to explore the isothermal and adiabatic temperature - pressure dependence of dielectric constants. The refractive index of optical materials is widely measured in the literature: it is…

Materials Science · Physics 2023-11-15 S. J. Burns

We discuss the use of a Langevin equation with a colored (correlated) noise to perform constant-temperature molecular dynamics simulations. Since the equations of motion are linear in nature, it is easy to predict the response of a…

Statistical Mechanics · Physics 2010-01-04 Michele Ceriotti , Giovanni Bussi , Michele Parrinello

The methods of density-functional perturbation theory may be used to calculate various physical response properties of insulating crystals including elastic, dielectric, Born charge, and piezoelectric tensors. These and other important…

Materials Science · Physics 2009-12-18 Xifan Wu , David Vanderbilt , D. R. Hamann

We present an adjoint-based method for the calculation of eigenvalue perturbations in nonlinear, degenerate and non self-adjoint eigenproblems. This method is applied to a thermo-acoustic annular combustor network, the stability of which is…

Fluid Dynamics · Physics 2016-08-05 Luca Magri , Michael Bauerheim , Matthew Juniper