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We study the two-dimensional (2D) shear flow of amorphous solids within variants of an elastoplastic model, paying particular attention to spatial correlations and time fluctuations of, e.g., local stresses. The model is based on the local…

Soft Condensed Matter · Physics 2014-03-27 Alexandre Nicolas , Kirsten Martens , Lydéric Bocquet , Jean-Louis Barrat

The nature of the amorphous state has been notably difficult to ascertain at the microscopic level. In addition to the fundamental importance of understanding the amorphous state, potential changes to amorphous structures as a result of…

Disordered Systems and Neural Networks · Physics 2020-07-30 A. Diver , O. Dicks , A. M. Elena , I. T. Todorov , K. Trachenko

We discuss how structural disorder and amorphization affects solid-state diffusion, and consider zirconolite as a currently important case study. By performing extensive molecular dynamics simulations, we disentangle the effects of…

Materials Science · Physics 2015-03-02 C. Yang , E. Zarkadoula , M. T. Dove , I. T. Todorov , T. Geisler , V. V. Brazhkin , K. Trachenko

A highly degenerate family of states [proposed in PRB 63, 134503 (2001)] is proven to really minimize the Hamiltonian of the fully frustrated XY model on a dice lattice. The harmonic fluctuations are shown to be no consequence for the…

Superconductivity · Physics 2009-11-10 S. E. Korshunov

The yielding transition of amorphous materials is studied with a two-dimensional Hamiltonian model that allows both shear and volume deformations. The model is investigated as a function of the relative value of the bulk modulus $B$ with…

Soft Condensed Matter · Physics 2022-01-05 E. A. Jagla

Crystalline membranes are one of the rare examples of bidimensional systems in which long-range order can stabilise an ordered phase in the thermodynamic limit. By a careful analysis of the Goldstone modes counting, we propose a symmetry…

Statistical Mechanics · Physics 2019-09-11 O. Coquand

Prolongating our previous paper on the Einstein relation, we study the motion of a particle diffusing in a random reversible environment when subject to a small external forcing. In order to describe the long time behavior of the particle,…

Probability · Mathematics 2018-06-25 Pierre Mathieu , Andrey Piatnitski

We investigate scalar-tensor theories where matter couples to the scalar field via a kinetically dependent conformal coupling. These models can be seen as the low-energy description of invariant field theories under a global Abelian…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-29 Philippe Brax , Patrick Valageas

We study the effects of the finite number of experimental data on the computation of a generalized fluctuation-dissipation relation around a nonequilibrium steady state of a Brownian particle in a toroidal optical trap. We show that the…

Statistical Mechanics · Physics 2015-05-27 Juan Ruben Gomez-Solano , Artem Petrosyan , Sergio Ciliberto

The possibility is investigated that competition between fluctuations at different symmetry-related ordering wave vectors may affect the quantum phase transition between a fermi liquid and a longitudinal spin density wave state, in…

Strongly Correlated Electrons · Physics 2010-02-22 A. J. Millis

The fluctuations in the particle size distribution for processes of fragmentation and aggregation are studied for stationary state regimes. The system is described in terms of a stochastic process over an adequate tree structure. The RMS…

chao-dyn · Physics 2009-10-28 Piero Olla

In a recent comment, M. Kosterlitz described how the discrepancy about the lack of broken translational symmetry in two dimensions - doubting the existence of 2D crystals - and the first computer simulations foretelling 2D crystals at least…

Statistical Mechanics · Physics 2017-03-27 Bernd Illing , Sebastian Frischi , Herbert Kaiser , Christian Klix , Georg Maret , Peter Keim

The structure and dynamics of steady state sedimentation of semi-concentrated ($\phi=0.10$) monodisperse spheres are studied in liquid fluidized beds. Laser turbidity and particle imaging methods are used to measure the particle velocity…

Fluid Dynamics · Physics 2007-09-11 P. N. Segrè , J. E. Davidheiser

The strain load $\Delta\gamma$ that triggers consecutive avalanches is a key observable in the slow deformation of amorphous solids. Its temporally averaged value $\langle \Delta\gamma \rangle$ displays a non-trivial system-size dependence…

Disordered Systems and Neural Networks · Physics 2021-01-15 Ezequiel E. Ferrero , Eduardo A. Jagla

We derive a set of isometric fluctuation relations, which constrain the order parameter fluctuations in finite-size systems at equilibrium and in the presence of a broken symmetry. These relations are exact and should apply generally to…

Statistical Mechanics · Physics 2015-06-23 D. Lacoste , P. Gaspard

The existence of a generalized fluctuation-dissipation theorem observed in simulations and experiments performed in various glassy materials is related to the concepts of local equilibration and heterogeneity in space. Assuming the…

Statistical Mechanics · Physics 2009-11-10 Ludovic Berthier

In many interesting physical settings, such as the vulcanization of rubber, the introduction of permanent random constraints between the constituents of a homogeneous fluid can cause a phase transition to a random solid state. In this…

Disordered Systems and Neural Networks · Physics 2009-10-31 Paul M. Goldbart

The importance of mesoscale fluctuations in flowing amorphous materials is widely accepted, without a clear understanding of their role. We propose a mean-field elastoplastic model that admits both stress and strain-rate fluctuations, and…

Soft Condensed Matter · Physics 2022-05-09 Timothy Ekeh , Étienne Fodor , Suzanne M. Fielding , Michael E. Cates

Supersolid is an exotic state of matter characterized by both superfluid properties and periodic particle density modulation, due to spontaneous breaking of U(1) gauge symmetry and spatial translation symmetry, respectively. For…

Quantum Gases · Physics 2024-12-31 Ze-Hong Guo , Qizhong Zhu

We present the theory of the effect of thermal fluctuations on commensurate "p x p" density wave ordering on the square lattice (p >= 3, integer). For the case in which this order is lost by a second order transition, we argue that the…

Strongly Correlated Electrons · Physics 2007-05-23 Adrian Del Maestro , Subir Sachdev