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The dry frictional contact between two solid surfaces is well-known to obey Coulomb friction laws. In particular, the static friction force resisting the relative lateral (tangential) motion of solid surfaces, initially at rest, is known to…

Statistical Mechanics · Physics 2010-11-16 Jean-Christophe Géminard , Eric Bertin

Via molecular dynamics simulations, we study the kinetics in a phase separating active matter model. Quantitative results for the isotropic bicontinuous pattern formation, its growth and aging, studied, respectively, via the two-point…

Soft Condensed Matter · Physics 2016-05-27 Subir K. Das

Recent studies on the phenomenology of ageing in certain many-particle systems which are at a critical point of their non-equilibrium steady-states, are reviewed. Examples include the contact process, the parity-conserving…

Statistical Mechanics · Physics 2007-05-23 Malte Henkel

When an oscillator switches abruptly between different frequencies, there is some ambiguity in deciding how the system should be modelled at the switch. Here we describe two seemingly natural models of a switch in a simple…

Dynamical Systems · Mathematics 2022-12-28 Carles Bonet , Mike R. Jeffrey , Pau Martín , Josep M. Olm

This article is concerned with the rigorous validation of anomalous spreading speeds in a system of coupled Fisher-KPP equations of cooperative type. Anomalous spreading refers to a scenario wherein the coupling of two equations leads to…

Analysis of PDEs · Mathematics 2015-07-22 Matt Holzer

The apparantly irregular (unpredictable) space-time fluctuations in atmospheric flows ranging from climate (thousands of kilometers - years) to turbulence (millimeters - seconds) exhibit the universal symmetry of self-similarity.…

General Physics · Physics 2007-05-23 J. S. Pethkar , A. M. Selvam

Existing theories for the evolution of aging and death treat senescence as a side-effect of strong selection for fertility. These theories are well-developed mathematically, but fit poorly with emerging experimental data. The data suggest…

Populations and Evolution · Quantitative Biology 2007-05-23 Josh Mitteldorf

Disordered systems generically exhibit aging and a glass transition. Previous studies have long suggested that non-reciprocity tends to destroy glassiness. Here, we show that this is not always the case using a bipartite spherical…

Disordered Systems and Neural Networks · Physics 2025-11-11 Giulia Garcia Lorenzana , Ada Altieri , Giulio Biroli , Michel Fruchart , Vincenzo Vitelli

A continuum model for growth of solids is developed, considering adatom deposition, surface diffusion, and configuration dependent incorporation rate. For amorphous solids it is related to surface energy densities. The high adatom density…

Statistical Mechanics · Physics 2007-05-23 Martin Rost

Deterministic and stochastic coupled oscillators with inertia are studied on the rectangular lattice under the shear-velocity boundary condition. Our coupled oscillator model exhibits various nontrivial phenomena and there are various…

Statistical Mechanics · Physics 2024-09-05 Hidetsugu Sakaguchi

A mechanism of point defect migration triggered by local depolarization fields is shown to explain some still inexplicable features of aging in acceptor doped ferroelectrics. A drift-diffusion model of the coupled charged defect transport…

Materials Science · Physics 2009-11-13 Yuri A. Genenko

We show that for a family of problems described by non-linear diffusion equations an exact calculation of the two time correlation function gives C(t,t')=f(t-t')g(t'), t>t', exhibiting normal and anomalous diffusions, as well as aging…

Condensed Matter · Physics 2009-10-28 Daniel A. Stariolo

A natural example of evolution can be described by a time-dependent two degrees-of-freedom Hamiltonian. We choose the case where initially the Hamiltonian derives from a general cubic potential, the linearised system has frequencies 1 and…

Dynamical Systems · Mathematics 2021-11-03 Ferdinand Verhulst

In this paper, we review the general features of the out-of-equilibrium dynamics of spin glasses. We use this example as a guideline for a brief description of glassy dynamics in other disordered systems like structural and polymer glasses,…

Disordered Systems and Neural Networks · Physics 2009-11-03 Eric Vincent

Systems brought out of equilibrium through a rapid quench from a disordered initial state into an ordered phase undergo physical aging in the form of phase-ordering kinetics, with characteristic dynamical scaling. In many systems, notably…

Statistical Mechanics · Physics 2025-01-10 Henrik Christiansen , Suman Majumder , Wolfhard Janke , Malte Henkel

Statically indeterminate systems are experimentally demonstrated to be in fact dynamical at the microscopic scale. Take the classic ladder-wall problem, for instance. Depending on the Young's modulus of the wall, it may take up to twenty…

Soft Condensed Matter · Physics 2022-11-09 Jr-Jiun Lin , Chi-Chun Cheng , Yu-Chuan Cheng , Jih-Chiang Tsai , Tzay-Ming Hong

Symmetries as well as other special conditions can cause anomalous slowing down of fidelity decay. These situations will be characterized, and a family of random matrix models to emulate them generically presented. An analytic solution…

Chaotic Dynamics · Physics 2009-11-11 T. Gorin , H. Kohler , T. Prosen , T. H. Seligman , H. -J. Stoeckmann , M. Znidaric

In a variety of systems which exhibit aging, the two-time response function scales as $R(t,s)\approx s^{-1-a} f(t/s)$. We argue that dynamical scaling can be extended towards conformal invariance, obtaining thus the explicit form of the…

High Energy Physics - Theory · Physics 2012-10-18 Malte Henkel , Michel Pleimling , Claude Godreche , Jean-Marc Luck

In this work we show that under specific anomalous diffusion conditions, chemical systems can produce well-ordered self-similar concentration patterns through a diffusion-driven instability. We also find spiral patterns and patterns with…

Pattern Formation and Solitons · Physics 2017-02-22 D. Hernández , E. C. Herrera-Hernández , M. Núñez-López , H. Hernández-Coronado

The appearance of so-called exceptional points in the complex spectra of non-Hermitian systems is often associated with phenomena that contradict our physical intuition. One example of particular interest is the state-exchange process…

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