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We study the time evolution of perturbations in spatially extended chaotic systems in the presence of quenched disorder. We find that initially random perturbations tend to exponentially localize in space around static pinning centers that…

Statistical Mechanics · Physics 2009-11-13 Ivan G. Szendro , Juan M. Lopez , Miguel A. Rodriguez

We investigate the impact of quenched disorder on the dynamical correlation functions of two-leg quantum spin ladders. Perturbative continuous unitary transformations with the help of white graphs and bond-operator mean-field theory are…

Strongly Correlated Electrons · Physics 2018-10-24 M. Hörmann , P. Wunderlich , K. P. Schmidt

Identifying the regions responsible for plastic flow in amorphous solids remains an open problem, since structural disorder seems to prevent the direct application of concepts such as dislocations, topological defects that successfully…

Soft Condensed Matter · Physics 2026-05-21 Xin Wang , Yang Xu , Jin Shang , Yi Xing , Jie Zhang , Yujie Wang , Walter Kob , Matteo Baggioli

Dielectric relaxation in disordered dielectric mixtures are presented by emphasizing the interfacial polarization. The obtained results coincide with and cause confusion with those of the low frequency dispersion behavior. The considered…

Disordered Systems and Neural Networks · Physics 2007-05-23 Enis Tuncer

We develop the characterization of the dynamics at the noise-perturbed edge of chaos in logistic maps in terms of the quantities normally used to describe glassy properties in structural glass formers. Following the recognition [Phys. Lett.…

Statistical Mechanics · Physics 2013-08-29 Fulvio Baldovin , Alberto Robledo

Dynamical system properties give rise to effects in Statistical Mechanics. Topological index changes can be the basis for phase transitions. The Euler characteristic is a versatile topological invariant that can be evaluated for model…

Statistical Mechanics · Physics 2007-05-23 Ajay Patwardhan

An aspect of the synchronization dynamics is investigated in this work. We argue analytically and confirm numerically that the chaotic dynamics on the synchronization manifold exhibits unstable dimension variability. Unstable dimension…

chao-dyn · Physics 2009-10-31 Ricardo L. Viana , Celso Grebogi

I review recent progress in analysing deep inelastic scattering structure functions in global analyses. The new ingredients are new data and attempts to incorporate heavy quarks consistently. A new way of including the resummation of large…

High Energy Physics - Phenomenology · Physics 2009-10-30 R. G. Roberts

Observations of glassy dynamics in experiments on confluent cellular tissue have inspired a wealth of computational and theoretical research to model their emergent collective behavior. Initial studies of the physical properties of several…

Soft Condensed Matter · Physics 2024-09-04 Helen S. Ansell , Chengling Li , Daniel M. Sussman

Structural disorder can improve the optical properties of metasurfaces, whether it is emerging from some large-scale fabrication methods, or explicitly designed and built lithographically. Correlated disorder, induced by a minimum…

Proposed to study the dynamics of physiological systems in which the evolution depends on the state in a previous time, the Mackey-Glass model exhibits a rich variety of behaviors including periodic or chaotic solutions in vast regions of…

Disordered Systems and Neural Networks · Physics 2021-12-22 Juan P. Tarigo , Cecilia Stari , Cecilia Cabeza , Arturo C. Marti

We analyze the fluctuations in particle positions and inter-particle forces in disordered jammed crystals in the limit of weak disorder. We demonstrate that such athermal systems are fundamentally different from their thermal counterparts,…

Soft Condensed Matter · Physics 2020-07-08 Pappu Acharya , Surajit Sengupta , Bulbul Chakraborty , Kabir Ramola

The supercritical state is currently viewed as uniform on the pressure-temperature phase diagram. Supercritical fluids have the dynamic motions of a gas but are able to dissolve materials like a liquid. They have started to be deployed in…

Statistical Mechanics · Physics 2014-05-30 Dima Bolmatov , D. Zav'yalov , M. Zhernenkov

The local structure study reveals important aspects of the physical properties, because it is closely related to the electronic structure. Standard crystallographic analysis based on a space group fails to observe disorder in the crystal…

Materials Science · Physics 2019-06-26 Shin-ichi Shamoto

Discrete time crystals are periodically driven systems that display spontaneous symmetry breaking of time translation invariance in the form of indefinite subharmonic oscillations. We introduce a thermodynamically consistent model for a…

Statistical Mechanics · Physics 2021-01-20 Lukas Oberreiter , Udo Seifert , Andre C. Barato

Conventional X-ray methods use incoming plane waves and result in discrete diffraction patterns when scattered at crystals. Here we find, by a systematic method, incoming waveforms which exhibit discrete diffraction patterns when scattered…

Optics · Physics 2015-06-16 Gero Friesecke , Richard D. James , Dominik Jüstel

Dynamical heterogeneities -- strong fluctuations near the glass transition -- are believed to be crucial to explain much of the glass transition phenomenology. One possible hypothesis for their origin is that they emerge from soft…

Soft Condensed Matter · Physics 2012-01-10 Karina E. Avila , Horacio E. Castillo , Azita Parsaeian

The concept of statistical complexity is studied to characterize the classical kicked top model which plays important role in the qbit systems and the chaotic properties of the entanglement. This allows us to understand this driven…

Chaotic Dynamics · Physics 2020-11-18 Agnes Fülöp

Topological defects (TDs) are crucial for understanding important physical properties of crystalline materials including mechanical failure, ion transport, and two-dimensional melting. This concept has not translated to disordered materials…

Materials Science · Physics 2026-04-09 Matteo Baggioli , Michael L. Falk , Walter Kob

A network of $N$ elements is studied in terms of a deterministic globally coupled map which can be chaotic. There exists a range of values for the parameters of the map where the number of different macroscopic configurations is very large,…

Condensed Matter · Physics 2009-10-28 A. Crisanti , M. Falcioni , A. Vulpiani
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