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We study how local equilibrium, and linear response predictions of transport coefficients are violated as systems move far from equilibrium. This is done by studying heat flow in classical lattice models with and without bulk transport…

Chaotic Dynamics · Physics 2007-05-23 Kenichiro Aoki , Dimitri Kusnezov

The relaxation of out-of-time-ordered correlators (OTOCs) has been studied as a mean to characterize the scrambling properties of a quantum system. We show that the presence of local conserved quantities typically results in, at the…

Statistical Mechanics · Physics 2021-09-22 Vinitha Balachandran , Giuliano Benenti , Giulio Casati , Dario Poletti

Alignment interactions in active matter are typically modeled as relaxational dynamics toward local consensus. In unbounded systems, this makes alignment effectively decoupled from local density and therefore unable to sustain self-confined…

Soft Condensed Matter · Physics 2026-04-10 Julian Giraldo-Barreto , Viktor Holubec

A model to simulate the phenomenon of random lasing is presented. It couples Maxwell's equations with the rate equations of electronic population in a disordered system. Finite difference time domain methods are used to obtain the field…

Disordered Systems and Neural Networks · Physics 2009-10-31 Xunya Jiang , C. M. Soukoulis

OTOC has been used to characterize the information scrambling in quantum systems. Recent studies showed that local conserved quantities play a crucial role in governing the relaxation dynamics of OTOC in non-integrable systems. In…

Statistical Mechanics · Physics 2023-01-11 Vinitha Balachandran , Dario Poletti

In systems of diffusing particles, we investigate large deviations of a time-averaged measure of clustering around one particle. We focus on biased ensembles of trajectories, which realise large-deviation events. The bias acts on a single…

Statistical Mechanics · Physics 2021-06-02 Jakub Dolezal , Robert L. Jack

A mass ejection model in a time-dependent random environment with both temporal and spatial correlations is introduced. When the environment has a finite correlation length, individual particle trajectories are found to diffuse at large…

Chaotic Dynamics · Physics 2012-03-28 Giorgio Krstulovic , Rehab Bitane , Jeremie Bec

We study the collective behaviour of an ensemble of coupled motile elements whose interactions depend on time and are alternatively attractive or repulsive. The evolution of interactions is driven by individual internal variables with…

Statistical Mechanics · Physics 2009-11-10 Damian H. Zanette , Alexander S. Mikhailov

We derive an upscaled model describing the aggregation and deposition of colloidal particles within a porous medium allowing for the possibility of local clogging of the pores. At the level of the pore scale, we extend an existing model for…

Analysis of PDEs · Mathematics 2019-11-19 Adrian Muntean , Christos V. Nikolopoulos

Fluctuations of observables provide unique insights into the nature of physical systems, and their study stands as a cornerstone of both theoretical and experimental science. Generalized fluctuations, or cumulants, provide information…

Strongly Correlated Electrons · Physics 2025-11-12 Clément Berthière , Benoit Estienne , Jean-Marie Stéphan , William Witczak-Krempa

We study coupled transport in the nonequilibrium stationary state of a model consisting of independent random walkers, moving along a one-dimensional channel, which carry a conserved energy-like quantity, with density and temperature…

Statistical Mechanics · Physics 2009-08-11 Hernán Larralde , David P. Sanders

The dissipative XY model in two spatial dimensions belongs to a new universality class of quantum critical phenomena with the remarkable property of the decoupling of the critical fluctuations in space and time. We have shown earlier that…

Strongly Correlated Electrons · Physics 2015-05-19 Vivek Aji , C. M. Varma

We study local and nonlocal correlations of light transmitted through active random media. The conventional approach results in divergence of ensemble averaged correlation functions due to existence of lasing realizations. We introduce…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexey Yamilov , Shih-Hui Chang , Aleksander Burin , Allen Taflove , Hui Cao

We study the effect of metastable states on the relaxation process (and hence information propagation) in locally coupled and boundary-driven structures. We first give a general argument to show that metastable states are inevitable even in…

Condensed Matter · Physics 2009-10-31 M. P. Anantram , Vwani P. Roychowdhury

Biological active matter is typically tightly coupled to chemical reaction networks affecting its assembly-disassembly dynamics and stress generation. We show that localized states can emerge spontaneously if assembly of active matter is…

Biological Physics · Physics 2023-12-15 Luca Barberi , Karsten Kruse

Resonance trapping appears in open many-particle quantum systems at high level density when the coupling to the continuum of decay channels reaches a critical strength. Here a reorganization of the system takes place and a separation of…

Nuclear Theory · Physics 2011-03-15 E. Persson , T. Gorin , I. Rotter

We present a linear model, which mimics the response of a spatially extended dissipative medium to a distant perturbation, and investigate its dynamics under delayed feedback control. The time a perturbation needs to propagate to a…

Adaptation and Self-Organizing Systems · Physics 2018-11-08 Josua Grawitter , Reinier van Buel , Christian Schaaf , Holger Stark

We consider conservative cross-diffusion systems for two species where individual motion rates depend linearly on the local density of the other species. We develop duality estimates and obtain stability and approximation results. We first…

Analysis of PDEs · Mathematics 2024-10-30 Vincent Bansaye , Ayman Moussa , Felipe Muñoz-Hernández

The evolution of the gluon plasma produced with saturation initial conditions is calculated via Boltzmann transport theory for nuclear collisions at high energy. The saturation scale increases with the nuclear size and the beam energy, and…

High Energy Physics - Phenomenology · Physics 2009-10-09 Adrian Dumitru , Miklos Gyulassy

The response of dynamical systems to varying conditions and disturbances is a fundamental aspect of their analysis. In spatially extended systems, particularly in pattern-forming systems, there are many possible responses, including…

Pattern Formation and Solitons · Physics 2017-03-02 Yuval R. Zelnik , Ehud Meron , Golan Bel