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We study nonequilibrium dynamical properties of inhomogeneous systems, in particular at a free surface or at a defect plane. Thereby we consider nonconserved (model-A) dynamics of a system which is prepared in the high-temperature phase and…

Statistical Mechanics · Physics 2009-11-10 Michel Pleimling , Ferenc Igloi

Topological defects, which are singular points in a director field, play a major role in shaping active systems. Here, we experimentally study topological defects and the flow patterns around them, that are formed during the highly rapid…

Soft Condensed Matter · Physics 2024-03-20 Victor Yashunsky , Daniel J. G. Pearce , Gil Ariel , Avraham Be'er

Concepts like `typicality' and the `eigenstate thermalization hypothesis' aim at explaining the apparent equilibration of quantum systems, possibly after a very long time. However, these concepts are not concerned with the specific way in…

Quantum Physics · Physics 2018-12-12 Lars Knipschild , Jochen Gemmer

In many active systems, swimmers collectively stir the surrounding fluid to stabilize some self-sustained vortices. The resulting nonequilibrium state is often referred to as active turbulence, by analogy with the turbulence of passive…

Statistical Mechanics · Physics 2026-03-03 Byjesh N. Radhakrishnan , Francesco Serafin , Thomas L. Schmidt , Étienne Fodor

Scaling ideas and renormalization group approaches proved crucial for a deep understanding and classification of critical phenomena in thermal equilibrium. Over the past decades, these powerful conceptual and mathematical tools were…

Statistical Mechanics · Physics 2017-03-29 Uwe C. Täuber

The fluctuations in nonequilibrium systems are under intense theoretical and experimental investigation. Topical ``fluctuation relations'' describe symmetries of the statistical properties of certain observables, in a variety of models and…

Statistical Mechanics · Physics 2011-09-08 Lamberto Rondoni , Carlos Mejia-Monasterio

We study the ground state properties of classical Coulomb charges interacting with a 1/r potential moving on a plane but confined either by a circular hard wall boundary or by a harmonic potential. The charge density in the continuum limit…

Materials Science · Physics 2009-11-13 A. Mughal , M. A. Moore

We consider the non-equilibrium time evolution of a translationally invariant state under a Hamiltonian with a localized defect. We discern the situations where a light-cone spreads out from the defect and separates the system into regions…

Statistical Mechanics · Physics 2016-09-26 Bruno Bertini , Maurizio Fagotti

We consider here the dynamics of some homogeneous and isotropic cosmological models with $N$ interacting classical scalar fields non-minimally coupled to the spacetime curvature, as an attempt to generalize some recent results obtained for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. Brenig , A. Figueiredo , E. Gunzig , T. M. Rocha Filho , Alberto Saa

Complex systems are commonly modeled using nonlinear dynamical systems. These models are often high-dimensional and chaotic. An important goal in studying physical systems through the lens of mathematical models is to determine when the…

Computational Geometry · Computer Science 2014-03-25 Jesse Berwald , Marian Gidea , Mikael Vejdemo-Johansson

Many-body localized systems in which interactions and disorder come together defy the expectations of quantum statistical mechanics: In contrast to ergodic systems, they do not thermalize when undergoing nonequilibrium dynamics. What is…

Disordered Systems and Neural Networks · Physics 2020-01-29 K. S. C. Decker , D. M. Kennes , J. Eisert , C. Karrasch

Living systems exhibit complex yet organized behavior on multiple spatiotemporal scales. To investigate the nature of multiscale coordination in living systems, one needs a meaningful and systematic way to quantify the complex dynamics, a…

Adaptation and Self-Organizing Systems · Physics 2020-03-11 Mengsen Zhang , William D. Kalies , J. A. Scott Kelso , Emmanuelle Tognoli

Topological invariants have proved useful for analyzing emergent function as they characterize a property of the entire system, and are insensitive to local details, disorder, and noise. They support boundary states, which reduce the system…

Statistical Mechanics · Physics 2025-10-10 Jaime Agudo-Canalejo , Evelyn Tang

Pattern-forming nonequilibrium systems are ubiquitous in nature, from driven quantum matter and biological life forms to atmospheric and interstellar gases. Identifying universal aspects of their far-from-equilibrium dynamics and statistics…

Statistical Mechanics · Physics 2026-03-03 Vili Heinonen , Abel J. Abraham , Jonasz Słomka , Keaton J. Burns , Pedro J. Sáenz , Jörn Dunkel

In this paper we rigorously investigate the emergence of defects on Nematic Shells with genus different from one. This phenomenon is related to a non trivial interplay between the topology of the shell and the alignment of the director…

Analysis of PDEs · Mathematics 2017-03-17 Giacomo Canevari , Antonio Segatti

We investigate the dynamics of many-body long-range interacting systems, taking the Hamiltonian Mean Field model as a case study. We show that an abundance of regular trajectories, associated with invariant tori of the single-particle…

Statistical Mechanics · Physics 2009-01-12 Romain Bachelard , Cristel Chandre , Duccio Fanelli , Xavier Leoncini , Stefano Ruffo

We investigate the nonequilibrium dynamics of a groundstate fermionic many body gas subjected to a quench between parameter regimes of a topologically nontrivial Hamiltonian. By focusing on the role of the chiral edge states inherent to the…

Quantum Physics · Physics 2024-12-04 Sarika Sasidharan Nair , Giedrius Žlabys , Wen-Bin He , Thomás Fogarty , Thomas Busch

The LCDM model has been presented with a number of cosmic tensions in the face of precision cosmological data, suggesting the presence of a dynamical dark energy component. In this context, we investigate the cosmology arising from a…

General Relativity and Quantum Cosmology · Physics 2026-05-08 Matthew Debono , Jackson Levi Said , Gabriel Farrugia

Hyperuniformity, the suppression of density fluctuations at large length scales, is observed across a wide variety of domains, from cosmology to condensed matter and biological systems. Although the standard definition of hyperuniformity…

Statistical Mechanics · Physics 2024-05-07 Marco Salvalaglio , Dominic J. Skinner , Jörn Dunkel , Axel Voigt

We investigate the non-equilibrium properties of an N-component scalar field theory. The time evolution of the correlation functions for an arbitrary ensemble of initial conditions is described by an exact functional differential equation.…

High Energy Physics - Phenomenology · Physics 2016-09-06 Luis M. A. Bettencourt , Christof Wetterich