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Related papers: How disorder originates and grows inside order

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We present the first example of a phase transition in a nonequilibrium steady-state that can be argued analytically to be first order. The system of interest is a two-species reaction-diffusion problem whose control parameter is the total…

Statistical Mechanics · Physics 2009-09-25 K. Oerding , F. van Wijland , J. -P. Leroy , H. J. Hilhorst

Ordering dynamics of self-propelled particles in an inhomogeneous medium in two-dimensions is studied. We write coarse-grained hydrodynamic equations of motion for coarse-grained density and velocity fields in the presence of an external…

Statistical Mechanics · Physics 2018-05-09 Rakesh Das , Shradha Mishra , Sanjay Puri

Chaos is a fundamental phenomenon in nonlinear dynamics, manifesting as irregular and unpredictable behavior across various physical systems. Among the diverse routes to chaos, intermittent chaos is a distinct transition pathway,…

Self-sustained order can emerge in complex systems due to internal feedback between coupled subsystems. Here, we present our discovery of a non-monotonic emergence of order amidst chaos in a turbulent thermo-acoustic fluid system.…

Fluid Dynamics · Physics 2025-02-19 Aswin Balaji , Shruti Tandon , Norbert Marwan , Jürgen Kurths , R. I. Sujith

We expose the theoretical mechanisms underlying disorder-induced nematicity in systems exhibiting strong fluctuations or ordering in the nematic channel. Our analysis consists of a symmetry-based Ginzburg-Landau approach and associated…

Superconductivity · Physics 2019-08-23 Daniel Steffensen , Panagiotis Kotetes , Indranil Paul , Brian M. Andersen

In many instances, the dynamical richness and complexity observed in natural phenomena can be related to stochastic drives influencing their temporal evolution. For example, random noise allied to spatial asymmetries may induce…

Statistical Mechanics · Physics 2023-10-03 K. S. Fa , C. -L. Ho , Y. B. Matos , M. G. E da Luz

In this work we study a 3-state opinion formation model considering two distinct mechanisms, namely independence and conviction. Independence is introduced in the model as a noise, by means of a probability of occurrence $q$. On the other…

Physics and Society · Physics 2016-05-20 Nuno Crokidakis

We study a class of one-dimensional, nonequilibrium, conserved growth equations for both nonconserved and conserved noise statistics using numerical integration. An atomistic version of these growth equations is also studied using…

Statistical Mechanics · Physics 2007-05-23 Buddhapriya Chakrabarti , Chandan Dasgupta

Noise through its interaction with the nonlinearity of the living systems can give rise to counter-intuitive phenomena. In this paper we shortly review noise induced effects in different ecosystems, in which two populations compete for the…

Populations and Evolution · Quantitative Biology 2016-09-26 D. Valenti , A. Giuffrida , G. Denaro , N. Pizzolato , L. Curcio , B. Spagnolo , S. Mazzola , G. Basilone , A. Bonanno

We study the effects of time-varying environmental noise on nonequilibrium phase transitions in spreading and growth processes. Using the examples of the logistic evolution equation as well as the contact process, we show that such temporal…

Statistical Mechanics · Physics 2015-11-25 Thomas Vojta , José A. Hoyos

Self-propelled particles with alignment, displaying ordered collective motions such as swarming, can be investigated by the well-known Vicsek model. However, challenges still remain regarding the nature of the associated phase transition.…

Statistical Mechanics · Physics 2024-11-12 Ruizhe Yan , Jie Su , Jin Wang

The objective of this article is to investigate the profound nonlinear optical response exhibited by inversion symmetric fullerene molecules under the influence of different types of disorders described by the Anderson model. Our aim is to…

Optics · Physics 2023-09-06 H. K. Avetissian , S. Sukiasyan , H. H. Matevosyan , G. F. Mkrtchian

The behavior of non-spherical particles in a shear-flow is of significant practical and theoretical interest. These systems have been the object of numerous investigations since the pioneering work of Jeffery a century ago. His eponymous…

Soft Condensed Matter · Physics 2024-11-21 Julian Talbot , Charles Antoine , Philippe Claudin , Ellák Somfai , Tamás Börzsönyi

We consider a one-dimensional directional array of diffusively coupled oscillators. They are perturbed by the injection of a small additive noise, typically orders of magnitude smaller than the oscillation amplitude, and the system is…

Disordered Systems and Neural Networks · Physics 2019-01-09 Clement Zankoc , Duccio Fanelli , Francesco Ginelli , Roberto Livi

We investigate the effect of noise strength on the macroscopic ordering dynamics of systems with symmetric absorbing states. Using an explicit stochastic microscopic model, we present evidence for a phase transition in the coarsening…

Statistical Mechanics · Physics 2013-05-20 D. I. Russell , R. A. Blythe

We propose a new non-equilibrium model for spatial pattern formation on the basis of local information transfer. Unlike standard models of pattern formation it is not based on the Turing instability. Information is transmitted through the…

Statistical Mechanics · Physics 2007-05-23 Thimo Rohlf , Stefan Bornholdt

We address the effects of quenched disorder averaging in the time-evolution of systems of ultracold atoms in optical lattices in the presence of noise, imposed by of an environment. For bosonic systems governed by the Bose-Hubbard…

Quantum Gases · Physics 2022-09-22 Saubhik Sarkar , Ujjwal Sen

Within the Landau-Ginzburg picture of phase transitions, scalar field theories develop phase separation because of a spontaneous symmetry-breaking mechanism. This picture works in thermodynamics but also in the dynamics of phase separation.…

Statistical Mechanics · Physics 2024-08-05 Matteo Paoluzzi , Demian Levis , Andrea Crisanti , Ignacio Pagonabarraga

A deterministic cellular automaton rule defined on the Moore neighbourhood is studied as a model of epidemic propagation. The directed nature of the interaction between cells allows one to introduce the dependence on a disorder parameter…

Statistical Mechanics · Physics 2007-05-23 M. Bezzi , R. Livi

We present a simple model of alignment of a large number of rigid bodies (modeled by rotation matrices) subject to internal rotational noise. The numerical simulations exhibit a phenomenon of first order phase transition with respect the…

Analysis of PDEs · Mathematics 2020-12-01 Amic Frouvelle