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We study a dissipative version of the contact process, with mean-field interaction, which admits a simple epidemiological interpretation. The propagation of chaos and the corresponding normal fluctuations reveal that the noise present in…

Probability · Mathematics 2024-03-07 Paolo Dai Pra , Elisa Marini

An important characteristic of flocks of birds, school of fish, and many similar assemblies of self-propelled particles is the emergence of states of collective order in which the particles move in the same direction. When noise is added…

Statistical Mechanics · Physics 2015-01-19 M. Aldana , V. Dossetti , C. Huepe , V. M. Kenkre , H. Larralde

Critical transitions are of great interest to scientists in many fields. Most knowledge about these transitions comes from systems exhibiting the multistability of spatially uniform states. In spatially extended and, particularly, in…

Pattern Formation and Solitons · Physics 2016-02-17 Hezi Yizhaq , Golan Bel

A recently introduced lattice model, describing an extended system which exhibits a reentrant (symmetry-breaking, second-order) noise-induced nonequilibrium phase transition, is studied under the assumption that the multiplicative noise…

Condensed Matter · Physics 2009-10-31 S. E. Mangioni , R. R. Deza , R. Toral , H. Wio

Discontinuous phase transitions occurs to be particularly interesting from a social point of view because of their relationship to social hysteresis and critical mass. In this paper, we show that the replacement of a time-varying (annealed,…

Physics and Society · Physics 2022-08-31 Bartłomiej Nowak , Katarzyna Sznajd-Weron

We study the statistical physics of a surprising phenomenon arising in large networks of excitable elements in response to noise: while at low noise, solutions remain in the vicinity of the resting state and large-noise solutions show…

Adaptation and Self-Organizing Systems · Physics 2020-04-01 Jonathan D. Touboul , Charlotte Piette , Laurent Venance , G. Bard Ermentrout

The large increase in voltage noise, commonly observed in the vicinity of the peak-effect in superconductors, is ascribed to a novel noise mechanism. A strongly pinned metastable disordered vortex phase, which is randomly generated at the…

Superconductivity · Physics 2009-11-07 Y. Paltiel , G. Jung , Y. Myasoedov , M. L. Rappaport , E. Zeldov , M. J. Higgins , S. Bhattacharya

We study the role of noise on the nature of the transition to collective motion in dry active matter. Starting from field theories that predict a continuous transition at the deterministic level, we show that fluctuations induce a…

Soft Condensed Matter · Physics 2021-04-12 David Martin , Hugues Chaté , Cesare Nardini , Alexandre Solon , Julien Tailleur , Frédéric van Wijland

This paper focuses on the long-term behavior of solutions to nonlinear stochastic Fokker-Planck equations driven by common noise, where the drift term has a linear dependence on the measure. These equations, which describe the evolution of…

Analysis of PDEs · Mathematics 2025-03-07 Raphael Maillet

Based on the Fokker-Planck and the entropy balance equations we have studied the relaxation of a dissipative dynamical system driven by external Ornstein-Uhlenbeck noise processes in absence and presence of nonequilibrium constraint in…

Statistical Mechanics · Physics 2009-11-07 Bidhan Chandra Bag

It is universally accepted that noise may bring order to complex nonequilibrium systems. Most strikingly, entirely new states not seen in the noiseless system can be induced purely by including multiplicative noise -- an effect known as…

Quantum Physics · Physics 2023-09-27 A. Chia , W. -K. Mok , C. Noh , L. C. Kwek

To study the interplay of jamming, cluster formation, and motility-induced phase separation in the zero temperature limit in two dimensions, we consider a simple model system consisting of a bidisperse mixture of disks that are only subject…

Soft Condensed Matter · Physics 2023-06-16 Michael Schmiedeberg

According to empirical observations, some pattern formation phenomena in driven many-particle systems are more pronounced in the presence of a certain noise level. We investigate this phenomenon of fluctuation-driven ordering with a…

Statistical Mechanics · Physics 2009-11-07 Dirk Helbing , Tadeusz Platkowski

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

The cortex exhibits self-sustained highly-irregular activity even under resting conditions, whose origin and function need to be fully understood. It is believed that this can be described as an "asynchronous state" stemming from the…

Disordered Systems and Neural Networks · Physics 2019-10-24 Victor Buendía , Pablo Villegas , Serena di Santo , Alessandro Vezzani , Raffaella Burioni , Miguel A. Muñoz

The nature of the interplay between fluctuations and quenched random disorder is a long-standing open problem, particularly in systems with a continuous order parameter. This lack of a full theoretical treatment has been underscored by…

Strongly Correlated Electrons · Physics 2024-01-22 Matthew C. O'Brien , Eduardo Fradkin

We consider the celebrated Kuramoto model with nearest neighbour interactions, arranged on a two-dimensional square lattice in presence of two kinds of noise - annealed and quenched. We focus on both the steady state and relaxation dynamics…

Adaptation and Self-Organizing Systems · Physics 2020-04-02 Mrinal Sarkar

Fluctuations and noise may alter the behavior of dynamical systems considerably. For example, oscillations may be sustained by demographic fluctuations in biological systems where a stable fixed point is found in the absence of noise. We…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Richard P. Boland , Tobias Galla , Alan J. McKane

We develop a microscopic transport theory in a randomly driven fermionic model with and without linear potential. The operator dynamics arise from the competition between noisy and static couplings, leading to diffusion regardless of…

Strongly Correlated Electrons · Physics 2023-11-29 Christopher M. Langlett , Shenglong Xu

We consider the stochastic patterns of a system of communicating, or coupled, self-propelled particles in the presence of noise and communication time delay. For sufficiently large environmental noise, there exists a transition between a…

Adaptation and Self-Organizing Systems · Physics 2012-04-23 Luis Mier-y-Teran-Romero , Eric Forgoston , Ira B. Schwartz