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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…

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…

统计力学 · 物理学 2009-11-07 Dirk Helbing , Tadeusz Platkowski

Intrinsic or demographic noise has been shown to play an important role in the dynamics of a variety of systems including predator-prey populations, intracellular biochemical reactions, and oscillatory chemical reaction systems, and is…

统计力学 · 物理学 2013-03-14 C. Michael Giver , Bulbul Chakraborty

Since the analogy between laser oscillation and second-order phase transition was indicated in the 1970s, dynamical fluctuations on lasing threshold inherent in critical phenomena have gained significant interest. Here, we numerically and…

光学 · 物理学 2025-02-27 Tomoaki Niiyama , Satoshi Sunada

Gravitational amplification of Poisson noise in stellar systems increases the dipole noise power by roughly a factor of six and the quadrupole noise by 50% for a King model profile. The dipole noise is amplified by a factor of fifteen for…

天体物理学 · 物理学 2009-10-30 Martin D. Weinberg

Light scattering from resonantly or nearly resonantly excited systems, known as resonance fluorescence, has been gaining importance as a versatile tool for investigating quantum states of matter and readout of quantum information, recently…

量子物理 · 物理学 2023-10-02 Rafał A. Bogaczewicz , Paweł Machnikowski

The relativistic theory of hydrodynamic fluctuations, or noise, is derived and applied to high energy heavy ion collisions. These fluctuations are inherent in any space-time varying system and are in addition to initial state fluctuations.…

核理论 · 物理学 2012-01-18 Joseph Kapusta , Berndt Mueller , Misha Stephanov

We examine statistics of fluctuations of the laser beam intensity at its propagating in turbulent atmosphere. We are interested in relatively large propagating distances and the remote tail of the probability density function. The tail is…

光学 · 物理学 2024-03-07 Igor V. Kolokolov , Vladimir V. Lebedev

We study the work fluctuations of a particle, confined to a moving harmonic potential, under the influence of friction and external Poissonian shot noise. The asymmetry of the noise induces an effective nonlinearity in the potential, which…

统计力学 · 物理学 2009-11-13 A. Baule , E. G. D. Cohen

We examine the mean first passage time for a particle driven by highly correlated Gaussian fluctuations to reach one or more predetermined boundaries. We discuss a numerical algorithm to generate power-law correlated fluctuations and apply…

统计力学 · 物理学 2007-05-23 Aldo H. Romero , J. M. Sancho , Katja Lindenberg

"\textit{The noise is the signal}"[R. Landauer, Nature \textbf{392}, 658 (1998)] emphasizes the rich information content encoded in fluctuations. This paper assesses the dynamical role of fluctuations of a quantum system driven far from…

量子物理 · 物理学 2015-03-10 Yi-Jen Chen , Stefan Pabst , Zheng Li , Oriol Vendrell , Robin Santra

Very low intensity and phase fluctuations are present in a bright light field such as a laser beam. These subtle quantum fluctuations may be used to encode quantum information. Although intensity is easily measured with common…

量子物理 · 物理学 2009-11-13 Alessandro S. Villar

Fluctuations of the white-light supercontinuum produced by ultrashort laser pulses in selfguided filaments (spatio-temporal solitons) in air are investigated. We demonstrate that correlations exist within the white-light supercontinuum, and…

"Noise-induced volatility" refers to a phenomenon of increased level of fluctuations in the collective dynamics of bistable units in the presence of a rapidly varying external signal, and intermediate noise levels. The archetypical…

统计力学 · 物理学 2012-02-01 Georges Harras , Claudio J. Tessone , Didier Sornette

We consider the asymptotic behaviour of the fluctuation process for large stochastic systems of interacting particles driven by both idiosyncratic and common noise with an interaction kernel \(k \in L^2(\R^d) \cap L^\infty(\R^d)\). Our…

概率论 · 数学 2026-05-28 Paul Nikolaev

Nonlinear complex network-coupled systems typically have multiple stable equilibrium states. Following perturbations or due to ambient noise, the system is pushed away from its initial equilibrium and, depending on the direction and the…

适应与自组织系统 · 物理学 2023-06-08 Melvyn Tyloo

We analyze the effects of noise on the permutation entropy of dynamical systems. We take as numerical examples the logistic map and the R\"ossler system. Upon varying the noise strengthfaster, we find a transition from an…

数据分析、统计与概率 · 物理学 2015-09-30 C. Quintero-Quiroz , Simone Pigolotti , M. C. Torrent , Cristina Masoller

The constituents in a class of active matter systems change their directions of motion by being influenced by the velocities of the neighbors. Such systems may undergo phase transitions, with respect to ordering in the velocity field, as…

统计力学 · 物理学 2025-02-11 Sohini Chatterjee , Sohom Das , Purnendu Pathak , Tanay Paul , Subir K. Das

We report on our investigations into density fluctuations in electron bunches. Noise and density fluctuations in relativistic electron bunches, accelerated in a linac, are of critical importance to various Coherent Electron Cooling (CEC)…

It has been recently shown numerically that the transition from integrability to chaos in quantum systems and the corresponding spectral fluctuations are characterized by $\frac{1}{f^{\alpha}}$ noise with $1\leq\alpha\leq 2$. The system of…

量子气体 · 物理学 2012-06-22 Kamalika Roy , Barnali Chakrabarti , Anindya Biswas , V. K. B. Kota , Sudip Kumar Haldar