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Evolution of a system of diffusing and proliferating mortal reactants is analyzed in the presence of randomly moving catalysts. While the continuum description of the problem predicts reactant extinction as the average growth rate becomes…

软凝聚态物质 · 物理学 2009-10-31 N. M. Shnerb , E. Bettelheim , Y. Louzoun , O. Agam , S. Solomon

We study spatiotemporal chaos in two-dimensional dense active suspensions using a generalized hydrodynamic model. Increasing activity induces a structural transition marked by the formation of intense vortices and giant number fluctuations…

流体动力学 · 物理学 2026-03-13 Kirti Kashyap , Kolluru Venkata Kiran , Anupam Gupta

We present recent results on noise-induced transitions in a nonlinear oscillator with randomly modulated frequency. The presence of stochastic perturbations drastically alters the dynamical behaviour of the oscillator: noise can wash out a…

混沌动力学 · 物理学 2009-11-13 Sebastien Aumaitre , Francois Petrelis , Kirone Mallick

In this work, we investigate the large-scale transport properties of a passive scalar advected by a turbulent fluid, modelled as a superposition of divergence-free vector fields, each weighted by an independent symmetric…

数学物理 · 物理学 2026-02-25 Paolo Cifani , Franco Flandoli , Lorenzo Marino

The precision of reaction-diffusion models for mesoscopic physical systems is limited by fluctuations. To account for this uncertainty, Van Kampen derived a stochastic Langevin-like reaction-diffusion equation that incorporates…

统计力学 · 物理学 2018-11-28 Roman Belousov , Adrian Jacobo , A. J. Hudspeth

Fluctuations play a central role in many fields of physics, from quantum electrodynamics to statistical mechanics. In active matter physics, most models focus on thermal fluctuations due to a surrounding solvent. An alternative but much…

软凝聚态物质 · 物理学 2025-04-17 Sebastian Fehlinger , Kai Cui , Arooj Sajjad , Heinz Koeppl , Benno Liebchen

We introduce a new class of models in which a large number of "agents" organize under the influence of an externally imposed coherent noise. The model shows reorganization events whose size distribution closely follows a power law over many…

凝聚态物理 · 物理学 2009-10-28 Kim Sneppen , M. E. J. Newman

Noisy fluctuations are ubiquitous in complex systems. They play a crucial or delicate role in the dynamical evolution of gene regulation, signal transduction, biochemical reactions, among other systems. Therefore, it is essential to…

动力系统 · 数学 2018-11-05 Jinqiao Duan , Hui Wang

Recent advances in analysis of subband amplitude envelopes of natural sounds have resulted in convincing synthesis, showing subband amplitudes to be a crucial component of perception. Probabilistic latent variable analysis is particularly…

机器学习 · 计算机科学 2019-03-28 William J. Wilkinson , Joshua D. Reiss , Dan Stowell

We investigate the possibility that gauge fluctuations are amplified in an expanding universe by parametric resonance, during the oscillatory regime of a scalar field to which they are coupled. We investigate the couplings of gauge fields…

高能物理 - 唯象学 · 物理学 2014-11-17 F. Finelli , A. Gruppuso

The stationary distribution of a fully chaotic system typically exhibits a fractal structure, which dramatically changes if the dynamical equations are even slightly modified. Perturbative techniques are not expected to work in this…

混沌动力学 · 物理学 2017-06-26 Jeffrey M. Heninger , Domenico Lippolis , Predrag Cvitanovic

Computation plays a key role in predicting and analyzing natural phenomena. There are two fundamental barriers to our ability to computationally understand the long-term behavior of a dynamical system that describes a natural process. The…

计算复杂性 · 计算机科学 2017-02-15 Mark Braverman , Alexander Grigo , Cristobal Rojas

Intrinsic stochasticity can induce highly non-trivial effects on dynamical systems, including stochastic and coherence resonance, noise induced bistability, noise-induced oscillations, to name but a few. In this paper we revisit a mechanism…

无序系统与神经网络 · 物理学 2018-07-17 Serena di Santo , Pablo Villegas , Raffaella Burioni , Miguel A. Muñoz

We consider fluctuations of the dissipated energy in nonlinear driven diffusive systems subject to bulk dissipation and boundary driving. With this aim, we extend the recently-introduced macroscopic fluctuation theory to nonlinear driven…

统计力学 · 物理学 2013-10-29 P. I. Hurtado , A. Lasanta , A. Prados

Parametric amplification is a key ingredient of a wide range of phenomena, from the classical to the quantum domain. Although such phenomena have been demonstrated in non-equilibrium settings, their use for fluctuation engineering has been…

量子物理 · 物理学 2025-11-12 H. P. Ojeda Collado , Ludwig Mathey

Recent experiments have shown that stochastic effects exerted at the level of translation contribute a substantial portion of the variation in abundance of proteins expressed at moderate to high levels. This study analyzes translational…

亚细胞过程 · 定量生物学 2014-09-16 Sandip Datta , Brian Seed

We study a form of noise-induced intermittence originated by an out of equilibrium process yielding events in time with a survival probability that in the case of an infinitely aged condition coincides with the Mittag-Leffler function. In…

生物物理 · 物理学 2022-07-07 David Lambert , Luigi Palatella , Paolo Grigolini

In two previous works [arXiv:1009.4363,arXiv:1107.0668], we studied the time evolution of a system of real scalar fields with quartic coupling which shares important features with the Color Glass Condensate description of heavy ion…

高能物理 - 唯象学 · 物理学 2015-06-05 Kevin Dusling , Thomas Epelbaum , François Gelis , Raju Venugopalan

We consider a model of a square-wave bursting neuron residing in the regime of tonic spiking. Upon introduction of small stochastic forcing, the model generates irregular bursting. The statistical properties of the emergent bursting…

适应与自组织系统 · 物理学 2008-11-11 Pawel Hitczenko , Georgi S. Medvedev

We theoretically and numerically investigate the spin fluctuations induced in a thermal atomic ensemble by an external fluctuating uniaxial magnetic field, in the context of a standard spin noise spectroscopy (SNS) experiment. We show that…

量子物理 · 物理学 2023-10-05 J. Delpy , S. Liu , P. Neveu , C. Roussy , Th. Jolicoeur , F. Bretenaker , F. Goldfarb