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Weakly scattering random lasers exhibit lasing modes that spatially overlap and can interact strongly via gain saturation. Consequently, lasing in high-threshold modes may be suppressed by strong low-threshold lasing modes. We numerically…

光学 · 物理学 2012-02-22 Jonathan Andreasen , Hui Cao

The effects of intrinsic noise on stochastic delay systems is studied within an expansion in the inverse system size. We show that the stochastic nature of the underlying dynamics may induce oscillatory behaviour in parameter ranges where…

分子网络 · 定量生物学 2015-05-13 Tobias Galla

We investigate the role of noise in the phenomenon of stochastic synchronization of switching events in a rocked, overdamped bistable potential driven by white Gaussian noise, the archetype description of Stochastic Resonance. We present a…

Stochastic resonance is a well established phenomenon, which proves relevant for a wide range of applications, of broad trans-disciplinary breath. Consider a one dimensional bistable stochastic system, characterized by a deterministic…

统计力学 · 物理学 2023-10-17 Giuliano Migliorini , Duccio Fanelli

This contribution investigates an original stochastic approach for the emergence of stop-and-go waves in traffic flow, a collective phenomenon with significant safety and environmental implications. Using a stable nonlinear car-following…

物理与社会 · 物理学 2025-12-04 Raphael Korbmacher , Parthib Khound , Antoine Tordeux , Frank Gronwald

Two remote agents with synchronized clocks may use them to act in concert and communicate. This necessitates some means of creating and maintaining synchrony. One method, not requiring any direct interaction between the agents, is to expose…

统计力学 · 物理学 2026-05-20 Benjamin Sorkin , Thomas A. Witten

We investigate the effect of time-correlated noise on the phase fluctuations of nonlinear oscillators. The analysis is based on a methodology that transforms a system subject to colored noise, modeled as an Ornstein-Uhlenbeck process, into…

适应与自组织系统 · 物理学 2019-05-31 Michele Bonnin , Fabio Traversa , Fabrizio Bonani

Stochastic resonance holds much promise for the detection of weak signals in the presence of relatively loud noise. Following the discovery of nondynamical and of aperiodic stochastic resonance, it was recently shown that the phenomenon can…

凝聚态物理 · 物理学 2009-10-31 Redouane Fakir

Stochasticity is both exploited and controlled by cells. Although the intrinsic stochasticity inherent in biochemistry is relatively well understood, cellular variation, or 'noise', is predominantly generated by interactions of the system…

分子网络 · 定量生物学 2008-09-18 Vahid Shahrezaei , Julien F Ollivier , Peter S Swain

We study ensembles of globally coupled, nonidentical phase oscillators subject to correlated noise, and we identify several important factors that cause noise and coupling to synchronize or desychronize a system. By introducing noise in…

适应与自组织系统 · 物理学 2013-09-26 Yi Ming Lai , Mason A. Porter

Here we study a noise induced transition when the system is driven by a noise source taken as colored and non-Gaussian. We show--using both, a theoretical approximation and numerical simulations-- that there is a shift of the transition as…

统计力学 · 物理学 2009-11-10 Horacio S. Wio , Raul Toral

We study the effects of noise on the dynamics of a system of coupled self-propelling particles in the case where the coupling is time-delayed, and the delays are discrete and randomly generated. Previous work has demonstrated that the…

斑图形成与孤子 · 物理学 2012-10-08 Brandon Lindley , Luis Mier-y-Teran-Romero , Ira B. Schwartz

Ultrafast disordering observed after photo-excitation challenges the conventional picture of photo-induced transitions where symmetry-breaking takes place along a single collective coordinate. We propose that key spectroscopic signatures of…

强关联电子 · 物理学 2025-07-31 Francesco Valiera , Antonio Picano , Martin Eckstein

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…

统计力学 · 物理学 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…

统计力学 · 物理学 2007-05-23 Thimo Rohlf , Stefan Bornholdt

We consider noise-driven exit from a domain of attraction in a two-dimensional bistable system lacking detailed balance. Through analog and digital stochastic simulations, we find a theoretically predicted bifurcation of the most probable…

数据分析、统计与概率 · 物理学 2008-02-03 D. G. Luchinsky , R. S. Maier , R. Mannella , P. V. E. McClintock , D. L. Stein

We consider the failure of localized control in a nonlinear spatially extended system caused by extremely small amounts of noise. It is shown that this failure occurs as a result of a nonlinear instability. Nonlinear instabilities can occur…

斑图形成与孤子 · 物理学 2009-11-07 Roman O. Grigoriev , Andreas Handel

An analysis of transition from chaotic to nonchaotic behavior and synchronization in an ensemble of systems driven by identical random forces is presented. The synchronization phenomenon is investigated in the ensemble of particles moving…

chao-dyn · 物理学 2015-06-24 B. Kaulakys , F. Ivanauskas , T. Meskauskas

Unidirectionally coupled dynamical system is studied by focusing on the input (or boundary) dependence. Due to convective instability, noise at an up-flow is spatially amplified to form an oscillation. The response, given by the down-flow…

chao-dyn · 物理学 2009-10-31 Koichi Fujimoto , Kunihiko Kaneko

We propose here a stochastic binary element whose transition rate depends on its state at a fixed interval in the past. With this delayed stochastic transition this is one of the simplest dynamical models under the influence of ``noise''…

统计力学 · 物理学 2009-10-31 Toru Ohira , Yuzuru Sato