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We discuss and briefly overview recent progress with studying fluctuations in scattering on a resonance state coupled to the background of many chaotic states. Such a problem arises naturally, e.g., when dealing with wave propagation in the…

量子物理 · 物理学 2017-12-21 D. V. Savin

We discuss intrinsic mechanisms of nonequilibrium excess noise in superconducting devices and transition edge sensors. In particular, we present an overview of fluctuation-driven contributions to the current noise in the vicinity of the…

超导电性 · 物理学 2023-08-25 Juhun Kwak , Emil Pellett , Elio J. König , Alex Levchenko

This article studies typical dynamics and fluctuations for a slow-fast dynamical system perturbed by a small fractional Brownian noise. Based on an ergodic theorem with explicit rates of convergence, which may be of independent interest, we…

概率论 · 数学 2020-08-20 Solesne Bourguin , Siragan Gailus , Konstantinos Spiliopoulos

The excitation of an autoionizing resonance by intense radiation requires a theoretical description beyond the transition probability per unit time. This implies a time-dependent formulation incorporating all features of the radiation…

量子物理 · 物理学 2019-01-30 G. Mouloudakis , P. Lambropoulos

We pursue our study of integrable weak noise theories of directed polymer and interacting particle stochastic models in the 1D KPZ universality class. Here we focus on the $q$-TASEP in either continuous or discrete time. Each particle on…

统计力学 · 物理学 2026-02-27 Alexandre Krajenbrink , Pierre Le Doussal

The principal aim of the present work is to explore limit theorems for small random perturbations of dynamical systems with periodic impulse effects, in the limit of vanishing noise intensity. We start with a system whose time evolution is…

概率论 · 数学 2026-03-25 Ashif Khan , Chetan D. Pahlajani

It was recently conjectured that 1/f noise is a fundamental characteristic of spectral fluctuations in chaotic quantum systems. This conjecture is based on the behavior of the power spectrum of the excitation energy fluctuations, which is…

混沌动力学 · 物理学 2016-08-16 E. Faleiro , J. M. G. Gómez , R. A. Molina , L. Muñoz , A. Relaño , J. Retamosa , .

We consider the long-time dynamics of a general class of nonlinear Fokker-Planck equations, describing the large population behavior of mean-field interacting units. The main motivation of this work concerns the case where the individual…

偏微分方程分析 · 数学 2020-01-08 Eric Lucon , Christophe Poquet

We analyse the effect of intrinsic fluctuations on the properties of bistable stochastic systems with time scale separation operating under1 quasi-steady state conditions. We first formulate a stochastic generalisation of the quasi-steady…

生物物理 · 物理学 2016-03-02 Roberto de la Cruz , Pilar Guerrero , Fabian Spill , Tomás Alarcón

In this work, we identify and characterize intra-pulse intensity noise shaping by saturable absorbers applied in mode-locked lasers and ultra-low noise nonlinear fiber amplifiers. Reshaped intra-pulse intensity noise distributions are shown…

光学 · 物理学 2023-03-28 Marvin Edelmann , Mikhail Pergament , Franz X. Kärtner

The fluctuation-dissipation theorem requires the presence of thermal noise in viscous fluids. The time and length scales of heavy ion collisions are small enough so that the thermal noise can have a measurable effect on observables. Thermal…

核理论 · 物理学 2015-04-16 C. Young , J. I. Kapusta , C. Gale , S. Jeon , B. Schenke

We consider the intensity pattern, generated by a monochromatic source, in a disordered cavity coupled to the environment. For weak coupling, and when the source frequency is tuned to a resonance, the intensity distribution is close to…

凝聚态物理 · 物理学 2009-10-28 R. Pnini , B. Shapiro

We present a systematic study of moment evolution in multidimensional stochastic difference systems, focusing on characterizing systems whose low-order moments diverge in the neighborhood of a stable fixed point. We consider systems with a…

数学物理 · 物理学 2009-11-10 Dennis M. Wilkinson

The theory of Balanced Neural Networks is a very popular explanation for the high degree of variability and stochasticity in the brain's activity. Roughly speaking, it entails that typical neurons receive many excitatory and inhibitory…

概率论 · 数学 2025-05-27 James MacLaurin , Pedro Vilanova

We have investigated by molecular dynamics method the influence of a finite number of particles used in computer simulations on fluctuations of thermodynamic properties. As a case study, we used the two-dimensional Lennard-Jones system. 2D…

统计力学 · 物理学 2024-03-05 M. V. Kondrin , Y. B. Lebed

Stronger light intensity fluctuations are pursued by related applications such as optical resolution, image enhancement, and beam positioning. In this paper, an Nth-order light intensity fluctuation amplifier is proposed, which was…

We present a one-dimensional model for diffusion in a fluctuating lattice; that is a lattice which can be in two or more states. Transitions between the lattice states are induced by a combination of two processes: one periodic…

统计力学 · 物理学 2007-05-23 Jorge A. Revelli , Carlos. E. Budde , Horacio S. Wio

We study the interplay between noise and a positive feedback mechanism in an excitable system that generates events. We show that such a system can exhibit a bistability in the dynamics of the event generation (states of low and high…

统计力学 · 物理学 2014-10-22 Justus A. Kromer , Reynaldo D. Pinto , Benjamin Lindner , Lutz Schimansky-Geier

The kinetics of relaxation in quantum systems induced by anomalous fluctuating noise is studied in detail. In this study two processes are considered, as examples: (1) relaxation in two-level system caused by external noise with slowly…

统计力学 · 物理学 2007-05-23 A. I. Shushin

The unpredictability in chaotic scattering problems is a fundamental topic in physics that has been studied either in purely conservative systems or in the presence of weak perturbations. In many systems noise plays an important role in the…

混沌动力学 · 物理学 2021-07-14 Alexandre R. Nieto , Jesús M. Seoane , Miguel A. F. Sanjuán