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We study the time until first occurrence, the first-passage time, of rare density fluctuations in diffusive systems. We approach the problem using a model consisting of many independent random walkers on a lattice. The existence of spatial…

Statistical Mechanics · Physics 2008-05-16 David P. Sanders , Hernán Larralde

Optical signal propagation through underwater channels is affected by three main degrading phenomena, namely absorption, scattering, and fading. In this paper, we experimentally study the statistical distribution of intensity fluctuations…

We investigate consecutive absorption or emission of photons of the quantum mechanical harmonic oscillator as a possible source of 1/f fluctuations. Separating the absorption and emission process, we show that consecutively absorbed or…

Data Analysis, Statistics and Probability · Physics 2012-05-31 Ferdinand Grueneis

When propagating through periodically structured media, i. e. photonic crystals, optical waves will be modulated with the periodicity. As a result, the dispersion of waves will no longer behave as in a free space, and so called frequency…

Materials Science · Physics 2009-11-10 Chao-Hsien Kuo , Zhen Ye

The realization that electron localization in disordered systems (Anderson localization) is ultimately a wave phenomenon has led to the suggestion that photons could be similarly localized by disorder. This conjecture attracted wide…

Disordered Systems and Neural Networks · Physics 2017-05-10 A. A. Chabanov , M. Stoytchev , A. Z. Genack

We consider light-induced binding and motion of dielectric microparticles in an optical waveguide that gives rise to a back-action effect such as light transmission oscillating with time. Modeling the particles by dielectric slabs allows us…

Optics · Physics 2017-03-07 Almas F. Sadreev , E. Ya. Sherman

We study the statistics of the fluorescence decay rates for single quantum emitters embedded in a scattering medium undergoing a phase transition. Under certain circumstances, the structural properties of the scattering medium explore a…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 N. de Sousa , J. J. Sáenz , F. Scheffold , A. García-Martín , L. S. Froufe-Pérez

The temporal activity of many biological systems, including neural circuits, exhibits fluctuations simultaneously varying over a large range of timescales. The mechanisms leading to this temporal heterogeneity are yet unknown. Here we show…

Disordered Systems and Neural Networks · Physics 2022-08-03 Merav Stern , Nicolae Istrate , Luca Mazzucato

This paper will deal with isolated laser pulses, those which last for a finite time interval and whose envelope function is strictly zero outside of this interval. We numerically calculate the Fourier transform of this function and study…

Quantum Physics · Physics 2025-11-14 L. H. Ford , Brian Fu

We study the effects of discrete, randomly distributed time delays on the dynamics of a coupled system of self-propelling particles. Bifurcation analysis on a mean field approximation of the system reveals that the system possesses patterns…

Pattern Formation and Solitons · Physics 2015-06-05 Luis Mier-y-Teran-Romero , Brandon Lindley , Ira B. Schwartz

Single pulses of pulsar radio emission are modeled as superposition of radiation originating from many small subsources that are randomly distributed in the emission region. The individual subsources are given an intrinsic finite angular…

Astrophysics · Physics 2009-11-10 Qinghuan Luo

Temporal diffraction from rapidly time-modulated materials can generate new frequency components not present in an incident wave. In such an experiment, the spectral extent of these new frequencies is determined by the rate of modulation…

Optics · Physics 2025-07-08 E. Hendry , C. M. Hooper , W. P. Wardley , S. A. R. Horsley

We investigate fluctuation phenomena for the graph distance and the number of cut points associated with random media arising from the range of a random walk. Our results demonstrate a sequence of dimension-dependent phase transitions in…

Probability · Mathematics 2026-03-18 Arka Adhikari , Izumi Okada

Diffusivity in some soft matter and biological systems changes with time, called the fluctuating diffusivity. In this work, we propose a novel origin for fluctuating diffusivity based on stochastic simulations of binary gas mixtures. In…

Statistical Mechanics · Physics 2023-02-01 Fumiaki Nakai , Yuichi Masubuchi , Yuya Doi , Takato Ishida , Takashi Uneyama

Synchronization by exchange of pulses is a widespread phenomenon, observed in flashing fireflies, applauding audiences and the neuronal network of the brain. Hitherto the focus has been on integrate-and-fire oscillators. Here we consider…

Mathematical Physics · Physics 2012-12-13 Gunnar Pruessner , Seng Cheang , Henrik Jeldtoft Jensen

A remarkable phenomenon of superoscillations implies that electromagnetic waves can locally oscillate in space or time faster than the fastest spatial and temporal Fourier component of the entire function. This phenomenon allows to focus…

Optics · Physics 2025-04-18 Yijie Shen , Nikitas Papasimakis , Nikolay I. Zheludev

We study fluctuations of particle absorption by a three-dimensional domain with multiple absorbing patches. The domain is in contact with a gas of interacting diffusing particles. This problem is motivated by living cell sensing via…

Statistical Mechanics · Physics 2017-06-28 Tal Agranov , Baruch Meerson

Frequency-filtered photon correlations have been proven to be extremely useful in grasping how the detection process alters photon statistics. Harnessing the spectral correlations also permits refinement of the emission and unraveling of…

We apply a theory of wave propagation through a turbulent medium to the scattering of radio waves in pulsar magnetospheres. We find that under conditions of strong density modulation the effects of magnetospheric scintillations in…

Astrophysics · Physics 2009-10-31 Maxim Lyutikov , Anuj Parikh

The propagation of a narrow-band signal radiated by a point source in a randomly layered absorbing medium is studied asymptotically in the weak-scattering limit. It is shown that in a disordered stratified medium that is homogeneous on…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. D. Freilikher , Yu. V. Tarasov
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