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A stochastic model is presented for a super-position of uncorrelated pulses with a random distribution of amplitudes, sizes, velocities and arrival times. The pulses are assumed to move radially with fixed shape and amplitudes decaying…

等离子体物理 · 物理学 2023-05-10 J. M. Losada , A. Theodorsen , O. E. Garcia

In particle-laden turbulence, the Fourier Lagrangian spectrum of each phase is regularly computed, and analytically derived response functions relate the Lagrangian spectrum of the fluid- and the particle phase. However, due to the periodic…

流体动力学 · 物理学 2023-06-07 Martin Schiødt , Azur Hodzic , Fabien Evrard , Max Hausmann , Berend Van Wachem , Clara M. Velte

An approach for the description of stochastic systems is derived. Some of the variables in the system are studied forward in time, others backward in time. The approach is based on a perturbation expansion in the strength of the coupling…

统计力学 · 物理学 2021-08-04 Piero Olla

We construct a framework for the study of fluctuations in the nonequilibrium relaxation of glassy systems with and without quenched disorder. We study two types of two-time local correlators with the aim of characterizing the heterogeneous…

Kinetically constrained spin models are schematic coarse-grained models for the glass transition which represent an efficient theoretical tool to study detailed spatio-temporal aspects of dynamic heterogeneity in supercooled liquids. Here,…

统计力学 · 物理学 2009-11-11 Sébastien Léonard , Ludovic Berthier

Advanced measurement techniques and high performance computing have made large data sets available for a wide range of turbulent flows that arise in engineering applications. Drawing on this abundance of data, dynamical models can be…

流体动力学 · 物理学 2020-05-06 Armin Zare , Tryphon T. Georgiou , Mihailo R. Jovanović

A well-known stochastic model for intermittent fluctuations in physical systems is investigated. The model is given by a super-position of uncorrelated exponential pulses, and the degree of pulse overlap is interpreted as an intermittency…

等离子体物理 · 物理学 2018-01-17 Audun Theodorsen , Odd Erik Garcia

We investigate dynamical heterogeneities in the collective relaxation of a concentrated microgel system, for which the packing fraction can be conveniently varied by changing the temperature. The packing fraction dependent mechanical…

软凝聚态物质 · 物理学 2011-05-31 David A. Sessoms , Irmgard Bischofberger , Luca Cipelletti , Véronique Trappe

We report an extensive and systematic investigation of the multi-point and multi-time correlation functions to reveal the spatio-temporal structures of dynamic heterogeneities in glass-forming liquids. Molecular dynamics simulations are…

软凝聚态物质 · 物理学 2013-01-04 Kang Kim , Shinji Saito

For a stochastic system, its evolution from one state to another can have a large number of possible paths. Non-uniformity in the field of system variables leads the local dynamics in state transition varies considerably from path to path…

统计力学 · 物理学 2019-03-26 De-yu Zhong , Guang-qian Wang , Tie-jian Li , Ming-xi ZHANG , You Xia , Yu Zhang

Spatially localized oscillations in periodically forced systems are intriguing phenomena. They may occur in spatially homogeneous media (oscillons), but quite often emerge in heterogeneous media, such as the auditory system, where localized…

斑图形成与孤子 · 物理学 2020-04-21 Yuval Edri , Ehud Meron , Arik Yochelis

This paper introduces the novel class of modulated cyclostationary processes, a class of non-stationary processes exhibiting frequency coupling, and proposes a method of their estimation from repeated trials. Cyclostationary processes also…

统计方法学 · 统计学 2012-10-25 Sofia C. Olhede , Hernando Ombao

In this paper we study the stochastic area swept by a regular time-homogeneous diffusion till a stopping time. This unifies some recent literature in this area. Through stochastic time change we establish a link between the stochastic area…

风险管理 · 定量金融 2013-12-03 Zhenyu Cui

We investigate the total stochastic entropy production of a two-level bosonic open quantum system under protocols of time dependent coupling to a harmonic environment. These processes are intended to represent the measurement of a system…

量子物理 · 物理学 2023-01-24 D. Matos , L. Kantorovich , I. J. Ford

Spectroscopically measuring low levels of non-equilibrium phenomena (e.g. emission in the presence of a large thermal background) can be problematic due to an unfavorable signal-to-noise ratio. An approach is presented to use time-series…

地球物理 · 物理学 2015-04-08 John Scoville

We consider a stochastic Hodgkin-Huxley model driven by a periodic signal as model for the membrane potential of a pyramidal neuron. The associated five dimensional diffusion process is a time inhomogeneous highly degenerate diffusion for…

概率论 · 数学 2012-07-03 Reinhard Höpfner , Eva Löcherbach , Michèle Thieullen

We consider time-harmonic elastodynamic problems in heterogeneous media.cWe focus on scattering problems in the high-frequency regime and incnearly incompressible media, where the the angular frequency $\omega$ and ratio of the Lam\'e…

偏微分方程分析 · 数学 2024-03-13 T. Chaumont-Frelet , S. Nicaise

Many physical systems characterized by nonlinear multiscale interactions can be effectively modeled by treating unresolved degrees of freedom as random fluctuations. However, even when the microscopic governing equations and qualitative…

统计力学 · 物理学 2021-06-07 Jared L. Callaham , Jean-Christophe Loiseau , Georgios Rigas , Steven L. Brunton

We restrict our attention to space-time point pattern data for which we have a single realisation within a finite region. Second-order characteristics are used to analyse the spatio-temporal structure of the underlying point process. In…

统计理论 · 数学 2013-04-29 Edith Gabriel

We propose a two-dimensional spectroscopic protocol for measuring the time-dependent coherences between the stationary states of a system induced by a time-dependent system-bath interaction. We also investigate the role of…

化学物理 · 物理学 2022-01-05 William Barford , Allison Nicole Arber , Fynn McLennan , Max Marcus