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We analyse the statistics of the shear stress in a one dimensional \emph{model fluid}, that exhibits a rich phase behaviour akin to real complex fluids under shear. We show that the energy flux satisfies the Gallavotti-Cohen FT across all…

统计力学 · 物理学 2016-09-06 Pritha Dolai , Aditi Simha

The dynamics of a passive scalar plume in a turbulent boundary layer is experimentally investigated via vertical turbulent transport time-series. Data are acquired in a rough-wall turbulent boundary layer that develops in a recirculating…

流体动力学 · 物理学 2019-10-10 Giovanni Iacobello , Massimo Marro , Luca Ridolfi , Pietro Salizzoni , Stefania Scarsoglio

We propose a computational method for large deviation statistics of time-averaged quantities in general Markov processes. In our proposed method, we repeat a response measurement against external forces, where the forces are determined by…

统计力学 · 物理学 2014-03-12 Takahiro Nemoto , Shin-ichi Sasa

The dynamics of particles in turbulence when the particle-size is larger than the dissipative scale of the carrier flow is studied. Recent experiments have highlighted signatures of particles finiteness on their statistical properties,…

We study large deviations asymptotics for a class of unbounded additive functionals, interpreted as normalized accumulated areas, of one-dimensional Langevin diffusions with sub-linear gradient drifts. Our results provide parametric…

概率论 · 数学 2023-10-23 Mihail Bazhba , Jose Blanchet , Roger J. A. Laeven , Bert Zwart

We develop a stochastic model for Lagrangian velocity as it is observed in experimental and numerical fully developed turbulent flows. We define it as the unique statistically stationary solution of a causal dynamics, given by a stochastic…

Consider the Totally Asymmetric Simple Exclusion Process (TASEP) on the integer lattice $ \mathbb{Z} $. We study the functional Large Deviations of the integrated current $ \mathsf{h}(t,x) $ under the hyperbolic scaling of space and time by…

概率论 · 数学 2019-02-14 Stefano Olla , Li-Cheng Tsai

We study the thermodynamics of an exactly solvable model of a self-interacting partially directed self-avoiding walk (DSAW) in two dimensions, when a force is applied on one end of the chain. The critical force for the unfolding is…

统计力学 · 物理学 2009-11-10 A. Rosa , D. Marenduzzo , A. Maritan , F. Seno

We consider the evolution of a family of 2D dispersive turbulence models. The members of this family involve the nonlinear advection of a dynamically active scalar field, the locality of the streamfunction-scalar relation is denoted by…

流体动力学 · 物理学 2009-02-20 Jai Sukhatme , Leslie M. Smith

We study tail risk dynamics in high-frequency financial markets and their connection with trading activity and market uncertainty. We introduce a dynamic extreme value regression model accommodating both stationary and local unit-root…

计量经济学 · 经济学 2023-01-05 Julien Hambuckers , Li Sun , Luca Trapin

It will be discussed the statistics of the extreme values in time series characterized by finite-term correlations with non-exponential decay. Precisely, it will be considered the results of numerical analyses concerning the return…

统计力学 · 物理学 2009-11-13 Cecilia Pennetta

While stretching of a polymer along a flat surface is hardly different from the classical Pincus problem of pulling chain ends in free space, the role of curved geometry in conformational statistics of the stretched chain is an exciting…

软凝聚态物质 · 物理学 2022-08-30 Kirill E. Polovnikov , Sergei K. Nechaev , Alexander Y. Grosberg

We study fluctuating dynamics of a freely movable piston that separates an infinite cylinder into two regions filled with ideal gas particles at the same pressure but different temperatures. To investigate statistical properties of the…

统计力学 · 物理学 2021-02-15 Masato Itami , Yohei Nakayama , Naoko Nakagawa , Shin-ichi Sasa

The masses of data now available have opened up the prospect of discovering weak signals using machine-learning algorithms, with a view to predictive or interpretation tasks. As this survey of recent results attempts to show, bringing…

统计理论 · 数学 2026-05-06 Stephan Clémençon , Anne Sabourin

Complex flow fields govern the deformation of polymers in various manufacturing processes. However, high flow rates may trigger reaction events (i.e., bond breaking or undesirable reaction of mechanophores) in raw polymeric materials,…

软凝聚态物质 · 物理学 2025-06-05 Mingchao Wang , Stephen Sanderson , Debra J. Searles

We use extreme value theory to estimate the probability of successive exceedances of a threshold value of a time-series of an observable on several classes of chaotic dynamical systems. The observables have either a Fr\'echet (fat-tailed)…

动力系统 · 数学 2023-11-07 Meagan Carney , Mark Holland , Matthew Nicol , Phuong Tran

We investigate the distribution and multiple occurrences of extreme events stochastic processes constructed by sampling the solution of a Stochastic Differential Equation on $\mathbb{R}^n$. We do so by studying the action of an annealead…

动力系统 · 数学 2024-03-20 F. Flandoli , S. Galatolo , P. Giulietti , S. Vaienti

We derive exact expressions for the finite-time statistics of extrema (maximum and minimum) of the spatial displacement and the fluctuating entropy flow of biased random walks. Our approach captures key features of extreme events in…

统计力学 · 物理学 2021-02-10 Alexandre Guillet , Édgar Roldán , Frank Jülicher

We apply non-extensive methods to the statistical analysis of fully developed turbulent flows. Probability density functions of velocity differences at distance r obtained by extremizing the Tsallis entropies coincide well with what is…

统计力学 · 物理学 2007-05-23 Christian Beck

Constitutive modeling of dielectric elastomers has been of long standing interest in mechanics. Over the last two decades rigorous constitutive models have been developed that couple the electrical response of these polymers with large…

软凝聚态物质 · 物理学 2021-10-19 Matthew Grasinger , Kaushik Dayal , Gal deBotton , Prashant K. Purohit