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Irreversible processes accomplished in a fixed time involve nonlinearly coupled flows of matter, energy, and information. Here, using entropy production as an example, we show how thermodynamic uncertainty relations and speed limits on…

统计力学 · 物理学 2021-05-12 Schuyler B. Nicholson , Jason R. Green

Particles bound to an interface interact because they deform its shape. The stresses that result are fully encoded in the geometry and described by a divergence-free surface stress tensor. This stress tensor can be used to express the force…

软凝聚态物质 · 物理学 2007-05-23 Martin Michael Mueller , Markus Deserno , Jemal Guven

For the data analysis problem of shock-ramp compression, i.e., ramp compression after a relatively strong initial shock, a characteristics-based method that strictly deals with the initial hydrodynamic shock is described in detail.…

计算工程、金融与科学 · 计算机科学 2024-03-21 Jingxiang Shen , Wei Kang

Sampling synthetic turbulent fields as a computationally tractable surrogate for direct numerical simulations (DNS) is an important practical problem in various applications, and allows to test our physical understanding of the main…

流体动力学 · 物理学 2025-11-19 Timo Schorlepp , Katharina Kormann , Jeremiah Lübke , Tobias Schäfer , Rainer Grauer

We study the problem of estimating the score function using both implicit score matching and denoising score matching. Assuming that the data distribution exhibiting a low-dimensional structure, we prove that implicit score matching is able…

统计理论 · 数学 2026-01-01 Konstantin Yakovlev , Anna Markovich , Nikita Puchkin

Finding interdependency relations between (possibly multivariate) time series provides valuable knowledge about the processes that generate the signals. Information theory sets a natural framework for non-parametric measures of several…

信息论 · 计算机科学 2016-02-09 German Gomez-Herrero , Wei Wu , Kalle Rutanen , Miguel C. Soriano , Gordon Pipa , Raul Vicente

We investigate the use of a logarithmic density variable in estimating the Lagrangian displacement field, motivated by the success of a logarithmic transformation in restoring information to the matter power spectrum. The logarithmic…

宇宙学与河外天体物理 · 物理学 2015-03-19 Bridget L. Falck , Mark C. Neyrinck , Miguel A. Aragon-Calvo , Guilhem Lavaux , Alexander S. Szalay

It is nowadays widely acknowledged that optimal structural design should be robust with respect to the uncertainties in loads and material parameters. However, there are several alternatives to consider such uncertainties in structural…

计算工程、金融与科学 · 计算机科学 2022-01-26 Gustavo Assis da Silva , Eduardo Lenz Cardoso , Andre T. Beck

The statistics of lagrangian velocity divergence are studied for an assembly of particles in compressible turbulence on a free surface. Under an appropriate definition of entropy, the two-dimensional lagrangian velocity divergence of a…

混沌动力学 · 物理学 2009-11-11 M. M. Bandi , J. R. Cressman , W. I. Goldburg

Dense non-Brownian suspensions exhibit a spectacular and abrupt drop in viscosity under change of shear direction, as revealed by shear inversions (reversals) or orthogonal superposition. Here, we introduce an experimental setup to…

Accurate and robust models for the pressure strain correlation are an essential component for the success of Reynolds Stress Models in turbulent flow simulations. However replicating the non-local action of pressure using only local tensors…

流体动力学 · 物理学 2017-12-22 J. P. Panda , H. V. Warrior

The fundamental relationship of traffic flow is empirically estimated by fitting a regression curve to a cloud of observations of traffic variables. Such estimates, however, may suffer from the confounding/endogeneity bias due to omitted…

计量经济学 · 经济学 2021-04-07 Anupriya , Daniel J. Graham , Daniel Hörcher , Prateek Bansal

We compute the Hamiltonian and Lagrangian associated to the large deviations of the trajectory of the empirical distribution for independent Markov processes, and of the empirical measure for translation invariant interacting Markov…

概率论 · 数学 2015-06-17 Frank Redig , Feijia Wang

The random coefficients model is an extension of the linear regression model that allows for unobserved heterogeneity in the population by modeling the regression coefficients as random variables. Given data from this model, the statistical…

统计方法学 · 统计学 2018-03-15 Fabian Dunker , Konstantin Eckle , Katharina Proksch , Johannes Schmidt-Hieber

How energy is converted into thermal energy in weakly collisional and collisionless plasma processes such as magnetic reconnection and plasma turbulence has recently been the subject of intense scrutiny. The pressure-strain interaction has…

等离子体物理 · 物理学 2023-05-31 M. Hasan Barbhuiya , Paul A. Cassak

We study the fronts that appear when a shear-thickening suspension is submitted to a sudden driving force at a boundary. Using a quasi-one-dimensional experimental geometry, we extract the front shape and the propagation speed from the…

软凝聚态物质 · 物理学 2018-07-18 Endao Han , Matthieu Wyart , Ivo R. Peters , Heinrich M. Jaeger

Lagrangian stochastic models are widely used to predict and analyze turbulent dispersion in complex environments, such as in various terrestrial and marine canopy flows. However, due to a lack of empirical data, it is still not understood…

流体动力学 · 物理学 2020-09-09 Ron Shnapp , Yardena Bohbot-Raviv , Alex Liberzon , Eyal Fattal

We present a theory and accompanying importance sampling method for computing rate constants in spatially inhomogenious systems. Using the relationship between rate constants and path space partition functions, we illustrate that the…

统计力学 · 物理学 2019-06-05 Addison J. Schile , David T. Limmer

We introduce an approach which allows detecting causal relationships between variables for which the time evolution is available. Causality is assessed by a variational scheme based on the Information Imbalance of distance ranks, a…

统计方法学 · 统计学 2024-05-07 Vittorio Del Tatto , Gianfranco Fortunato , Domenica Bueti , Alessandro Laio

Divergence estimators based on direct approximation of density-ratios without going through separate approximation of numerator and denominator densities have been successfully applied to machine learning tasks that involve distribution…

机器学习 · 统计学 2011-06-24 Makoto Yamada , Taiji Suzuki , Takafumi Kanamori , Hirotaka Hachiya , Masashi Sugiyama