The dynamics of thermalization in the Galerkin-truncated, three-dimensional Euler equation [0.03%]
Galerkin截断的三维欧拉方程中的热化动力学
C Rajarshi,Mohammad Saif Khan,Prateek Anand et al.
C Rajarshi et al.
The three-dimensional (3D) incompressible Euler equation when projected via a Galerkin truncation on a finite-dimensional subspace spanning wavenumbers -KG≤k≤KG, and hence retaining a finite number of modes NG, leads to absolute equilibri...
Spontaneous stochasticity in the fluctuating Navier-Stokes equations on a logarithmic lattice [0.03%]
对数格子上带有随机涨落的Navier-Stokes方程的自发随机性
Erika Paola Ortiz Bernal,Ciro S Campolina,Alexei A Mailybaev
Erika Paola Ortiz Bernal
The predictability of turbulent flows remains a challenging problem for mathematicians, physicists and meteorologists. In this context, we consider the three-dimensional incompressible Navier-Stokes equations with small-scale random forcing...
Emergent dynamical scaling in the inviscid limit of three-dimensional stochastic Navier-Stokes equation with thermal noise [0.03%]
三维热噪声随机Navier-Stokes方程的无粘极限中的涌现动力学刻划
Liubov Gosteva,Marc Etienne Brachet,Léonie Canet
Liubov Gosteva
In this work, we investigate the Navier-Stokes equation in the presence of thermal noise, both at finite viscosity (revisiting the seminal work by Forster-Nelson-Stephen) and in the inviscid limit,which has not yet been explored. We determi...
Numerical investigations around the Gallavotti-Cohen fluctuation theorem on log-lattices [0.03%]
基于对数格点的Gallavotti-Cohen fluctuations定理的数值研究
Guillaume Costa,Bérengère Dubrulle
Guillaume Costa
Using the recent concept of fluids projected onto log-lattices (LL), we investigate the validity of the Gallavotti-Cohen fluctuation theorem (GCFT) in the context of fluid mechanics. The dynamics of viscous flows are inherently irreversible...
Self-gravitating superfluids: the Gross-Pitaevskii-Poisson framework [0.03%]
具有自引力的超流体：Gross-Pitaevskii-Poisson框架
Sanjay Shukla,Marc Etienne Brachet,Rahul Pandit
Sanjay Shukla
We provide an overview of the Gross-Pitaevskii- Poisson equation (GPPE) that is used to model self-gravitating superfluid systems, which include gravitationally collapsed boson and axion stars and dark-matter haloes (DMHs). We outline how t...
Luca Moriconi,Rodrigo M Pereira
Luca Moriconi
Thin vortex tubes, with core sizes within the dissipation range, are profuse in a homogeneous and isotropic turbulent flow. Their intersections with an arbitrary plane define, as a mathematical construct, a dilute gas of localized, intermit...
Beyond chaos: fluctuations, anomalies and spontaneous stochasticity in fluid turbulence [0.03%]
超越混沌：流体湍流中的波动、异常和自发随机性
Gregory Eyink,Nigel Goldenfeld
Gregory Eyink
In this perspective, we consider the development of statistical hydrodynamics, focusing on the way in which the intrinsic stochasticity of turbulent phenomena was identified and is being explored. A major purpose of our discussion is to bri...
Hanxun Yao,Tamer Zaki,Charles Meneveau
Hanxun Yao
The entropy generation rate in turbulence can be defined using the energy cascade rate as described in the scale-integrated Kolmogorov-Hill equation at a specified length scale. The fluctuation relation (FR) from non-equilibrium thermodynam...
Nijesh Upreti,Vaishak Belle
Nijesh Upreti
Weak supervision enables machine learning models to learn from limited or noisy labels, but it introduces challenges in reliability and semantic clarity, particularly in multi-instance partial label learning (MI-PLL), where models must reso...
Peter Grindrod CBE
Peter Grindrod CBE
As we learn more about the inner cognitive workings of the brain's information processing and decision-making behaviours, this naturally leads us to consider alternative and additional ways to process information, from chips and architectur...