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While language progresses through a sequence of semantic states, the underlying dynamics of this progression remain elusive. Here, we treat the semantic progression of written text as a stochastic trajectory in a high-dimensional state…

计算与语言 · 计算机科学 2026-01-30 Debayan Dasgupta

The fundamental difference between incompressible ideal magnetohydrodynamics and the dynamics of a non-conducting fluid is that magnetic fields exert a tension force that opposes their bending; magnetic fields behave like elastic strings…

高能天体物理现象 · 物理学 2020-10-21 D. N. Hosking , A. A. Schekochihin , S. A. Balbus

Magnetohydrodynamic (MHD) turbulence is a cross-field process relevant to many systems. A prerequisite for understanding these systems is to constrain the role of MHD turbulence, and in particular the energy exchange between kinetic and…

流体动力学 · 物理学 2023-04-10 R. Skalidis , K. Tassis , V. Pavlidou

In this paper, we study the statistical evolution of the large-scale structure (LSS), focusing on the joint probability distribution function (PDF) of the coarse-grained cosmic field and its role in constructing effective dynamics. As the…

宇宙学与河外天体物理 · 物理学 2021-10-20 Xin Wang

Magnetohydrodynamic (MHD) turbulence in the majority of natural systems, including the interstellar medium, the solar corona, and the solar wind, has Reynolds numbers far exceeding the Reynolds numbers achievable in numerical experiments.…

太阳与恒星天体物理 · 物理学 2015-06-22 J. C. Perez , J. Mason , S. Boldyrev , F. Cattaneo

Motivated by explosive releases of energy in fusion, space and astrophysical plasmas, we consider the nonlinear stability of stratified magnetohydrodynamic (MHD) equilibria against two-dimensional interchanges of straight magnetic-flux…

高能天体物理现象 · 物理学 2024-12-10 David N. Hosking , David Wasserman , Steven C. Cowley

We investigate the dependency with scale of the empirical probability distribution functions (PDF) of Elsasser increments using large sets of WIND data (collected between 1995 and 2017) near 1 au. The empirical PDF are compared to the ones…

太阳与恒星天体物理 · 物理学 2022-11-30 Juan C. Palacios , Sofiane Bourouaine , Jean C. Perez

This is a continuation of our previous joint work on the $\st$-model in[\textit{Well-posedness and long time behavior of the Euler Alignment System with adaptive communication strength}, accepted at the Abel Symposium Proceedings, also…

偏微分方程分析 · 数学 2025-03-27 Roman Shvydkoy , Trevor Teolis

In three dimensional toroidal domains without symmetry, the standard magnetohydrodynamic (MHD) equilibrium model used for magnetic confinement fusion does not generally support smooth solutions. Instead, solutions have singular plasma…

等离子体物理 · 物理学 2026-04-13 Maximilian Ruth , Joshua W. Burby , Wrick Sengupta , Andrew Brown

We develop a phenomenological model of strong imbalanced magnetohydrodynamic (MHD) turbulence that accounts for intermittency and the reflection of Alfven waves by spatial variations in the Alfven speed. Our model predicts the slopes of the…

等离子体物理 · 物理学 2025-02-10 B. D. G. Chandran , N. Sioulas , S. Bale , T. Bowen , V. David , R. Meyrand , E. Yerger

It is proposed that critical balance - a scale-by-scale balance between the linear propagation and nonlinear interaction time scales - can be used as a universal scaling conjecture for determining the spectra of strong turbulence in…

流体动力学 · 物理学 2011-07-26 S. V. Nazarenko , A. A. Schekochihin

Many astrophysical small-scale dynamos (SSDs) amplify weak magnetic fields via highly compressible, supersonic turbulence, but established SSD theories have overlooked these compressible effects. To address this, we perform visco-resistive…

星系天体物理 · 物理学 2025-02-12 Neco Kriel , James R. Beattie , Christoph Federrath , Mark R. Krumholz , Justin Kin Jun Hew

We discuss a few recent developments that are important for understanding of MHD turbulence. First, MHD turbulence is not so messy as it is usually believed. In fact, the notion of strong non-linear coupling of compressible and…

天体物理学 · 物理学 2009-11-10 A. Lazarian , J. Cho

We consider stationary, forced, imbalanced, or cross-helical MHD Alfvenic turbulence where the waves traveling in one direction have higher amplitudes than the opposite waves. This paper is dedicated to so-called strong turbulence, which…

天体物理学 · 物理学 2009-11-13 A. Beresnyak , A. Lazarian

The energy spectrum of magnetohydrodynamic turbulence attracts interest due to its fundamental importance and its relevance for interpreting astrophysical data. Here we present measurements of the energy spectra from a series of…

太阳与恒星天体物理 · 物理学 2012-09-11 Jean Carlos Perez , Joanne Mason , Stanislav Boldyrev , Fausto Cattaneo

The strong Allee effect plays an important role on the evolution of population in ecological systems. One important concept is the Allee threshold that determines the persistence or extinction of the population in a long time. In general, a…

偏微分方程分析 · 数学 2024-08-05 Fanze Kong , Juncheng Wei

We present a phenomenological model of imbalanced MHD turbulence in an incompressible magnetofluid. The steady-state cascades, of waves traveling in opposite directions along the mean magnetic field, carry unequal energy fluxes to small…

天体物理学 · 物理学 2008-11-26 Yoram Lithwick , Peter Goldreich , S. Sridhar

In this work we numerically test a model of Hall magnetohydrodynamics in the presence of a strong mean magnetic field, the reduced Hall MHD model (RHMHD) derived by Gomez et al., with the addition of weak compressible effects. The main…

等离子体物理 · 物理学 2012-02-28 L. N. Martin , P. Dmitruk , D. O. Gomez

Turbulence in an incompressible fluid with and without a magnetic field as well as moderately compressible MHD turbulence are compared. For the magnetohydrodynamic (MHD) models the probability distribution functions of the velocity…

天体物理学 · 物理学 2007-05-23 Nicholas Hall , G. Kowal , A. Lazarian , Jungyeon Cho

Large eddy simulations (LES) are a powerful tool in understanding processes that are inaccessible by direct simulations due to their complexity, for example, in the highly turbulent regime. However, their accuracy and success depends on a…

流体动力学 · 物理学 2017-03-27 Philipp Grete , Dimitar G Vlaykov , Wolfram Schmidt , Dominik R G Schleicher