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A novel formulation of the electron energy relaxation terms is presented here, which is applicable to plasma flows and discharges wherein the electron temperature could be higher or lower than the gas temperature. It is demonstrated that…

等离子体物理 · 物理学 2024-08-08 Bernard Parent , Felipe Martin Rodriguez Fuentes

A dynamical system derived from a conceptual climate model is investigated. The model is often referred to as Budyko-Sellers type Energy Balance Model (EBM), or in short, the Budyko model. The focus of this study is on the mathematical…

动力系统 · 数学 2015-03-19 Esther R. Widiasih

We consider the governing equations for the motion of the viscous fluids in two moving domains and an evolving surface from both energetic and thermodynamic points of view. We make mathematical models for multiphase flow with surface flow…

数学物理 · 物理学 2023-01-10 Hajime Koba

We introduce an energy-based model, which seems especially suited for constrained systems. The proposed model provides an alternative to the popular port-Hamiltonian framework and exhibits similar properties such as energy dissipation as…

数值分析 · 数学 2024-12-10 R. Altmann , P. Schulze

In this paper, two approaches for modeling three-component fluid flows using diffusive interface method are discussed. Thermodynamic consistency of the proposed models is preserved when using an energetic variational framework to derive the…

偏微分方程分析 · 数学 2018-10-12 Arkadz Kirshtein , James Brannick , Chun Liu

We study the long-time behaviour of the temperature-driven compressible flows. We show that numerical solutions of a structure-preserving finite volume method generate a discrete attractor that consists of entire discrete trajectories.…

数值分析 · 数学 2026-04-07 Eduard Feireisl , Maria Lukacova-Medvidova , Bangwei She , Yuhuan Yuan

Forced convection cooling is important in numerous technologies ranging from microprocessors in data centers to turbines and engines; active cooling is essential in these situations. However, active transfer of heat or thermal energy under…

化学物理 · 物理学 2020-01-08 Yutaka Ikeda , Kazuki Fukui , Yoichi Murakami

Finite electron gyro-radius influences on the trapping and charge density distribution of electron holes of limited transverse extent are calculated analytically and explored by numerical orbit integration in low to moderate magnetic…

等离子体物理 · 物理学 2021-06-02 I H Hutchinson

We investigate the accuracy and efficiency of the semiclassical Frozen Gaussian method in describing electron dynamics in real time. Model systems of two soft-Coulomb-interacting electrons are used to study correlated dynamics under…

化学物理 · 物理学 2015-05-30 Peter Elliott , Neepa T. Maitra

We consider compressible fluid flow on an evolving surface with a piecewise Lipschitz-continuous boundary from an energetic point of view. We employ both an energetic variational approach and the first law of thermodynamics to make a…

数学物理 · 物理学 2022-12-20 Hajime Koba

The definition of a nonequilibrium temperature through generalized fluctuation-dissipation relations relies on the independence of the fluctuation-dissipation temperature from the observable considered. We argue that this observable…

统计力学 · 物理学 2015-03-13 Kirsten Martens , Eric Bertin , Michel Droz

In this study, we have derived a thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects. This model accommodates variations in physical properties such as density, viscosity, heat capacity, and…

流体动力学 · 物理学 2024-04-09 Yanxiao Sun , Jiang Wu , Maosheng Jiang , Steven M. Wise , Zhenlin Guo

The guiding center and gyrokinetic theory of magnetized particle motion is extended to the regime of large electric field gradients perpendicular to the magnetic field. A gradient in the electric field directly modifies the oscillation…

等离子体物理 · 物理学 2021-04-21 Ilon Joseph

We obtain self-similar solutions that describe the dynamics of a self-gravitating, rotating, viscous system. We use simplifying assumptions; but explicitly include viscosity and the cooling due to the dissipation of energy. By assuming that…

天体物理学 · 物理学 2009-11-07 Mohsen Shadmehri , Jamshid Ghanbari

It has long been conjectured that, in three dimensional turbulence, velocity modes at scales larger than the forcing scale follow equilibrium dynamics. Recent numerical and experimental evidence show that such modes share the same mean…

流体动力学 · 物理学 2023-11-27 Alexandros Alexakis , Sergio Chibbaro , Guillaume Michel

Using particle trajectory data obtained from x-ray tomography, we determine two kinds of effective temperatures in a cyclically sheared granular system. The first one is obtained from the fluctuation-dissipation theorem which relates the…

软凝聚态物质 · 物理学 2022-12-07 Zhikun Zeng , Shuyang Zhang , Xu Zheng , Chengjie Xia , Walter Kob , Ye Yuan , Yujie Wang

We describe an energy-enstrophy conserving discretisation for the rotating shallow water equations with slip boundary conditions. This relaxes the assumption of boundary-free domains (periodic solutions or the surface of a sphere, for…

数值分析 · 数学 2018-08-01 Werner Bauer , Colin J Cotter

Turbulent flows are out-of-equilibrium because the energy supply at large scales and its dissipation by viscosity at small scales create a net transfer of energy among all scales. Here, the energy cascade is approximated by a combined…

流体动力学 · 物理学 2021-01-11 Amilcare Porporato , Milad Hooshyar , Andrew D Bragg , Gabriel Katul

A systematic study of energy conservation for extended magnetohydrodynamic (MHD) models that include Hall terms and electron inertia is performed. It is observed that commonly used models do not conserve energy in the ideal limit, i.e.,…

等离子体物理 · 物理学 2015-06-19 Keiji Kimura , P. J. Morrison

We calculate the net energy per unit time exchanged between two sets of modes in a generic system governed by a three-wave kinetic equation. Our calculation is based on the property of detailed energy conservation of the triadic resonant…

流体动力学 · 物理学 2023-01-18 Giovanni Dematteis , Yuri V. Lvov