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Because of the large mass differences between electrons and ions, the heat diffusion in electron-ion plasmas exhibits more complex behavior than simple heat diffusion found in typical gas mixtures. In particular, heat is diffused in two…

Plasma Physics · Physics 2021-05-12 S. Jin , A. H. Reiman , N. J. Fisch

A new diffuse interface model for a two-phase flow of two incompressible fluids with different densities is introduced using methods from rational continuum mechanics. The model fulfills local and global dissipation inequalities and is also…

Fluid Dynamics · Physics 2010-11-03 Helmut Abels , Harald Garcke , Günther Grün

Understanding current fluctuations is of fundamental importance and paves the way for the development of practical applications. According to the thermodynamic and kinetic uncertainty relations, the precision of currents can be constrained…

Statistical Mechanics · Physics 2022-10-06 Van Tuan Vo , Tan Van Vu , Yoshihiko Hasegawa

The conformal flow of metrics [2] has been used to successfully establish a special case of the Penrose inequality, which yields a lower bound for the total mass of a spacetime in terms of horizon area. Here we show how to adapt the…

General Relativity and Quantum Cosmology · Physics 2018-06-28 Qing Han , Marcus Khuri

In a very recent work, [1] claim that the scenario of temperature inhomogeneities proposed by [2] ($t2$ > 0) is not able to explain the O$^{2+}$/H$^{+}$ abundance discrepancy observed between the calculations based on the optical [OIII]…

Astrophysics of Galaxies · Physics 2023-10-03 J. Eduardo Méndez-Delgado , César Esteban , Jorge García-Rojas , Kathryn Kreckel , Manuel Peimbert

We present time-dependent simulations of a two-phase accretion flow around a black hole. The accretion flow initially is composed of an optically thick and cool disc close to the midplane, while on top and below the disc there is a hot and…

Astrophysics · Physics 2008-11-26 M. Mayer , J. E. Pringle

We model two temperature viscous accretion flows in the sub-Keplerian, optically thin, regime around rotating black holes including important radiation effects self-consistently. The model successfully explains observed luminosities from…

High Energy Astrophysical Phenomena · Physics 2016-11-15 Banibrata Mukhopadhyay

We reformulate the adiabatic inflow-outflow (ADIOS) model for radiatively inefficient accretion flows, treating the inflow and outflow zones on an equal footing. For purely adiabatic flows (i.e., with no radiative losses), we show that the…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Mitchell C. Begelman

The purpose of this paper is to explore the dynamical behaviour of hot accretion flow with thermal conduction. The importance of thermal conduction on hot accretion flow is confirmed by observations of the hot gas that surrounds Sgr A$^*$…

High Energy Astrophysical Phenomena · Physics 2012-05-11 Kazem Faghei

To determine the electron heat flux density on macroscopic scales, the most widely used approach is to solve a diffusion equation through a multi-group technique. This method is however restricted to transport induced by temperature…

The temporal instability of stably stratified flow was investigated by analyzing the Taylor-Goldstein equation theoretically. According to this analysis, the stable stratification $N^2\geq0$ has a destabilization mechanism, and the flow…

Fluid Dynamics · Physics 2011-10-18 Liang Sun

A self-similar solution for time evolution of quasi-spherical, self-gravitating accretion flows is obtained under the assumption that the generated heat by viscosity is retained in the flow. The solutions are parameterized by the ratio of…

Astrophysics · Physics 2009-11-10 Mohsen Shadmehri

We consider the motion of a viscous compressible and heat conducting fluid confined in the gap between two rotating cylinders (Taylor-Couette flow). The temperature of the cylinders is fixed but not necessarily constant. We show that the…

Analysis of PDEs · Mathematics 2022-08-10 Eduard Feireisl , Young Sam Kwon

The flow of a thermoelectric current through a semiconductor of submicron dimensions is analyzed. The rate of surface relaxation of the energy is assumed to be much higher than the rate of electron-electron collisions. Under these…

Condensed Matter · Physics 2007-05-23 Yu. G. Gurevich , G. N. Logvinov , O. Yu. Titov

We have developed an improved model of X-ray emission from optically thin, two-temperature accretion flows, \texttt{kerrflow}, using an exact Monte Carlo treatment of global Comptonization as well as with a fully general relativistic…

High Energy Astrophysical Phenomena · Physics 2022-06-15 Andrzej Niedźwiecki , Michał Szanecki , Andrzej A. Zdziarski , Fu-Guo Xie

The ambipolar diffusion approximation is used to model partially ionised plasma dynamics in a single fluid setting. To correctly apply the commonly used version of ambipolar diffusion, a set of criteria should be satisfied including the…

Solar and Stellar Astrophysics · Physics 2024-03-26 Andrew Hillier

Assuming self-similarity of the first kind, we get three possible values p=1/2, 1, 3/2 for the exponent describing the density profile, rho r^{-p}, of a non-radiative (and hence quasi-spherical) accretion flow. The high and low p cases are…

High Energy Astrophysical Phenomena · Physics 2013-11-25 Andrei Gruzinov

The thermodynamic uncertainty relations provide a universal trade-offs between entropy dissipation rate and fluctuations in transport current. This relation has been mostly used to estimate a minimum entropy dissipation rate by…

Statistical Mechanics · Physics 2019-11-25 Jiawei Yan

In this paper, we examine the conditions under which the nonlinear transport theory is inescapable, when a correlated quantum dot is symmetrically coupled to two leads submitted to temperature and voltage biases. By detailed numerical…

Mesoscale and Nanoscale Physics · Physics 2014-12-02 J. Azema , P. Lombardo , A. -M. Daré

We show how to use a central limit approximation for additive co-cycles to describe non-equilibrium and far from equilibrium thermodynamic behavior. We consider first two weakly coupled Hamiltonian dynamical systems initially at different…

Statistical Mechanics · Physics 2012-04-11 Hans Henrik Rugh