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The post-Newtonian hydrodynamic equations for a non-perfect fluid are developed within the framework of a post-Newtonian Boltzmann equation. The post-Newtonian components of the energy-momentum tensor are determined by considering the…

广义相对论与量子宇宙学 · 物理学 2022-10-06 Gilberto M. Kremer

We critically compare thermodynamic and kinetic approaches, that have been recently used to study relations between the spin polarization and fluid vorticity in systems consisting of spin-one-half particles. The thermodynamic approach…

高能物理 - 唯象学 · 物理学 2018-10-31 Wojciech Florkowski , Avdhesh Kumar , Radoslaw Ryblewski

Taking the formal analogies between black holes and classical thermodynamics seriously seems to first require that classical thermodynamics applies to relativistic regimes. Yet, by scrutinizing how classical temperature is extended into…

物理学史与哲学 · 物理学 2023-03-28 Eugene Y. S. Chua

Thermal atmospheric tides have a strong impact on the rotation of terrestrial planets. They can lock these planets into an asynchronous rotation state of equilibrium. We aim at characterizing the dependence of the tidal torque resulting…

地球与行星天体物理 · 物理学 2019-04-10 Pierre Auclair-Desrotour , Jérémy Leconte , Cyril Mergny

Spherically symmetric hydrodynamical outflows accelerated thermally in the vicinity of a compact object are studied by generalizing an equation of state with a variable effective polytropic index, appropriate to describe relativistic…

天体物理学 · 物理学 2009-11-10 Z. Meliani , C. Sauty , K. Tsinganos , N. Vlahakis

We have studied the famous classical pseudotensors in the small region limit, both inside matter and in vacuum. A recent work [Deser et al.1999 CQG 16, 2815] had found one combination of the Einstein and Landau-Lifshitz expressions which…

广义相对论与量子宇宙学 · 物理学 2012-07-31 Lau Loi So , James M. Nester , Hsin Chen

Thermal tides can torque the atmosphere of hot Jupiters into asynchronous rotation, while these planets are usually assumed to be locked into spin-orbit synchronization with their host star. In this work, our goal is to characterize the…

地球与行星天体物理 · 物理学 2018-06-06 Pierre Auclair-Desrotour , Jérémy Leconte

Using the parametrized post-Newtonian equations of hydrodynamics, we derive the tensor form of the parametrized post-Newtonian virial theorem.

广义相对论与量子宇宙学 · 物理学 2012-10-16 Mahmood Roshan

Time-dependent insolation in a planetary atmosphere induces a mass quadrupole upon which the stellar tidal acceleration can exert a force. This "thermal tide" force can give rise to secular torques on the planet and orbit as well as radial…

地球与行星天体物理 · 物理学 2009-01-21 Phil Arras , Aristotle Socrates

The heat semigroup on discrete hypercubes is well-known to be contractive over $L_p$-spaces for $1<p<\infty$. A question of Mendel and Naor \cite{MN14} concerns a stronger contraction property in the tail spaces, which is known as the…

算子代数 · 数学 2022-10-31 Haonan Zhang

The recently proposed Skordis-Z\l{}o\'{s}nik theory is the first relativistic MOND theory that can recover the success of the standard $\Lambda$CDM model at matching observations of the cosmic microwave background. This paper aims to…

广义相对论与量子宇宙学 · 物理学 2023-03-16 Shuxun Tian , Shaoqi Hou , Shuo Cao , Zong-Hong Zhu

The relativistic dynamic equations are derived for a superfluid-superconducting mixture coupled to the electromagnetic field. For definiteness, and bearing in mind possible applications of our results to neutron stars, it is assumed that…

广义相对论与量子宇宙学 · 物理学 2017-01-25 Mikhail E. Gusakov , Vasiliy A. Dommes

We establish sharp higher-order heat estimates with complete bound on the noncommutative tori \(\mathbb{T}_{\theta}^{n}\) and show the optimality in the small-time order. As an application in polynomial semilinear heat equations on…

偏微分方程分析 · 数学 2026-05-26 Fulin Yang , Zhipeng Yang

We reexamine the popular belief that a telluric planet or satellite on an eccentric orbit can, outside a spin-orbit resonance, be captured in a quasi-static tidal equilibrium called pseudosynchronous rotation. The existence of such…

地球与行星天体物理 · 物理学 2015-06-11 Valeri V. Makarov , Michael Efroimsky

By analogy with a mechanism proposed by Gold and Soter to explain the retrograde rotation of Venus, Arras and Socrates suggest that thermal tides may excite hot jovian exoplanets into nonsynchronous rotation, and perhaps also noncircular…

地球与行星天体物理 · 物理学 2009-01-22 Jeremy Goodman

The conventional Tolman temperature based on the assumption of the traceless condition of energy-momentum tensor for matter fields is infinite at the horizon if Hawking radiation is involved. However, we note that the temperature associated…

广义相对论与量子宇宙学 · 物理学 2015-12-01 Yongwan Gim , Wontae Kim

Unimodular gravity is a modified theory with respect to general relativity by an extra condition that the determinant of the metric is fixed. Especially, if the energy-momentum tensor is not imposed to be conserved separately, a new…

广义相对论与量子宇宙学 · 物理学 2022-11-02 Rui-Xin Yang , Fei Xie , Dao-Jun Liu

We study the large-time behavior of strong solutions to the equations of a planar magnetohydrodynamic compressible flow with the heat conductivity proportional to a nonnegative power of the temperature. Both the specific volume and the…

偏微分方程分析 · 数学 2019-10-15 Bin Huang , Xiaoding Shi , Ying Sun

Landau's criterion for superfluidity is a special case of a broader principle: A moving fluid cannot be stopped by frictional forces if its state of motion is a local minimum of the grand potential. We employ this general thermodynamic…

广义相对论与量子宇宙学 · 物理学 2025-11-25 Lorenzo Gavassino

A type I superconductor expels a magnetic field from its interior to a surface layer of thickness $\lambda_L$, the London penetration depth. $\lambda_L$ is a function of temperature, becoming smaller as the temperature decreases. Here we…

超导电性 · 物理学 2021-07-13 J. E. Hirsch