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The heat equation is considered in the complex system consisting of many small bodies (particles) embedded in a given material. On the surfaces of the small bodies a Newton-type boundary condition is imposed. An equation for the limiting…

Analysis of PDEs · Mathematics 2012-07-04 A. G. Ramm

For the first time, the possibility of generation of thermal gravitational waves from warm inflation is investigated with cosmic microwave background. Gravitons produced from the quantum fluctuations during warm inflation are found to carry…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Anupama B

With the assumption of local Tsallis equilibrium, the newly defined gravitational temperature is calculated in the solar interior, whose distribution curve can be divided into three parts, the solar core region, radiation region and…

General Physics · Physics 2015-08-10 Yahui Zheng , Jiulin Du

The warm inflation scenario is an alternative mechanism which can explain the isotropic and homogeneous Universe which we are living in. In this work I extend a previously introduced formalism, without the restriction of slow - roll regime.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Mauricio Bellini

Gravitational instability induces a simple correlation between the large and small scale fluctuations of the Ly-alpha flux spectrum. However, non-gravitational processes involved in structure formation and evolution will alter such a…

Astrophysics · Physics 2009-11-10 T. Fang , M. White

The kinetic theory of dilute gases to first order in the gradients yields linear relations between forces and fluxes. The heat flux for the relativistic gas has been shown to be related not only to the temperature gradient but also to the…

General Relativity and Quantum Cosmology · Physics 2011-07-21 A. L. Garcia-Perciante , A. R. Mendez

We introduce the notion of thermal entropy density, and first obtain the thermal entropy density of any arbitrary spacetime without firstly assuming a temperature or a horizon. The results indicate that gravity possesses thermal effects or…

General Relativity and Quantum Cosmology · Physics 2013-01-11 Rongjia Yang

Earth-mass planets are expected to have atmospheres and experience thermal tides raised by the host star. These tides transfer energy to the planet that can counter the dissipation from bodily tides. Indeed, even a relatively thin…

Earth and Planetary Astrophysics · Physics 2023-12-13 Ema F. S. Valente , Alexandre C. M. Correia

We calculate the reheating temperature in scenarios where heavy particles are gravitationally produced during a phase transition. We explore two distinct situations: the decay of these particles both during and after the kination phase.…

General Relativity and Quantum Cosmology · Physics 2023-12-22 Jaume de Haro

We discuss the quantum mechanical description of a gravitational wave interacting with a cavity electromagnetic field. Quantum fluctuations of the gravitational vacuum induce squeezing in the optical field. Moreover, this squeezing…

Quantum Physics · Physics 2020-06-19 Thiago Guerreiro

In this paper, we study the heat equation with an irregular spatially dependent thermal conductivity coefficient. We prove that it has a solution in an appropriate very weak sense. Moreover, the uniqueness result and consistency with the…

Analysis of PDEs · Mathematics 2023-02-21 Michael Ruzhansky , Mohammed Elamine Sebih , Niyaz Tokmagambetov

Proposed experiments for obtaining empirical evidence for a quantum description of gravity in a table-top setting focus on detecting quantum information signatures, such as entanglement or non-Gaussianity production, in gravitationally…

Quantum Physics · Physics 2025-12-19 Thomas Strasser , Marios Christodoulou , Richard Howl , Caslav Brukner

We study the problem of heat conduction in general relativity by using Carter's variational formulation. We write the creation rates of the entropy and the particle as combinations of the vorticities of temperature and chemical potential.…

General Relativity and Quantum Cosmology · Physics 2022-11-28 Hyeong-Chan Kim , Youngone Lee

At gravitational interactions of bodies and particles there appears the defect of masses, i.e. the energy yields since the bodies (or particles) are attracted. It is shown that this changing of the effective mass of the body (or the…

Astrophysics · Physics 2007-05-23 Kh. M. Beshtoev

The meridional temperature profile of the upper layers of planetary atmospheres is set through a balance between differential radiative heating by a nearby star, or by intrinsic heat fluxes emanating from the deep interior, and the…

Atmospheric and Oceanic Physics · Physics 2021-09-10 Basile Gallet , Raffaele Ferrari

Spurred by rich, multi-wavelength observations and enabled by new simulations, ranging from cosmological to sub-pc scales, the last decade has seen major theoretical progress in our understanding of the circumgalactic medium. We review key…

Astrophysics of Galaxies · Physics 2023-01-26 Claude-Andre Faucher-Giguere , S. Peng Oh

It is believed that classical behavior emerges in a quantum system due to decoherence. It has also been proposed that gravity can be a source of this decoherence. We examine this in detail by studying a number of quantum systems, including…

General Relativity and Quantum Cosmology · Physics 2017-10-31 Saurya Das , Matthew P. G. Robbins , Elias C. Vagenas

Thermal conduction has been suggested as a possible mechanism by which sufficient extra heating is provided in radiation-dominated accretion flows. We consider the extreme case in which the generated energy due to the viscosity and the…

Astrophysics · Physics 2007-05-23 Mohsen Shadmehri , Fazeleh Khajenabi

It is known that temperature estimates of macroscopic systems in equilibrium are most precise when their energy fluctuations are large. However, for nanoscale systems deviations from standard thermodynamics arise due to their interactions…

Quantum Physics · Physics 2018-06-14 Harry J. D. Miller , Janet Anders

Dark matter heating in planets has been proposed as a potential probe for dark matter detection. Assuming near-equilibrium conditions, we find that the energy input from dark matter raises planetary temperatures and accelerates rotation.…

High Energy Astrophysical Phenomena · Physics 2025-11-25 Haihao Shi , Junda Zhou , Zhenyang Huang , Guoliang Lü , Xuefei Chen
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