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A common feature in the thermodynamic analysis of homogeneous and isotropic world models is the assumption that the temperature of the fluids inside the cosmic horizon (including dark energy) coincides with the temperature of the latter,…

General Relativity and Quantum Cosmology · Physics 2016-11-18 José Pedro Mimoso , Diego Pavón

We establish three partial differential equation models describing the thermodynamics of the fluid, by combining the energetic variational approach, appropriate constitutive relations, and classical thermodynamics laws. What is more, by…

Analysis of PDEs · Mathematics 2020-11-23 Ning-An Lai , Chun Liu , Andrei Tarfulea

We regularize the potential distribution framework to calculate the excess free energy of liquid water simulated with the BLYP-D density functional. The calculated free energy is in fair agreement with experiments but the excess internal…

Chemical Physics · Physics 2015-05-19 Valéry Weber , D. Asthagiri

The present contribution deals with thermodynamic aspects of the model of Expansive Nondecelerative Universe. In this model, in the matter era a dependence T^CBR ~ E^CBR ~ a(exp -3/4) holds for the energy of cosmic background radiation,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Miroslav Sukenik , Jozef Sima

In this work, we explore the effect at cosmological level of the extra contribution arising from the Geodetic Brane Gravity model within a thermodynamical perspective. As already known, the universe seen as an extended object embedded…

High Energy Physics - Theory · Physics 2026-01-27 Gilberto Aguilar-Pérez , Giovany Cruz , Miguel Cruz , Efraín Rojas

In this paper we calculate the entropy of a thin spherical shell that contracts reversibly from infinity down to its event horizon. We find that, for a broad class of equations of state, the entropy of a non-extremal shell is one-quarter of…

General Relativity and Quantum Cosmology · Physics 2009-10-30 F. Pretorius , D. Vollick , W. Israel

We analyze underdamped Brownian motion in non-isothermal media with quadratic, linear, and piecewise-constant temperature profiles. Exact identities for entropy production and entropy extraction are derived, addressing whether a vanishing…

Statistical Mechanics · Physics 2025-09-10 Mesfin Taye

In this study, we advance the understanding of non-equilibrium systems by deriving thermodynamic relations for a heat engine operating under an exponentially decreasing temperature profile. Such thermal configurations closely mimic…

Statistical Mechanics · Physics 2025-04-01 Mesfin Taye

The thesis begins with an introduction to M-theory (at a graduate student's level), starting from perturbative string theory and proceeding to dualities, D-branes and finally Matrix theory. The following chapter treats, in a self-contained…

High Energy Physics - Theory · Physics 2007-05-23 Riccardo Argurio

We compute the entropy of non-extremal black holes using the quantum dynamics of Loop Gravity. The horizon entropy is finite, scales linearly with the area A, and reproduces the Bekenstein-Hawking expression S = A/4 with the one-fourth…

General Relativity and Quantum Cosmology · Physics 2012-04-24 Eugenio Bianchi

We address a long-standing problem of describing the thermodynamics of a charged accelerating black hole. We derive a standard first law of black hole thermodynamics, with the usual identification of entropy proportional to the area of the…

High Energy Physics - Theory · Physics 2017-02-03 Michael Appels , Ruth Gregory , David Kubiznak

We explore the thermodynamics and geothermodynamics of black holes with Barrow entropy in a brane-world scenario, where the horizon geometry of the black hole is regarded as a fractal structure. Our analysis reveals the behavior of heat…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Usman Zafar , Abdul Jawad , Kazuharu Bamba , Mohammad Ali S. Afshar , Mohammad Reza Alipour , Saeed Noori Gashti , Jafar Sadeghi

Species thermodynamics has been proposed in analogy to black hole thermodynamics. The entropy scales like an area and is given by the mere counting of the number of the species. In this work, we $\textit{derive}$ the constitutive relations…

High Energy Physics - Theory · Physics 2025-04-16 Alvaro Herráez , Dieter Lüst , Joaquin Masias , Marco Scalisi

In this paper we analyze a PDE system modelling (non-isothermal) phase transitions and damage phenomena in thermoviscoelastic materials. The model is thermodynamically consistent: in particular, no {\em small perturbation assumption} is…

Analysis of PDEs · Mathematics 2014-11-20 Elisabetta Rocca , Riccarda Rossi

We show that the entropy of any black object in any dimension can be understood as the entropy of a highly excited string on the stretched horizon. The string has a gravitationally renormalized tension due to the large redshift near the…

High Energy Physics - Theory · Physics 2010-02-03 Edi Halyo

We consider the classical and local thermodynamic stability of non- and near-extremal Dp-branes smeared on a transverse direction. These two types of stability are connected through the correlated stability conjecture for which we give a…

High Energy Physics - Theory · Physics 2009-11-11 T. Harmark , V. Niarchos , N. A. Obers

The recent suggestion that the entropy of Schwarzschild black holes can be computed in matrix theory using near-extremal D-brane thermodynamics is examined. It is found that the regime in which this approach is valid actually describes…

High Energy Physics - Theory · Physics 2016-08-25 Gary T. Horowitz , Emil J. Martinec

We start with BPS-saturated configurations of two (orthogonally) intersecting M-branes and use the electro-magnetic duality or dimensional reduction along a boost, in order to obtain new p-brane bound states. In the first case the resulting…

High Energy Physics - Theory · Physics 2009-09-17 Miguel S. Costa , Mirjam Cvetic

The fundamental equation of the thermodynamic system gives the relation between internal energy, entropy and volume of two adjacent equilibrium states. Taking higher dimensional charged Gauss-Bonnet black hole in de Sitter space as a…

General Relativity and Quantum Cosmology · Physics 2020-12-09 Xiong-Ying Guo , Huai-Fan Li , Li-Chun Zhang

A generalization of entropy to near-equilibrium phenomena is provided by the notion of a hydrodynamic entropy current. Recent advances in holography have lead to the formulation of fluid-gravity duality, a remarkable connection between the…

High Energy Physics - Theory · Physics 2011-03-29 Ivan Booth , Michal P. Heller , Michal Spalinski