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A power-law corrected entropy based on a quantum entanglement is considered to be a viable black-hole entropy. In this study, as an alternative to Bekenstein-Hawking entropy, a power-law corrected entropy is applied to Padmanabhan's…

General Relativity and Quantum Cosmology · Physics 2017-11-13 Nobuyoshi Komatsu

The thermodynamics of the Universe is restudied by requiring its compatibility with the holographic-style gravitational equations which govern the dynamics of both the cosmological apparent horizon and the entire Universe, and possible…

General Relativity and Quantum Cosmology · Physics 2015-07-29 David Wenjie Tian , Ivan Booth

It exists a large class of systems for which the traditional notion of extensivity breaks down. From experimental examples we induce two general hypothesis concerning such systems. In the first the existence of an internal coordinate system…

Statistical Mechanics · Physics 2015-03-09 J-P. Badiali , A. El Kaabouchi

In the Cadassian universe, one can explain the acceleration of the universe without introducing dark energy component. However, the dynamical equations of this model can not be directly obtained from the action principle. Recently, works on…

High Energy Physics - Theory · Physics 2011-07-08 Chao-Jun Feng , Xin-Zhou Li , Xian-Yong Shen

We describe a one-dimensional self-gravitating system derived from the problem of large-scale structure formation in cosmology. Considering small times so that the expansion can be neglected we present a thermodynamical analysis of this…

Astrophysics · Physics 2009-11-11 Patrick Valageas

Deriving the Einstein field equations (EFE) with matter fluid from the action principle is not straightforward, because mass conservation must be added as an additional constraint to make rest-frame mass density variable in reaction to…

General Relativity and Quantum Cosmology · Physics 2016-06-13 Tomonori Totani

We present a conjugate analysis of two different dark energy models investigating both their agreement with recent data and their thermodynamical properties. The successful match with the data allows to both constrain the model parameters…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-11 Vincenzo F. Cardone , Ninfa Radicella , Antonio Troisi

We show how the macroscopic state variables pressure, entropy and temperature of equilibrium thermodynamics can be consistently derived from the (quantum) chaotic spectral structure of one or two particles in two-dimensional domains. This…

We investigate the thermodynamic and phenomenological implications of a cosmological model governed by fractional entropy applied to the apparent horizon of a flat Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) universe. By utilizing the…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Miguel Cruz , Diego da Silva , Simón González , Samuel Lepe , Joel Saavedra , Manuel Gonzalez-Espinoza

To the student of thermodynamics the most difficult subject is entropy. In this paper we examine the actual, practical application of entropy to two simple systems, the homogeneous slab with fixed boundary values of the temperature, and an…

Statistical Mechanics · Physics 2015-05-28 Christian Frønsdal , Abhishek Pathak

Recently, zero-point length cosmology has shown some positive insights into some non-singular aspects of the early Universe. In addition, topological defects are known to play a significant role by its presence as a part of the total energy…

General Relativity and Quantum Cosmology · Physics 2025-05-21 Kalyan Bhuyan , Mrinnoy M. Gohain

Picking up the threads on a recent proposal [arXiv:1903.08668], we show how to formulate consistent thermodynamics of Lorentzian Taub-NUT spacetimes in the presence of electric and magnetic charges. Namely, with an entropy identified with a…

High Energy Physics - Theory · Physics 2019-04-02 Alvaro Ballon , Finnian Gray , David Kubiznak

The second law of thermodynamics implies a relationship between the net entropy export by the Earth and its internal irreversible entropy production. The application of this constraint for the purpose of understanding Earth's climate is…

Atmospheric and Oceanic Physics · Physics 2022-01-19 Martin S. Singh , Morgan E O'Neill

This paper is a non-technical, informal presentation of our theory of the second law of thermodynamics as a law that is independent of statistical mechanics and that is derivable solely from certain simple assumptions about adiabatic…

Mathematical Physics · Physics 2009-10-31 Elliott H. Lieb , Jakob Yngvason

This paper studies whether the generalized second law of thermodynamics is fulfilled in the transition from a generic initial Einstein static phase to the inflationary phase, with constant Hubble rate, and from the end of the latter to the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Sergio del Campo , Ramon Herrera , Diego Pavon

This paper is concerned with a thermomechanical model describing phase separation phenomena in terms of the entropy balance and equilibrium equations for the microforces. The related system is highly nonlinear and admits singular potentials…

Analysis of PDEs · Mathematics 2019-01-30 Pierluigi Colli , Shunsuke Kurima

To explore the mechanism for the entropic force proposal in Entropic Gravity, we propose a specific thermodynamic process for states thermalized in local Hawking Temperature. We find when Casini's version of the Bekenstein bound is…

High Energy Physics - Theory · Physics 2020-05-05 Yang An

The elsewhere surmised topological origin of phase transitions is given here new important evidence through the analytic study of an exactly solvable model for which both topology and thermodynamics are worked out. The model is a mean-field…

Statistical Mechanics · Physics 2009-11-10 Luca Angelani , Lapo Casetti , Marco Pettini , Giancarlo Ruocco , Francesco Zamponi

Recent developments in observational cosmology have led to attempts to make modifications on both sides of the Einstein equation to explain some of the puzzling new findings. What follows is an examination of the source of gravity that we…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-23 Edward A Spiegel

The second law of thermodynamics states that for a thermally isolated system entropy never decreases. Most physical processes we observe in nature involve variations of macroscopic quantities over spatial and temporal scales much larger…

High Energy Physics - Theory · Physics 2017-02-20 Paolo Glorioso , Hong Liu
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