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We investigate thermodynamics of the apparent horizon in $f(R)$ gravity in the Palatini formalism with non-equilibrium and equilibrium descriptions. We demonstrate that it is more transparent to understand the horizon entropy in the…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Kazuharu Bamba , Chao-Qiang Geng

This paper is a natural continuation of a previous one by the author, which was concerned with the foundations of statistical thermodynamics far from equilibrium. One of the problems left open in that paper was the correct definition of…

Statistical Mechanics · Physics 2015-06-24 A. Carati

Arguments are presented that the assumption, implicit to traditional statistical thermodynamics, that at zero temperature all erratic motions cease, should be dispensed with. Assuming instead a random ultrarelativistic unobservable motion,…

Quantum Physics · Physics 2007-05-23 Vesselin I. Dimitrov

With the usual definitions for the entropy and the temperature associated with the apparent horizon, we discuss the first law of the thermodynamics on the apparent in the general scalar-tensor theory of gravity with the kinetic term of the…

General Relativity and Quantum Cosmology · Physics 2016-03-04 Yumei Huang , Yungui Gong

Present investigation devoted to the dynamical study of Relativistic Hydrodynamics with some thermodynamical characteristics in $f(R,G)$ gravity towards spatially homogeneous isotropic cosmological model filled with isotropic fluid. We…

General Physics · Physics 2020-04-09 S. H. Shekh , Simran Arora , V. R. Chirde , P. K. Sahoo

The atmospheric greenhouse effect, an idea that many authors trace back to the traditional works of Fourier (1824), Tyndall (1861), and Arrhenius (1896), and which is still supported in global climatology, essentially describes a fictitious…

Atmospheric and Oceanic Physics · Physics 2009-03-05 Gerhard Gerlich , Ralf D. Tscheuschner

The thermodynamics of Universe in the Eddington-Born-Infeld (EBI) theory was restudied by utilizing the holographic-style gravitational equations that dominate the dynamics of the cosmical apparent horizon $\Upsilon_{A}$ and the evolution…

General Relativity and Quantum Cosmology · Physics 2019-01-08 Jia-Cheng Ding , Qi-Qi Fan , Cong Li , Ping Li , Jian-Bo Deng

The relativistic continuity equations for the extensive thermodynamic quantities are derived based on the divergence theorem in Minkowski space outlined by St\"uckelberg. This covariant approach leads to a relativistic formulation of the…

Statistical Mechanics · Physics 2022-10-11 Sylvain D. Brechet , Marin C. A. Girard

In this paper, the foundations of classical phenomenological thermodynamics are being thoroughly revisited. A new rigorous basis for thermodynamics is laid out in the main text and presented in full detail in the appendix. All relevant…

Mathematical Physics · Physics 2020-02-24 Philipp Kammerlander , Renato Renner

Active matter describes systems whose constituents convert energy from their surroundings into directed motion, such as bacteria or catalytic colloids. We establish a thermodynamic law for dilute suspensions of interacting active particles…

Statistical Mechanics · Physics 2025-07-22 Lennart Dabelow , Ralf Eichhorn

Active matter concerns many-body systems comprised of living or self-driven agents that collectively exhibit macroscopic phenomena distinct from conventional passive matter. Using Schwinger-Keldysh effective field theory, we develop a novel…

Soft Condensed Matter · Physics 2025-11-07 Jay Armas , Akash Jain , Ruben Lier

Microcanonical equations for several thermodynamic properties of a system, suitable for molecular dynamics simulations, are derived from the nonextensive Tsallis entropy functional. Two possible definitions of temperature, the usual one and…

Statistical Mechanics · Physics 2011-03-21 J. Carrete , L. M. Varela , L. J. Gallego

Thawing and freezing quintessence models are compared thermodynamically. Both of them are found to disobey the Generalized Second Law of Thermodynamics. However, for freezing models, there is still a scope as this breakdown occurs in the…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Tanima Duary , Ananda Dasgupta Narayan Banerjee

This chapter provides an overview of the basic concepts foundational to atmospheric physics and chemistry. We discuss the retention of atmospheres against thermal evaporation and the global energy balance of planets. We present simple…

Earth and Planetary Astrophysics · Physics 2024-10-25 Emily Rauscher

From a new rigorous formulation of the general axiomatic foundations of thermodynamics we derive an operational definition of entropy that responds to the emergent need in many technological frameworks to understand and deploy thermodynamic…

Mathematical Physics · Physics 2014-11-21 Gian Paolo Beretta , Enzo Zanchini

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

Entropic-force cosmology provides, in contrast with dark energy descriptions, a concrete physical understanding of the accelerated expansion of the universe. The acceleration appears to be a consequence of the entropy associated with the…

General Relativity and Quantum Cosmology · Physics 2022-08-15 D. J. Zamora , C. Tsallis

We provide a characterization of energy in the form of exchanged heat and work between two interacting constituents of a closed, bipartite, correlated quantum system. By defining a binding energy we derive a consistent quantum formulation…

Quantum Physics · Physics 2016-10-25 S. Alipour , F. Benatti , F. Bakhshinezhad , M. Afsary , S. Marcantoni , A. T. Rezakhani

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 review the general aspects of the concept of temperature in equilibrium and non-equilibrium statistical mechanics. Although temperature is an old and well-established notion, it still presents controversial facets. After a short…

Statistical Mechanics · Physics 2017-11-13 A. Puglisi , A. Sarracino , A. Vulpiani
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