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Based on the recent work [1,2], we formulate the first law and the second law of stochastic thermodynamics in the framework of general relativity. These laws are established for a charged Brownian particle moving in a heat reservoir and…

广义相对论与量子宇宙学 · 物理学 2025-01-09 Tao Wang , Yifan Cai , Long Cui , Liu Zhao

A major part of the many thermally driven processes in our natural environment as well as in engineering solutions of Carnot-type machinery is based on the second law of thermodynamics (or principle of entropy increase). An interesting link…

综合物理 · 物理学 2010-09-29 Hans R. Moser

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…

统计力学 · 物理学 2022-10-11 Sylvain D. Brechet , Marin C. A. Girard

The second law of thermodynamics is discussed and reformulated from a quantum information theoretic perspective for open quantum systems using relative entropy. Specifically, the relative entropy of a quantum state with respect to…

量子物理 · 物理学 2020-11-11 Neil Dowling , Stefan Floerchinger , Tobias Haas

Fluctuation Theorems are statements about the entropy of systems far from thermal equilibrium. In this Letter relativistic Fluctuation Theorems for Brownian motion are presented and proven. Though there is a known discretization dilemma…

统计力学 · 物理学 2007-05-23 Axel Fingerle

The essential postulates of classical thermodynamics are formulated, from which the second law is deduced as the principle of increase of entropy in irreversible adiabatic processes that take one equilibrium state to another. The entropy…

软凝聚态物质 · 物理学 2009-10-30 Elliott H. Lieb , Jakob Yngvason

Although its practical efficiency is unquestionable, it is well known that thermodynamics presents conceptual difficulties from the theoretical point of view. It is shown that the problem comes from an imperfect compatibility between the…

综合物理 · 物理学 2007-05-23 Jean-Louis Tane

The first part of this paper is a condensed synthesis of the matter presented in several previous ones. It begins with an argumentation showing that the first and second laws of thermodynamics are incompatible with one another if they are…

综合物理 · 物理学 2010-02-21 Jean-Louis Tane

The classical theory of Brownian motion rests on fundamental laws of statistical mechanics, such as the equipartition theorem and the fluctuation-dissipation theorem, which are not applicable in non-isothermal situations. We derive the…

统计力学 · 物理学 2014-06-10 Gianmaria Falasco , Manuel Victor Gnann , Klaus Kroy

'Relativistic thermodynamics' should be understood not as a generalization of a non-relativistic theory but as an application of a general thermodynamic framework, neutral as to spacetime setting and allowing arbitrary conserved quantities,…

统计力学 · 物理学 2025-08-06 David Wallace

We consider a Brownian particle in harmonic confinement of stiffness $k$, in one dimension in the underdamped regime. The whole setup is immersed in a heat bath at temperature $T$. The center of harmonic trap is dragged under any arbitrary…

统计力学 · 物理学 2020-03-18 Deepak Gupta , Amos Maritan

We argue that the entanglement entropy for a very small subsystem obeys a property which is analogous to the first law of thermodynamics when we excite the system. In relativistic setups, its effective temperature is proportional to the…

高能物理 - 理论 · 物理学 2013-03-14 Jyotirmoy Bhattacharya , Masahiro Nozaki , Tadashi Takayanagi , Tomonori Ugajin

The equipartition theorem is a fundamental law of classical statistical physics, which states that every degree of freedom contributes $k_{B}T/2$ to the energy, where $T$ is the temperature and $k_{B}$ is the Boltzmann constant. Recent…

统计力学 · 物理学 2024-09-17 Xin-Hai Tong

In this paper we carefully reexamine the various framworks existing in the field of relativistic thermodynamics. We scrutinize in particular the different conceptual foundations of notions like the relativistic work, heat force, moving heat…

广义相对论与量子宇宙学 · 物理学 2008-01-21 Manfred Requardt

Physical scenarios that require a relativistic treatment are ubiquitous in nature, ranging from cosmological objects to charge carriers in Dirac materials. Interestingly all of these situations have in common that the systems typically…

统计力学 · 物理学 2020-08-11 P. S. Pal , Sebastian Deffner

A generally relativistic theory of thermodynamics is developed, based on four main physical principles: heat is a local form of energy, therefore described by a thermal energy tensor; conservation of mass, equivalent to conservation of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Sean A. Hayward

The principle of covariance, a cornerstone of modern physics, asserts the equivalence of all inertial frames of reference. Fluctuation theorems, as extensions of the second law of thermodynamics, establish universal connections between…

统计力学 · 物理学 2025-06-18 Ji-Hui Pei , Jin-Fu Chen , H. T. Quan

Translational ordering of the internal kinematic chaos provides the Special Relativity referents for the geodesic motion of warm thermodynamical bodies. Taking identical mathematics, relativistic physics of the low speed transport of…

综合物理 · 物理学 2018-03-29 I. E. Bulyzhenkov

In the last ten years, a number of ``Conventional Fluctuation Theorems'' have been derived for systems with deterministic or stochastic dynamics, in a transient or in a non-equilibrium stationary state. These theorems gave explicit…

统计力学 · 物理学 2007-05-23 R. van Zon , E. G. D. Cohen

Second law of thermodynamics is applied to a few electronic processes. It is seen that the second law of thermodynamics holds good for all except one mentioned here. The classical approach, based on exact equivalence of emission and…

综合物理 · 物理学 2007-05-23 R. C. Gupta , Ruchi Gupta , Sanjay Gupta
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