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The Zeroth Law of Thermodynamics states that if two systems are in thermal equilibrium with a third one, then they are also in equilibrium with each other. This study explores not only the final state of thermal equilibrium between ideal…

Statistical Mechanics · Physics 2026-02-13 Jonathas N. da Silva , Octavio D. Rodriguez Salmon , Minos A. Neto

We consider the Non-Equilibrium Steady State induced by two infinite quantum thermal reservoirs at different temperatures and derive an inequality giving the upper bound of the work extracted by cyclic operations. This upper bound tends to…

Statistical Mechanics · Physics 2024-06-19 Kazuki Yamaga

The present work deals with a detailed study of universal thermodynamics in different modified gravity theories. The validity of the generalized second law of thermodynamics (GSLT) and thermodynamical equilibrium (TE) of the Universe…

General Relativity and Quantum Cosmology · Physics 2016-11-02 Saugata Mitra , Subhajit Saha , Subenoy Chakraborty

The first law of thermodynamics imposes not just a constraint on the energy-content of systems in extreme quantum regimes, but also symmetry-constraints related to the thermodynamic processing of quantum coherence. We show that this…

Quantum Physics · Physics 2015-04-15 Matteo Lostaglio , Kamil Korzekwa , David Jennings , Terry Rudolph

We investigate the quantum field aspects in flat spacetime for an uniformly accelerated observer moving in a thermal bath. In particular, we obtain an exact closed expression of the reduced density matrix for an uniformly accelerated…

General Relativity and Quantum Cosmology · Physics 2014-02-26 Sanved Kolekar

We systematically explore and show the existence of finite-temperature continuous quantum phase transition (CTQPT) at a critical point, namely, during solidification or melting such that the first-order thermal phase transition is a special…

Strongly Correlated Electrons · Physics 2014-05-20 Andrew Das Arulsamy

The present work deals with irreversible Universal thermodynamics. The homogenous and isotropic flat model of the universe is chosen as open thermodynamical system and non-equilibrium thermodynamics comes into picture due to the mechanism…

General Relativity and Quantum Cosmology · Physics 2016-05-17 Subhajit Saha , Atreyee Biswas , Subenoy Chakraborty

We describe recent progress towards deriving the Fundamental Laws of thermodynamics (the 0th, 1st and 2nd Law) from nonequilibrium quantum statistical mechanics in simple, yet physically relevant models. Along the way, we clarify some basic…

Mathematical Physics · Physics 2007-05-23 Walid K. Abou Salem , Juerg Froehlich

We show that while some non-uniformly accelerating observers (NUAOs) do indeed see a Bose-Einstein distribution of particles for the expectation value of the number operator in the Minkowski vacuum state, the density matrix is non-thermal…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Alaric Doria , Gerardo Munoz

Quantum thermodynamics has emerged as a central field for understanding how energy conversion processes occur in microscopic systems. In these systems, effects such as coherence, entanglement, and non-Markovianity play key roles. In this…

Quantum Physics · Physics 2025-12-02 J. M. Z. Choquehuanca

In the realm of statistical mechanics, it has been established that there is no distinction between the micro-canonical and canonical ensembles in the thermodynamic limit. However, this paradigm may alter when addressing statistical…

Statistical Mechanics · Physics 2023-11-21 Jinwu Ye

Non-equilibrium quantum thermodynamics is an intensively developing field with many existing applications. We study the dynamics of temperatures and chemical potentials of fermionic reservoirs coupled to an open quantum system. We show that…

Quantum Physics · Physics 2024-12-23 I. V. Vovchenko , A. A. Zyablovsky , A. A. Pukhov , E. S. Andrianov

Starting from a microcanonical statistical approach and special relativity, the relativistic transformations for temperature and pressure for an ideal gas of bradyons, luxons or tachyons is found. These transformations are in agreement with…

General Physics · Physics 2009-03-05 Felipe Asenjo , Cristian A. Farías , Pablo S. Moya

Second law of thermodynamics imposes that in any thermodynamic process the entropy production must be nonnegative. In continuum physics such a requirement is fulfilled by postulating the constitutive equations which represent the material…

Mathematical Physics · Physics 2022-02-03 V. A. Cimmelli , P. Rogolino

Solving the time-dependent quantum many-body Schr\"odinger equation is a challenging task, especially for states at a finite temperature, where the environment affects the dynamics. Most existing approximating methods are designed to…

Quantum Physics · Physics 2024-05-24 Jannes Nys , Zakari Denis , Giuseppe Carleo

We discuss a simple toy model which allows, in a natural way, for deriving central facts from thermodynamics such as its fundamental laws, including Carnot's version of the second principle. Our viewpoint represents thermodynamic systems as…

Quantum Physics · Physics 2022-05-17 Ämin Baumeler , Carla Rieger , Stefan Wolf

The problem of temperature in nonextensive statistical mechanics is studied. Considering the first law of thermodynamics and a "quasi-reversible process", it is shown that the Tsallis entropy becomes the Clausius entropy if the inverse of…

Statistical Mechanics · Physics 2009-11-11 Sumiyoshi Abe

The circumstances under which a system reaches thermal equilibrium, and how to derive this from basic dynamical laws, has been a major question from the very beginning of thermodynamics and statistical mechanics. Despite considerable…

Quantum Physics · Physics 2017-08-01 Noah Linden , Sandu Popescu , Anthony J. Short , Andreas Winter

The first in a long series of papers by John T. Lewis, G. W. Ford and the present author, considered the problem of the most general coupling of a quantum particle to a linear passive heat bath, in the course of which they derived an exact…

Quantum Physics · Physics 2016-09-08 R. F. O'Connell

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
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