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We report model calculations of the time-dependent internal energy and entropy for a single quasi-free massive quantum particle at a constant temperature. We show that the whole process started from a fully coherent quantum state to…

Statistical Mechanics · Physics 2013-03-20 Jian-Ping Peng

We consider the dynamics of a quantum system immersed in a dilute gas at thermodynamics equilibrium using a quantum Markovian master equation derived by applying the low-density limit technique. It is shown that the Gibbs state at the bath…

Quantum Physics · Physics 2023-08-01 Robert Alicki , Milan Šindelka , David Gelbwaser-Klimovsky

The development of a self-consistent thermodynamic theory of quantum systems is of fundamental importance for modern physics. Still, despite its essential role in quantum science and technology, there is no unifying formalism for…

Quantum Physics · Physics 2022-11-30 André Malavazi , Frederico Brito

Thermodynamics is based on a coarse-grained approach, from which its fundamental variables emerge, effectively erasing the complicate details of the microscopic dynamics within a macroscopic system. The strength of Thermodynamics lies in…

Quantum Physics · Physics 2025-04-17 Gabriel Fernandez Ferrari , Łukasz Rudnicki , Lucas Chibebe Céleri

Thermodynamical equilibrium is considered as an effect of quantum entangling of the vacuum state of a system. An explicit mathematical model of multi- particle entangled pure quantum states is developed and analyzed. In the framework, the…

Quantum Physics · Physics 2007-05-23 A. Yu. Bogdanov , Yu. I. Bogdanov , K. A. Valiev

Quantum-Induced Stochastic Dynamics arises from the coupling between a classical system and a quantum environment. Unlike standard thermal reservoirs, this environment acts as a dynamic bath, capable of simultaneously exchanging heat and…

Statistical Mechanics · Physics 2026-02-12 Pedro V. Paraguassú

We show, in two different ways, that the Tsallis' partition function and its derivatives are related to thermodynamic quantities such as entropy, internal energy, etc., in the same way as in Boltzmann-Gibbs' formalism, with the Lagrange…

Statistical Mechanics · Physics 2007-05-23 F. Q. Potiguar , U. M. S. Costa

Given the evolution of an arbitrary open quantum system, we formulate a general and unambiguous method to separate the internal energy change of the system into an entropy-related contribution and a part causing no entropy change,…

Quantum Physics · Physics 2022-10-26 S. Alipour , A. T. Rezakhani , A. Chenu , A. del Campo , T. Ala-Nissila

One of the fundamental problems of quantum statistical physics is how an ideally isolated quantum system can ever reach thermal equilibrium behavior despite the unitary time evolution of quantum-mechanical systems. Here, we study, via…

Quantum Physics · Physics 2025-06-24 Marvin Lenk , Sayak Biswas , Anna Posazhennikova , Johann Kroha

Non-equilibrium processes in Schottky systems generate by projection onto the equilibrium subspace reversible accompanying processes for which the non-equilibrium variables are functions of the equilibrium ones. The embedding theorem which…

Statistical Mechanics · Physics 2021-07-21 Wolfgang Muschik

Thermodynamics imposes restrictions on what state transformations are possible. In the macroscopic limit of asymptotically many independent copies of a state---as for instance in the case of an ideal gas---the possible transformations…

Quantum Physics · Physics 2019-11-14 Philippe Faist , Mario Berta , Fernando Brandão

We develop the strong coupling quantum thermodynamics based on the solution of the exact master equation. We find that both the Hamiltonian and the temperature must be renormalized due to the system-reservoir couplings. With the…

Quantum Physics · Physics 2020-10-06 Wei-Ming Huang , Wei-Min Zhang

We investigate the connection between recent results in quantum thermodynamics and fluctuation relations by adopting a fully quantum mechanical description of thermodynamics. By including a work system whose energy is allowed to fluctuate,…

Quantum Physics · Physics 2017-03-27 Álvaro M. Alhambra , Lluis Masanes , Jonathan Oppenheim , Christopher Perry

We show through a nonlinear Fokker-Planck formalism, and confirm by molecular dynamics simulations, that the overdamped motion of interacting particles at T=0, where T is the temperature of a thermal bath connected to the system, can be…

Statistical Mechanics · Physics 2011-02-08 J. S. Andrade , G. F. T. da Silva , A. A. Moreira , F. D. Nobre , E. M. F. Curado

The result that closed systems evolve toward equilibrium is derived entirely on the basis of quantum field theory for a model system, without invoking any of the common extra-mathematical notions of particle trajectories, collapse of the…

Statistical Mechanics · Physics 2015-06-03 D. Snoke , G. Liu , S. Girvin

We develop a Lindblad framework for quantum stochastic thermodynamics to study the nonequilibrium thermodynamics of open quantum systems. Our approach adopts the local quantum detailed balance condition, ensuring thermodynamic consistency…

Quantum Physics · Physics 2025-02-28 Jin-Fu Chen

Stochastic and dynamical processes lie at the heart of all physical, chemical, and biological systems. However, kinetic and thermodynamic properties which characterize these processes have largely been treated separately as they can be…

Statistical Mechanics · Physics 2024-06-12 Andrew Boshi Li , Talid Sinno

Thermodynamics is based on the notions of energy and entropy. While energy is the elementary quantity governing physical dynamics, entropy is the fundamental concept in information theory. In this work, starting from first principles, we…

Statistical Mechanics · Physics 2017-10-25 Bernhard Altaner

It is shown that the structure of thermodynamics is "form invariant", when it is derived using maximum entropy principle for various choices of entropy and even beyond equilibrium. By the form invariance of thermodynamics, it is meant that…

Quantum Physics · Physics 2015-11-12 Avijit Misra , Uttam Singh , Manabendra Nath Bera , A. K. Rajagopal

We examine the differences between the driven turbulence described by the Kuramoto-Sivashinsky (KS) equation and the second law of thermodynamics. A general velocity and entropy density system is analyzed with the unified thermodynamic…

Chaotic Dynamics · Physics 2026-01-12 E. Hansen , W. Barham , P. J. Morrison
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