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An analysis of efficiency and its bounds at maximum work output for Carnot-like heat engines is conducted. The heat transfer processes are described by the linear law with time-dependent heat conductance. The upper bound of efficiency is…

经典物理 · 物理学 2014-06-04 Rui Long , Wei Liu

Classically, the power generated by an ideal thermal machine cannot be larger than the Carnot limit. This profound result is rooted in the second law of thermodynamics. A hot question is whether this bound is still valid for microengines…

介观与纳米尺度物理 · 物理学 2022-05-09 Sungguen Ryu , Rosa López , Llorenç Serra , David Sanchez

Thermodynamics places a limit on the efficiency of heat engines, but not on their output power or on how the power and efficiency change with the engine's cycle time. In this manuscript, we develop a geometrical description of the power and…

统计力学 · 物理学 2016-08-06 Oren Raz , Yigit Subaşı , Rami Pugatch

A general expression for the temperature of a finite-dimensional quantum system is deduced from thermodynamic arguments. At equilibrium, this magnitude coincides with the standard thermodynamic temperature. Furthermore, it is well-defined…

量子物理 · 物理学 2020-05-04 Andrés Vallejo , Alejandro Romanelli , Raúl Donángelo

This article is the first in a series dealing with the thermodynamic properties of quantum Coulomb systems. In this first part, we consider a general real-valued function $E$ defined on all bounded open sets of $\R^3$. Our aim is to give…

数学物理 · 物理学 2008-12-21 Christian Hainzl , Mathieu Lewin , Jan Philip Solovej

This work is concerned with our recently developed formalism of non-equilibrium thermodynamics. This formalism extends the classical irreversible thermodynamics which leads to classical thermodynamics and can not describe physical phenomena…

偏微分方程分析 · 数学 2018-09-06 Zaibao Yang , Wen-An Yong , Yi Zhu

Recent advances in quantum thermodynamics have been focusing on ever more elementary systems of interest, approaching the limit of a single qubit, with correlations, strong coupling and non-equilibrium environments coming into play. Under…

量子物理 · 物理学 2023-10-17 Luis Rodrigo Torres Neves , Frederico Brito

Differences between the thermodynamic behavior of the three-level amplifier (a quantum heat engine based on a thermally pumped laser) and the classical Carnot cycle are usually attributed to the essentially quantum or discrete nature of the…

统计力学 · 物理学 2009-11-10 T. E. Humphrey , H. Linke

The introduction of the quantum analogue of a Carnot engine based on a bath comprising of particles with a small amount of coherence initiated an active line of research on the harnessing of different quantum resources for the enhancement…

量子物理 · 物理学 2022-12-23 Kenza Hammam , Heather Leitch , Yassine Hassouni , Gabriele De Chiara

While temperature is well understood as an intensive quantity in standard thermodynamics, it is less clear whether the same holds in the presence of strong correlations, especially in the case of quantum systems, which may even display…

We introduce a new quantum heat engine, in which the working medium is a quantum system with a discrete level and a continuum. Net work done by this engine is calculated and discussed. The results show that this quantum heat engine behaves…

量子物理 · 物理学 2009-11-13 S. Li , H. Wang , Y. D. Sun , X. X. Yi

Thermodynamics is the phenomenological theory of heat and work. Here we analyze to what extent quantum thermodynamic relations are immune to the underlying mathematical formulation of quantum mechanics. As a main result, we show that the…

量子物理 · 物理学 2016-04-21 Bartłomiej Gardas , Sebastian Deffner , Avadh Saxena

We define the heat capacity for steady periodically driven systems and as an example we compute it for dissipative two-level systems where the energy gap is time-modulated. There, as a function of ambient temperature, the Schottky peak…

统计力学 · 物理学 2024-08-27 Elena Rufeil Fiori , Christian Maes

This paper is about quantum heat defined as the change in energy of a bath during a process. The presentation takes into account recent developments in classical strong-coupling thermodynamics, and addresses a version of quantum heat which…

统计力学 · 物理学 2018-06-13 Erik Aurell

Microcanonical statistics can be well applied to non-extensive systems like nuclei, atomic clusters and systems at phase transitions of first order with inhomogeneous configurations like phase separation. No thermodynamic limit has to be…

凝聚态物理 · 物理学 2007-05-23 D. H. E. Gross

Dealing with a generic time-local non-Markovian master equation, we define current and power to be process-dependent as in classical thermodynamics. Each process is characterized by a symmetry transformation, a gauge of the master equation,…

量子物理 · 物理学 2023-08-01 Fernando Nicacio , Raphael N. P. Maia

From the thermodynamic equilibrium properties of a two-level system with variable energy-level gap $\Delta$, and a careful distinction between the Gibbs relation $dE = T dS + (E/\Delta) d\Delta$ and the energy balance equation $dE = \delta…

量子物理 · 物理学 2014-01-22 Gian Paolo Beretta

We study systems containing electrons and nuclei. Based on the fact that the thermodynamic limit exists for systems with Dirichlet boundary conditions, we prove that the same limit is obtained if one imposes other boundary conditions such…

数学物理 · 物理学 2007-05-23 David Hasler , Jan Philip Solovej

We analyze the efficiency of thermal engines (either quantum or classical) working with a single heat reservoir like atmosphere. The engine first gets an energy intake, which can be done in arbitrary non-equilibrium way e.g. combustion of…

统计力学 · 物理学 2015-03-20 Pankaj Mehta , Anatoli Polkovnikov

The relationship between thermodynamics and statistical physics is valid in the thermodynamic limit - when the number of particles becomes very large. Here, we study thermodynamics in the opposite regime - at both the nano scale, and when…

量子物理 · 物理学 2014-10-28 Michał Horodecki , Jonathan Oppenheim