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Onsager conjectured that solutions of the incompressible Euler equations possessing a certain degree of roughness do not conserve the kinetic energy. Since, within the physical frame of Onsager's conjecture, the kinetic energy is the only…

Fluid Dynamics · Physics 2015-09-29 Peter Stubbe

The availability of controllable macroscopic devices, which maintain quantum coherence over relatively long time intervals, for the first time allows an experimental realization of many effects previously considered only as…

Quantum Physics · Physics 2014-08-05 A. M. Zagoskin , S. Savel'ev , Franco Nori , F. V. Kusmartsev

The dynamics of an open quantum system can be described by a quantum operation, a linear, complete positive map of operators. Here, I exhibit a compact expression for the time reversal of a quantum operation, which is closely analogous to…

Quantum Physics · Physics 2008-04-03 Gavin E. Crooks

Collective behavior where a set of elements interact and generate effects that are beyond the reach of the individual non interacting elements, are always of great interest in physics. Quantum collective effects that have no classical…

Quantum Physics · Physics 2016-08-17 Raam Uzdin

We derive the general probability distribution function of stochastic work for quantum Otto engines in which both the isochoric and driving processes are irreversible due to finite time duration. The time-dependent power fluctuations,…

Statistical Mechanics · Physics 2021-03-24 Guangqian Jiao , Shoubao Zhu , Jizhou He , Yongli Ma , Jianhui Wang

The efficiency of a thermal engine working in linear response regime in a multi-terminals configuration is discussed. For the generic three-terminal case, we provide a general definition of local and non-local transport coefficients:…

Mesoscale and Nanoscale Physics · Physics 2014-08-29 Francesco Mazza , Riccardo Bosisio , Giuliano Benenti , Vittorio Giovannetti , Rosario Fazio , Fabio Taddei

We consider a quasi-static quantum Otto cycle using two effectively two-level systems with degeneracy in the excited state. The systems are coupled through isotropic exchange interaction of strength $J>0$, in the presence of an external…

Statistical Mechanics · Physics 2017-09-13 Venu Mehta , Ramandeep S. Johal

We investigate quantum Otto engine and refrigeration cycles of a time-dependent harmonic oscillator operating under the conditions of maximum $\Omega$-function, a trade-off objective function which represents a compromise between energy…

Quantum Physics · Physics 2022-09-14 Varinder Singh , Satnam Singh , Obinna Abah , Özgür E. Müstecaplıoğlu

We studied the efficiency of two different schemes for a quantum heat engine, by considering a single Dirac particle trapped in an infinite one-dimensional potential well as the "working substance." The first scheme is a cycle, composed of…

Statistical Mechanics · Physics 2013-01-14 E. Muñoz , F. J. Peña

We study the problem of a potential interaction of a finite-dimensional Lagrangian system (an oscillator) with a linear infinite-dimensional one (a thermostat). In spite of the energy preservation and the Lagrangian (Hamiltonian) nature of…

Dynamical Systems · Mathematics 2009-12-08 Dmitry Treschev

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…

Statistical Mechanics · Physics 2009-11-10 T. E. Humphrey , H. Linke

Heat engines cannot generally operate at maximum power and efficiency, imposing a trade-off between the two. Here, we highlight the exact nature of this trade-off for engines that exchange heat radiatively with a hot source. We derive…

Applied Physics · Physics 2023-12-25 Maxime Giteau , Michela F. Picardi , Georgia T. Papadakis

We experimentally demonstrate a nano-scale stochastic Stirling heat engine operating in the underdamped regime. The setup involves an optically levitated silica particle that is subjected to a power-varying optical trap and periodically…

We consider relaxation of an isolated system to the equilibrium using detailed balance condition and Onsager's fluctuation approximation. There is a small deviation from the equilibrium in two parameters. For this system, explicit…

Statistical Mechanics · Physics 2012-07-20 V. D. Seleznev , L. M. Martyushev

The approach to a substantiation of thermodynamics is offered. A conservative system of interacting elements, which is not in equilibrium, is used as a model. This system is then split into small subsystems that are accepted as being in…

Statistical Mechanics · Physics 2007-05-23 V. M. Somsikov

Analyzing the dynamics of open quantum systems has a long history in mathematics and physics. Depending on the system at hand, basic physical phenomena that one would like to explain are, for example, convergence to equilibrium, the…

Mathematical Physics · Physics 2015-06-15 Laurent Bruneau , Alain Joye , Marco Merkli

We consider several Hamiltonian systems perturbed by external agents, that preserve their Hamiltonian structure. We investigate the corrections to the canonical statistics resulting from coupling such systems with possibly large but finite…

Statistical Mechanics · Physics 2023-05-25 Matteo Colangeli , Antonio Di Francesco , Lamberto Rondoni

Collisional reservoirs are becoming a major tool for modelling open quantum systems. In their simplest implementation, an external agent switches on, for a given time, the interaction between the system and a specimen from the reservoir.…

A quantum engine with n qubits performing thermodynamic cycles with two thermal reservoirs is presented. While such constructions have been aplenty, here we show the existence of what we term as "limit cycle" at a purely quantum level of…

Quantum Physics · Physics 2024-12-05 Debadrito Roy , Sudhir Ranjan Jain

In this paper we compare three frameworks for modeling flows of complex fluids: (i) local conservations of mass, momentum and energy, (ii) GENERIC, and (iii) Onsager principle. The first is based on the mass, momentum, and energy…

Soft Condensed Matter · Physics 2026-03-05 Miroslav Grmela
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