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Turbulent flows are out-of-equilibrium because the energy supply at large scales and its dissipation by viscosity at small scales create a net transfer of energy among all scales. Here, the energy cascade is approximated by a combined…

Fluid Dynamics · Physics 2021-01-11 Amilcare Porporato , Milad Hooshyar , Andrew D Bragg , Gabriel Katul

We present the exact theory of quantum engines whose working medium is a network of driven oscillators performing an arbitrary cyclic process while coupled to thermal and nonthermal reservoirs. We show that when coupled to a single…

Quantum Physics · Physics 2022-04-29 Milton Aguilar , Juan Pablo Paz

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…

Quantum Physics · Physics 2014-10-28 Michał Horodecki , Jonathan Oppenheim

The efficiency of macroscopic heat engines is restricted by the second law of thermodynamics. They can reach at most the efficiency of a Carnot engine. In contrast, heat currents in mesoscopic heat engines show fluctuations. Thus, there is…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 Sebastian Pilgram , David Sanchez , Rosa Lopez

The Carnot cycle imposes a fundamental upper limit to the efficiency of a macroscopic motor operating between two thermal baths. However, this bound needs to be reinterpreted at microscopic scales, where molecular bio-motors and some…

Statistical Mechanics · Physics 2016-02-03 Ignacio A. Martínez , Édgar Roldán , Luis Dinis , Dmitri Petrov , Juan M. R. Parrondo , Raúl A. Rica

Whether the strong coupling to thermal baths can improve the performance of quantum thermal machines remains an open issue under active debate. Here, we revisit quantum thermal machines operating with the quasi-static Carnot cycle and aim…

Statistical Mechanics · Physics 2024-04-10 Junjie Liu , Kenneth A. Jung

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…

General Physics · Physics 2010-09-29 Hans R. Moser

The field-dependent equilibrium thermodynamics is derived with two methods: either by using the potential formalism either by the statistical method. Therefore, Pontrjagin's extremum principle of control theory is applied to an extended…

General Physics · Physics 2007-05-23 W. D. Bauer

I consider the non-equilibrium DC transport of electrons through a quantum system with a thermoelectric response. This system may be any nanostructure or molecule modeled by the nonlinear scattering theory which includes Hartree-like…

Mesoscale and Nanoscale Physics · Physics 2013-03-06 Robert S. Whitney

In this study, we investigate the bound on the speed of state transformation in the quantum and classical systems that are coupled to general environment with arbitrary coupling interactions. We show that a Mandelstam-Tamm type speed limit…

Statistical Mechanics · Physics 2021-05-05 Naoto Shiraishi , Keiji Saito

Heat capacity of matter is considered to be its most important property because it holds information about system's degrees of freedom as well as the regime in which the system operates, classical or quantum. Heat capacity is well…

Statistical Mechanics · Physics 2012-06-14 Dima Bolmatov , Vadim Brazhkin , Kostya Trachenko

A new variational principle - extremizing the fixed frame kinetic energy under constant relative enstrophy - for a coupled barotropic flow - rotating solid sphere system is introduced with the following consequences. In particular, angular…

Mathematical Physics · Physics 2009-11-11 Chjan C. Lim

We consider damped stochastic systems in a controlled (time-varying) quadratic potential and study their transition between specified Gibbs-equilibria states in finite time. By the second law of thermodynamics, the minimum amount of work…

Statistical Mechanics · Physics 2018-03-23 Yongxin Chen , Tryphon Georgiou , Allen Tannenbaum

We investigate the dynamics of a gas of non-interacting particle-like soliton waves, demonstrating that phase transitions originate from their collective behavior. This is predicted by solving exactly the nonlinear equations and by…

Pattern Formation and Solitons · Physics 2009-11-13 Andrea Fratalocchi , Claudio Conti , Giancarlo Ruocco , Stefano Trillo

Motivated by ultra-high-energy cosmic ray physics, we discuss all the possible alternatives to the familiar Lorentz transformations of the momentum and the energy of a particle. Starting from natural physical requirements, we exclude all…

High Energy Physics - Theory · Physics 2009-11-10 M. Toller

We analyse a device aimed at the conversion of heat into electrical energy, based on a closed cycle in which a distiller generates two solutions at different concentrations, and an electrochemical cell consumes the concentration difference,…

Chemical Physics · Physics 2022-09-14 Andrea Carati , Massimo Marino , Doriano Brogioli

The efficient production of electricity from nuclear fusion in magnetically confined plasmas relies on a good confinement of the thermal energy. For more than thirty years, the observation that such confinement depends on the mass of the…

Plasma Physics · Physics 2016-06-07 J. Garcia , T. Goerler , F. Jenko

We derive general trade-off relations among the power, efficiency, and constancy for two-terminal thermoelectric systems in the linear response regime. Constancy, which quantifies the steadiness of the heat engine, is measured by its…

Statistical Mechanics · Physics 2026-04-09 Ousi Pan , Zhiqiang Fan , Shunjie Zhang , Liwei Chen , Jincan Chen , Shanhe Su

The equilibrium conditions of a system consisting of a box with gas divided by a piston are revised. The apparent indetermination of the problem is solved by explicitly imposing the constancy of the internal energy when the Entropy Maximum…

Classical Physics · Physics 2010-03-09 Alberto Herrera-Gomez

We address the experimentally observed non-Gaussian fluctuations for the energy injected into a closed turbulent flow at fixed Reynolds number. We propose that the power fluctuations mirror the internal kinetic energy fluctuations. Using a…

Statistical Mechanics · Physics 2007-05-23 B. Portelli , P. C. W. Holdsworth , J. -F. Pinton