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We consider a generalisation of thermodynamics that deals with multiple conserved quantities at the level of individual quantum systems. Each conserved quantity, which, importantly, need not commute with the rest, can be extracted and…

Quantum Physics · Physics 2016-07-14 Yelena Guryanova , Sandu Popescu , Anthony J. Short , Ralph Silva , Paul Skrzypczyk

Anomalous heat transfer (AHT), a process by which heat spontaneously flows from a cold system into a hot one, superficially contradicts the Clausius statement of the second law of thermodynamics. Here we provide a full classification of…

Quantum Physics · Physics 2024-12-31 Teng Ma , Jing-Ning Zhang , Yuan-Sheng Wang , Hong-Yi Xie , Man-Hong Yung

Heat flow and thermal profile in a 1D harmonic lattice with coordinate-dependent masses has been calculated in the thermodynamic limit. It is shown in the particular example of a 1D harmonic lattice with linearly increasing masses that in…

Statistical Mechanics · Physics 2013-05-09 K. V. Reich

In textbooks on statistical mechanics, one finds often arguments based on classical mechanics, phase space and ergodicity in order to justify the second law of thermodynamics. However, the basic equations of motion of classical mechanics…

Statistical Mechanics · Physics 2014-08-28 Barbara Drossel

Through an exact analysis using quantum Langevin dynamics, we demonstrate the crossover from ballistic to diffusive thermal transport in a harmonic chain with each site connected to Ohmic heat reservoirs. The temperatures of the two heat…

Statistical Mechanics · Physics 2009-11-13 Dibyendu Roy

The relationships between reversible Carnot cycles, the absence of perpetual motion machines and the existence of a non-decreasing, globally unique entropy function forms the starting point of many textbook presentations of the foundations…

Statistical Mechanics · Physics 2015-05-14 O. J. E. Maroney

Microcanonical thermodynamics allows the application of statistical mechanics both to finite and even small systems and also to the largest, self-gravitating ones. However, one must reconsider the fundamental principles of statistical…

Statistical Mechanics · Physics 2009-11-11 D. H. E. Gross , J. F. Kenney

Compared to other formulations of the second law of thermodynamics, the Clausius statement that heat does not spontaneously flow from cold to hot concerns a system in non-equilibrium states, and in that respect is more ambitious but also…

Statistical Mechanics · Physics 2020-12-18 Alex V. Plyukhin

We address the problem of heat conduction in 1-D nonlinear chains; we show that, acting on the parameter which controls the strength of the on site potential inside a segment of the chain, we induce a transition from conducting to…

Statistical Mechanics · Physics 2009-11-07 M. Terraneo , M. Peyrard , G. Casati

It was predicted and recently experimentally confirmed that systems with microscopically reversible dynamics in locally quadratic potentials warm up faster than they cool down. This thermal relaxation asymmetry challenged the…

Statistical Mechanics · Physics 2023-12-12 Cai Dieball , Gerrit Wellecke , Aljaž Godec

Understanding heat transport in one-dimensional systems remains a major challenge in theoretical physics, both from the quantum as well as from the classical point of view. In fact, steady states of one-dimensional systems are commonly…

Statistical Mechanics · Physics 2019-10-02 Carlos Mejía-Monasterio , Antonio Politi , Lamberto Rondoni

According to the second law of thermodynamics the total entropy of a system is increased during almost any dynamical process. The positivity of the specific heat implies that the entropy increase is associated with heating. This is…

Statistical Mechanics · Physics 2015-06-11 Luca D'Alessio , Anatoli Polkovnikov

The process of thermalization in many-body systems is driven by complex interactions among sub-systems and with the surrounding environment. Here we lay the theoretical foundations for the active control of local thermal states in arbitrary…

Mesoscale and Nanoscale Physics · Physics 2022-12-27 Philippe Ben-Abdallah , Alejandro W. Rodriguez

We investigate the validity of the generalized second law of thermodynamics, in the cosmological scenario where dark energy interacts with both dark matter and radiation. Calculating separately the entropy variation for each fluid component…

High Energy Physics - Theory · Physics 2010-07-20 Mubasher Jamil , Emmanuel N. Saridakis , M. R. Setare

The statistical mechanical description of small systems staying in thermal equilibrium with an environment can be achieved by means of the Hamiltonian of mean force. In contrast to the reduced density matrix of an open quantum system, or…

Statistical Mechanics · Physics 2020-10-28 Peter Talkner , Peter Hänggi

A model computational quantum thermodynamic network is constructed with two variable temperature baths coupled by a linker system, with an asymmetry in the coupling of the linker to the two baths. It is found in computational simulations…

Statistical Mechanics · Physics 2021-11-10 Phillip C. Lotshaw , Michael E. Kellman

For a small driven system coupled strongly to a heat bath, internal energy and exchanged heat are identified such that they obey the usual additive form of the first law. By identifying this exchanged heat with the entropy change of the…

Statistical Mechanics · Physics 2016-02-03 Udo Seifert

Non-isothermal particles suspended in a fluid lead to complex interactions -- the particles respond to changes in the fluid flow, which in turn is modified by their temperature anomaly. Here, we perform a novel proof-of-concept numerical…

Fluid Dynamics · Physics 2022-12-06 Lokahith Agasthya , Andreas Bartel , Luca Biferale , Matthias Ehrhardt , Federico Toschi

We consider heat conduction across an ordered oscillator chain with harmonic interparticle interactions and also onsite harmonic potentials. The onsite spring constant is the same for all sites excepting the boundary sites. The chain is…

Statistical Mechanics · Physics 2009-11-13 Dibyendu Roy , Abhishek Dhar

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…

Analysis of PDEs · Mathematics 2018-09-06 Zaibao Yang , Wen-An Yong , Yi Zhu
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