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A unified description of i) classical phase transitions and their remnants in finite systems and ii) quantum phase transitions is presented. The ensuing discussion relies on the interplay between, on the one hand, the thermodynamic concepts…

量子物理 · 物理学 2008-10-10 M. K. G. Kruse , H. G. Millerr , A. Plastino , A. R. Plastino

We reconsider a well-known relationship between the fluctuation theorem and the second law of thermodynamics by evaluating a probability measure-valued process. In order to establish a bridge between microscopic and macroscopic behaviors,…

统计力学 · 物理学 2015-03-19 Yuki Sughiyama , Masayuki Ohzeki

We consider a situation where an $N$-level system (NLS) is coupled to a heat bath without being necessarily thermalized. For this situation we derive general Jarzinski-type equations and conclude that heat and entropy is flowing from the…

量子物理 · 物理学 2021-08-25 Heinz-Jürgen Schmidt , Jürgen Schnack , Jochen Gemmer

Our recent theoretical developments related to the nonrelativistic and relativistic fluctuation-electromagnetic interactions of bodies with different temperatures moving translationally and (or) rotationally relative to each other are…

介观与纳米尺度物理 · 物理学 2020-02-11 George Dedkov , Arthur Kyasov

We give a perturbative analysis of Crooks relation and Jarzynski equality in an arbitrary driven quantum system weakly coupled to a heat bath. Invoking no efficient Hamiltonian nor any restriction on the form of the coupling, we derive the…

统计力学 · 物理学 2017-09-15 Yi Peng , Heng Fan

We analyze the distribution of heat generated in driven single-electron transitions and discuss the related non-equilibrium work theorems. In the adiabatic limit, the heat distribution is shown to become Gaussian, with the heat noise that,…

介观与纳米尺度物理 · 物理学 2015-05-28 Dmitri V. Averin , Jukka P. Pekola

The condition of thermal equilibrium simplifies the theoretical treatment of fluctuations as found in the celebrated Einstein's relation between mobility and diffusivity for Brownian motion. Several recent theories relax the hypothesis of…

统计力学 · 物理学 2014-04-10 Andrea Gnoli , Andrea Puglisi , Alessandro Sarracino , Angelo Vulpiani

Fluctuations of energy and heat are investigated during the relaxation following the instantaneous temperature quench of an extended system. Results are obtained analytically for the Gaussian model and for the large $N$ model quenched below…

统计力学 · 物理学 2015-06-22 M. Zannetti , F. Corberi , G. Gonnella , A. Piscitelli

We investigate the temperature uncertainty relation in nonequilibrium probe-based temperature estimation process. We demonstrate that it is the fluctuation of heat that fundamentally determines temperature precision through the…

量子物理 · 物理学 2024-08-13 Ning Zhang , Si-Yuan Bai , Chong Chen

We present a theory to describe the fluctuations of nonequilibrium radiative heat transfer between two bodies both in far and near-field regime. As predicted by the blackbody theory, in far field, we show that the variance of radiative heat…

介观与纳米尺度物理 · 物理学 2018-05-23 Svend-Age Biehs , Philippe Ben-Abdallah

The crucial condition in the derivation of the Jarzynski equality (JE) from the fluctuation theorem is that the time integral of the phase space contraction factor can be exactly expressed as the entropy production resulting from the heat…

统计力学 · 物理学 2015-06-25 Z. C. Tu , Zicong Zhou

The formulation of the First and Second Principles of thermodynamics for a particle in contact with a heat bath and submitted to an external force is analyzed, by means of the Boltzmann-Lorentz kinetic equation. The possible definitions of…

统计力学 · 物理学 2018-02-14 J. Javier Brey , M. J. Ruiz-Montero , Alvaro Dominguez

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…

统计力学 · 物理学 2021-11-10 Phillip C. Lotshaw , Michael E. Kellman

We formulate a full-counting statistics description to study energy exchange in multi-terminal junctions. Our approach applies to quantum systems that are coupled either additively or non-additively (cooperatively) to multiple reservoirs.…

介观与纳米尺度物理 · 物理学 2018-08-29 Hava Meira Friedman , Bijay Kumar Agarwalla , Dvira Segal

The problem of mutual equilibration between two finite, identical quantum systems, A and B, prepared initially at different temperatures is elucidated. We show that the process of energy exchange between the two systems leads to accurate…

统计力学 · 物理学 2012-06-07 A. V. Ponomarev , S. Denisov , J. Gemmer , P. Hänggi

A new microcanonical equilibrium state is introduced for quantum systems with finite-dimensional state spaces. Equilibrium is characterised by a uniform distribution on a level surface of the expectation value of the Hamiltonian. The…

量子物理 · 物理学 2007-10-25 Dorje C. Brody , Daniel W. Hook , Lane P. Hughston

Jarzynski equality and related fluctuation theorems can be formulated for various setups. Such an equality was recently derived for nonunitary quantum evolutions described by unital quantum operations, i.e., for completely positive,…

量子物理 · 物理学 2014-01-24 Alexey E. Rastegin , Karol Życzkowski

The transient quantum fluctuation theorems of Crooks and Jarzynski restrict and relate the statistics of work performed in forward and backward forcing protocols. So far these theorems have been obtained under the assumption that the work…

统计力学 · 物理学 2014-02-07 B. Prasanna Venkatesh , Gentaro Watanabe , Peter Talkner

The Heat theorem reveals the second law of equilibrium Thermodynamics (i.e.existence of Entropy) as a manifestation of a general property of Hamiltonian Mechanics and of the Ergodic Hypothesis, valid for 1 as well as $10^{23}$ degrees of…

统计力学 · 物理学 2008-02-01 Giovanni Gallavotti

This paper is a contribution to the understanding of the thermal properties of aging systems where statistically independent degrees of freedom with largely separated timescales are expected to coexist. Focusing on the prototypical case of…

统计力学 · 物理学 2015-06-03 Federico Corberi , Giuseppe Gonnella , Antonio Piscitelli