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The past twenty years have seen a resurgence of interest in nonequilibrium thermodynamics, thanks to advances in the theory of stochastic processes and in their thermodynamic interpretation. Fluctuation theorems provide fundamental…

统计力学 · 物理学 2017-11-16 Robert Marsland , Jeremy England

The Fluctuation Theorem describes the probability ratio of observing trajectories that satisfy or violate the second law of thermodynamics. It has been proved in a number of different ways for thermostatted deterministic nonequilibrium…

统计力学 · 物理学 2009-10-31 Debra J. Searles , Denis J. Evans

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

In the last ten years, a number of ``Conventional Fluctuation Theorems'' have been derived for systems with deterministic or stochastic dynamics, in a transient or in a non-equilibrium stationary state. These theorems gave explicit…

统计力学 · 物理学 2007-05-23 R. van Zon , E. G. D. Cohen

We present a fluctuation relation for heat dissipation in a nonequilibrium system. A nonequilibrium work is known to obey the fluctuation theorem in any time interval $t$. A heat, which differs from a work by an energy change, is shown to…

统计力学 · 物理学 2012-06-19 Jae Dong Noh , Jong-Min Park

Heat fluctuations over a time \tau in a non-equilibrium stationary state and in a transient state are studied for a simple system with deterministic and stochastic components: a Brownian particle dragged through a fluid by a harmonic…

统计力学 · 物理学 2007-05-23 R. van Zon , E. G. D. Cohen

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

Fluctuation theorems impose constraints on possible work extraction probabilities in thermodynamical processes. These constraints are stronger than the usual second law, which is concerned only with average values. Here, we show that such…

量子物理 · 物理学 2020-02-21 Paul Boes , Rodrigo Gallego , Nelly H. Y. Ng , Jens Eisert , Henrik Wilming

The thermodynamic uncertainty relation (TUR) provides a universal entropic bound for the precision of the fluctuation of the charge transfer for example for a class of continuous time stochastic processes. However, its extension to general…

统计力学 · 物理学 2022-04-20 Takaaki Monnai

In a generalized framework for the Landauer erasure protocol, we study bounds on the heat dissipated in typical nonequilibrium quantum processes. In contrast to thermodynamic processes, quantum fluctuations are not suppressed in the…

量子物理 · 物理学 2018-05-16 Philip Taranto , Kavan Modi , Felix A. Pollock

All previously derived thermodynamic fluctuation theorems (FTs) that concern multiple co-evolving systems have required that each system can only change its state during an associated pre-fixed, limited set of time intervals. However, in…

统计力学 · 物理学 2021-04-16 David H. Wolpert

Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small nonequilibrium systems. While work and heat are equally important forms of energy exchange, fluctuation relations have not been experimentally…

We proved when random-variable fluctuations obey the central limit theorem the equality of the uncertainty relation corresponds to the thermodynamic equilibrium state. The inequality corresponds to the thermodynamic non-equilibrium state.…

量子物理 · 物理学 2007-05-23 You-gang Feng

For macroscopic systems, the second law of thermodynamics establishes an inequality between the amount of work performed on a system in contact with a thermal reservoir, and the change in its free energy. For microscopic systems, this…

统计力学 · 物理学 2010-02-08 Eliran Boksenbojm , Bram Wynants , Christopher Jarzynski

Fluctuation theorems are a generalization of thermodynamics on small scales and provide the tools to characterize the fluctuations of thermodynamic quantities in non-equilibrium nanoscale systems. They are particularly important for…

统计力学 · 物理学 2014-04-03 Jan Gieseler , Romain Quidant , Christoph Dellago , Lukas Novotny

The fluctuation theorem is the fundamental equality in nonequilibrium thermodynamics that is used to derive many important thermodynamic relations, such as the second law of thermodynamics and the Jarzynski equality. Recently, the…

统计力学 · 物理学 2019-09-16 Yoshihiko Hasegawa , Tan Van Vu

According to the second law of thermodynamics, for every transformation performed on a system which is in contact with an environment of fixed temperature, the extracted work is bounded by the decrease of the free energy of the system.…

量子物理 · 物理学 2016-07-15 Vasco Cavina , Andrea Mari , Vittorio Giovannetti

Heat fluctuations are studied in a dissipative system with both mechanical and stochastic components for a simple model: a Brownian particle dragged through water by a moving potential. An extended stationary state fluctuation theorem is…

统计力学 · 物理学 2007-05-23 R. van Zon , E. G. D. Cohen

The second law of thermodynamics, formulated as an ultimate bound on the maximum extractable work, has been rigorously derived in multiple scenarios. However, the unavoidable limitations that emerge due to the lack of control on small…

量子物理 · 物理学 2016-04-27 H. Wilming , R. Gallego , J. Eisert

We present a general framework for systems which are prepared in a non-stationary non-equilibrium state in the absence of any perturbation, and which are then further driven through the application of a time-dependent perturbation. We…

统计力学 · 物理学 2012-12-06 Gatien Verley , David Lacoste
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