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We study temperature fluctuations in mesoscopic $N$-body systems undergoing non-equilibrium processes from the perspective of stochastic thermodynamics. By introducing a stochastic differential equation, we describe the evolution of the…

Statistical Mechanics · Physics 2026-05-19 Zhaoyu Fei , Yu-Han Ma

The theory of continuous phase transitions predicts the universal collective properties of a physical system near a critical point, which for instance manifest in characteristic power-law behaviours of physical observables. The…

Statistical Mechanics · Physics 2016-06-24 Matteo Marcuzzi , Emanuele Levi , Weibin Li , Juan P. Garrahan , Beatriz Olmos , Igor Lesanovsky

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…

Quantum Physics · Physics 2020-02-21 Paul Boes , Rodrigo Gallego , Nelly H. Y. Ng , Jens Eisert , Henrik Wilming

The paper is devoted to a design of a common bounded feedback control steering a system of an arbitrary number of linear oscillators to the equilibrium. At high energies, the control is based on the asymptotic theory of reachable sets of…

Optimization and Control · Mathematics 2015-11-16 Alexander Ovseevich , Aleksey Fedorov

Fluctuation theorems, such as the Jarzynski equality and the Crooks relation, are effective tools connecting non-equilibrium work statistics and equilibrium free energy differences. However, detailed hands-on, reproducible protocols for…

The work fluctuations of an oscillator in contact with a heat reservoir and driven out of equilibrium by an external force are studied experimentally. The oscillator dynamics is modeled by a Langevin equation. We find both experimentally…

Statistical Mechanics · Physics 2009-11-11 Frederic Douarche , Sergio Ciliberto , Artem Petrosyan

We develop a unified fluctuation-response theory in the frequency domain for nonequilibrium steady states governed by overdamped Langevin dynamics and Markov jump processes. The relation expresses the power spectrum of general observables…

Statistical Mechanics · Physics 2026-05-07 Euijoon Kwon , Hyun-Myung Chun , Hyunggyu Park , Jae Sung Lee

Quantum work fluctuation theorem (FT) commonly requires the system initially prepared in an equilibrium state. Whether there exists universal exact quantum work FT for initial state beyond equilibrium needs further discussions. Here, I…

Statistical Mechanics · Physics 2024-01-12 Bao-Ming Xu

We consider a single Josephson junction in the presence of time varying gate charge, and examine the nonequilibrium work done by the charge control in the framework of fluctuation theorems. We obtain the probability distribution functions…

Statistical Mechanics · Physics 2013-02-07 Su Do Yi , Beom Jun Kim , Juyeon Yi

Based on trajectory dependent path probability formalism in state space, we derive generalized entropy production fluctuation relations for a quantum system in the presence of measurement and feedback. We have obtained these results for…

Statistical Mechanics · Physics 2015-06-04 Shubhashis Rana , Sourabh Lahiri , A. M. Jayannavar

Recently (arXiv:0910.2870), we have derived a fluctuation theorem for systems in thermodynamic equilibrium compatible with anomalous response functions, e.g. the existence of states with \textit{negative heat capacities} $C<0$. In this…

Statistical Mechanics · Physics 2013-07-31 L. Velazquez , S. Curilef

Diverse physical systems are characterized by their response to small perturbations. Near thermodynamic equilibrium, the fluctuation-dissipation theorem provides a powerful theoretical and experimental tool to determine the nature of…

Statistical Mechanics · Physics 2020-03-25 Jeremy A. Owen , Todd R. Gingrich , Jordan M. Horowitz

Jarzynski's equality [1] allows us to investigate free energy landscapes (FELs) by constructing distributions of work performed on a system from an initial ensemble of states to final states. This work is experimentally measured by…

Biological Physics · Physics 2011-05-24 Van Ngo

Fluctuation theorems, which have been developed over the past 15 years, have resulted in fundamental breakthroughs in our understanding of how irreversibility emerges from reversible dynamics, and have provided new statistical mechanical…

Statistical Mechanics · Physics 2015-05-13 E. M. Sevick , R. Prabhakar , Stephen R. Williams , Debra J. Searles

We shift the paradigm of feedback control from the control of quantum states to the control of phase transitions in quantum systems. We show that feedback allows tuning the universality class of phase transitions via modifying its critical…

Quantum Physics · Physics 2021-10-04 D. A. Ivanov , T. Yu. Ivanova , S. F. Caballero-Benitez , I. B. Mekhov

In a recent paper, Deffner and Saxena (2015 Phys. Rev. Lett. 114 150601) showed that quantum Jarzynski equality generalizes to PT- symmetric quantum mechanics with unbroken symmetry. later Zeng and Yong (2017 Journal of Phys. Commun. 1…

Statistical Mechanics · Physics 2018-08-28 Saurov Hazarika

The Jarzynski equality (JE) provides a nonequilibrium method to measure and calculate the free energy difference (FED). Note that if two systems share the same Hamiltonian at two equilibrium states, respectively, they share the same FED…

Statistical Mechanics · Physics 2020-07-16 Liyun Zhu , Jiao Wang

It is shown that the work fluctuations and work distribution functions are fundamentally different in systems with short-range versus long-range correlations. The two cases considered with long- range correlations are magnetic work…

Statistical Mechanics · Physics 2017-07-26 T. R. Kirkpatrick , J. K. Bhattacherjee , J. V. Sengers

Non-equilibrium path integral methods for computing quantum free energy differences are applied to a quantum particle trapped in a harmonic well of uniformly changing strength with the purpose of establishing the convergence properties of…

Statistical Mechanics · Physics 2009-11-13 Ramses van Zon , Lisandro Hernandez de la Pena , Gilles H. Peslherbe , Jeremy Schofield

For diffusive systems that can be described by fluctuating hydrodynamics and by the Macroscopic Fluctuation Theory of Bertini et al., the total current fluctuations display universal features when the system is closed and in equilibrium.…

Statistical Mechanics · Physics 2011-11-29 Vivien Lecomte , Alberto Imparato , Frédéric Van Wijland