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The free energy of glasses cannot be estimated using thermodynamic integration, as glasses are intrinsically not in equilibrium. We present numerical simulations showing that, in contrast, plausible free-energy estimates of a Kob-Andersen…

统计力学 · 物理学 2021-07-07 H. A. Vinutha , Daan Frenkel

A superconducting cavity model was proposed as a way to experimentally investigate the work performed in a quantum system. We found a simple mathematical relationship between the free energy variation and visibility measurement in quantum…

The characteristic function of the work performed by an external time-dependent force on a Hamiltonian quantum system is identified with the time-ordered correlation function of the exponentiated system's Hamiltonian. A similar expression…

统计力学 · 物理学 2009-11-13 Peter Talkner , Eric Lutz , Peter Hanggi

Bridging equilibrium and nonequilibrium statistical physics attracts sustained interest. Hallmarks of nonequilibrium systems include a breakdown of detailed balance, and an absence of a priori potential function corresponding to the…

统计力学 · 物理学 2015-04-24 Ying Tang , Ruoshi Yuan , Jianhong Chen , Ping Ao

We provide a stochastic thermodynamic description across scales for $N$ identical units with all-to-all interactions that are driven away from equilibrium by different reservoirs and external forces. We start at the microscopic level with…

统计力学 · 物理学 2020-07-07 Tim Herpich , Tommaso Cossetto , Gianmaria Falasco , Massimiliano Esposito

We derive analytical expressions for the bias of the Jarzynski free-energy estimator from N nonequilibrium work measurements, for a generic work distribution. To achieve this, we map the estimator onto the Random Energy Model in a suitable…

统计力学 · 物理学 2015-05-30 Matteo Palassini , Felix Ritort

We study the thermodynamics of quantum projective measurements by using the set up for the Jarzynski equality. We prove the fluctuations of energy change induced by measurements satisfy the Jarzynski equality, revealing that the quantum…

统计力学 · 物理学 2015-08-31 Juyeon Yi , Yong Woon Kim

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…

统计力学 · 物理学 2009-11-11 Frederic Douarche , Sergio Ciliberto , Artem Petrosyan

Active matter generates order or patterns through nonequilibrium dynamics. An open research challenge is to determine how efficiently a nonequilibrium self-organising system can convert consumed energy into macroscopic order. We study an…

适应与自组织系统 · 物理学 2026-05-07 Qianyang Chen , Mikhail Prokopenko

We study the motion of an overdamped colloidal particle in a time-dependent non-harmonic potential. We demonstrate the first law-like balance between applied work, exchanged heat, and internal energy on the level of a single trajectory. The…

统计力学 · 物理学 2007-05-23 V. Blickle , T. Speck , L. Helden , U. Seifert , C. Bechinger

The characteristic function for the joint measurement of the changes of two commuting observables upon an external forcing of a quantum system is derived. In particular, the statistics of the internal energy, the exchanged heat and the work…

统计力学 · 物理学 2009-02-18 Peter Talkner , Michele Campisi , Peter Hänggi

Research on the out-of-equilibrium dynamics of quantum systems has so far produced important statements on the thermodynamics of small systems undergoing quantum mechanical evolutions. Key examples are provided by the Crooks and Jarzynski…

The universal quantum work relation connects a functional of an arbitrary observable averaged over the forward process to the free energy difference and another functional averaged over the time-reversed process. Here, we ask the question…

量子物理 · 物理学 2012-04-18 Arun Kumar Pati , Mamata Sahoo , Biswajit Pradhan

We consider a generalized version of the Random Energy Model in which the energy of each configuration is given by the sum of $N$ independent contributions ("local energies") with finite variances but otherwise arbitrary statistics. Using…

统计力学 · 物理学 2013-07-25 Florian Angeletti , Eric Bertin , Patrice Abry

We derive analogues of the Jarzynski equality and Crooks relation to characterise the nonequilibrium work associated with changes in the spring constant of an overdamped oscillator in a quadratically varying spatial temperature profile. The…

统计力学 · 物理学 2015-09-30 Ian J. Ford , Robert W. Eyre

Concepts of everyday use like energy, heat, and temperature have acquired a precise meaning after the development of thermodynamics. Thermodynamics provides the basis for understanding how heat and work are related and with the general…

统计力学 · 物理学 2007-05-23 D. Reguera , J. M. Rubi , J. M. G. Vilar

Active systems evade the rules of equilibrium thermodynamics by constantly dissipating energy at the level of their microscopic components. This energy flux stems from the conversion of a fuel, present in the environment, into sustained…

软凝聚态物质 · 物理学 2022-03-15 Étienne Fodor , Robert L. Jack , Michael E. Cates

Thermodynamics is usually formulated on the presumption that the observer has complete information about the system he/she deals with: no parasitic current, exact evaluation of the forces that drive the system. For example, the acclaimed…

统计力学 · 物理学 2017-12-15 Matteo Polettini , Massimiliano Esposito

Five previously unknown inequalities relating equilibrium free energy differences and non-equilibrium work fluctuations are derived, and lucid path to derivation of many similar inequalities is presented. These results are based upon…

统计力学 · 物理学 2011-05-24 Alexander Davydov

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…

量子物理 · 物理学 2014-10-28 Michał Horodecki , Jonathan Oppenheim