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A central endeavor of thermodynamics is the measurement of free energy changes. Regrettably, although we can measure the free energy of a system in thermodynamic equilibrium, typically all we can say about the free energy of a…

Statistical Mechanics · Physics 2012-04-10 David A. Sivak , Gavin E. Crooks

Characterizing fluctuations of work in coherent quantum systems is notoriously problematic. Here we reveal the ultimate source of the problem by proving that ($\mathfrak{A}$) energy conservation and ($\mathfrak{B}$) the Jarzynski…

Quantum Physics · Physics 2024-05-08 Karen V. Hovhannisyan , Alberto Imparato

The probability distribution of the total entropy production in the non-equilibrium steady state follows a symmetry relation called the fluctuation theorem. When a certain part of the system is masked or hidden, it is difficult to infer the…

Statistical Mechanics · Physics 2020-04-29 Deepak Gupta , Sanjib Sabhapandit

The study of thermodynamic fluctuations allows one to relate the free energy difference between two equilibrium states with the work done on a system through processes far from equilibrium. This finding plays a crucial role in the quantum…

The statistics of lagrangian velocity divergence are studied for an assembly of particles in compressible turbulence on a free surface. Under an appropriate definition of entropy, the two-dimensional lagrangian velocity divergence of a…

Chaotic Dynamics · Physics 2009-11-11 M. M. Bandi , J. R. Cressman , W. I. Goldburg

In the standard framework of thermodynamics the work produced or consumed in a process is a random variable whose average value is bounded by the change in the free energy of the system. This work is calculated without regard for the size…

Quantum Physics · Physics 2017-04-19 Jonathan G. Richens , Lluis Masanes

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

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…

Statistical Mechanics · Physics 2009-11-13 Peter Talkner , Eric Lutz , Peter Hanggi

Constructing a thermodynamic framework for nonequilibrium systems remains a major challenge, as quantities such as temperature and free energy often become ambiguous when inferred solely from steady-state properties. Here we take a…

The measurement of thermal fluctuations provides information about the microscopic state of a thermodynamic system and can be used in order to extract work from a single heat bath in a suitable cyclic process. We present a minimal framework…

Statistical Mechanics · Physics 2015-06-03 Léo Granger , Holger Kantz

The work fluctuations of an oscillator in contact with a thermostat and driven out of equilibrium by an external force are studied experimentally and theoretically within the context of Fluctuation Theorems (FTs). The oscillator dynamics is…

Statistical Mechanics · Physics 2007-05-23 Frederic Douarche , Sylvain Joubaud , Nicolas B. Garnier , Artem Petrosyan , Sergio Ciliberto

Fluctuation Theorem(FT) has been studied as far from equilibrium theorem, which relates the symmetry of entropy production. To investigate the application of this theorem, especially to biological physics, we consider the FT for tilted…

Statistical Mechanics · Physics 2009-11-10 T. Monnai

The difference Delta F between free energies has applications in biology, chemistry, and pharmacology. The value of Delta F can be estimated from experiments or simulations, via fluctuation theorems developed in statistical mechanics.…

Statistical Mechanics · Physics 2016-06-03 Nicole Yunger Halpern , Christopher Jarzynski

Recent theoretical predictions and experimental measurements have demonstrated that equilibrium free energy differences can be obtained from exponential averages of nonequilibrium work values. These results are similar in structure, but not…

Statistical Mechanics · Physics 2009-11-11 Christopher Jarzynski

When a thermally isolated system performs a driving process in the quasistatic regime, its variation of average energy is equal to its quasistatic work. Even though presenting this simple definition, few attempts have been made to describe…

Statistical Mechanics · Physics 2025-02-17 Pierre Nazé

The Fluctuation Theorems are a group of exact relations that remain valid irrespective of how far the system has been driven away from equilibrium. Other than having practical applications, like determination of equilibrium free energy…

Statistical Mechanics · Physics 2016-11-04 Sourabh Lahiri , A. M. Jayannavar

We derive a fluctuation theorem for generalized work distributions, related to bijective mappings of the phase spaces of two physical systems, and use it to derive a two-sided constraint maximum likelihood estimator of their free energy…

Statistical Mechanics · Physics 2009-01-15 A. M. Hahn , H. Then

Loops undergoing thermal fluctuations are prevalent in nature. Ring-like or cross-linked polymers, cyclic macromolecules, and protein-mediated DNA loops all belong to this category. Stability of these molecules are generally described in…

Computational Physics · Physics 2016-04-27 James T. Waters , Harold D. Kim

Thermodynamics describes large-scale, slowly evolving systems. Two modern approaches generalize thermodynamics: fluctuation theorems, which concern finite-time nonequilibrium processes, and one-shot statistical mechanics, which concerns…

Statistical Mechanics · Physics 2018-05-30 Nicole Yunger Halpern , Andrew J. P. Garner , Oscar C. O. Dahlsten , Vlatko Vedral

We compare the fluctuation relations for work and entropy in underdamped and overdamped systems, when the friction coefficient of the medium is space-dependent. We find that these relations remain unaffected in both cases. However, for the…

Statistical Mechanics · Physics 2015-06-15 Sourabh Lahiri , Shubhashis Rana , A. M. Jayannavar