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There are only a very few known relations in statistical dynamics that are valid for systems driven arbitrarily far-from-equilibrium. One of these is the fluctuation theorem, which places conditions on the entropy production probability…

Statistical Mechanics · Physics 2009-09-25 Gavin E. Crooks

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…

We present a method for determining the free energy of coexisting states from irreversible work measurements. Our approach is based on a fluctuation relation that is valid for dissipative transformations in partially equilibrated systems.…

Soft Condensed Matter · Physics 2009-02-21 Ivan Junier , Alessandro Mossa , Maria Manosas , Felix Ritort

The remarkable accuracy and versatility of single-molecule techniques make possible new measurements that are not feasible in bulk assays. Among these, the precise estimation of folding free energies using fluctuation theorems in…

Biomolecules · Quantitative Biology 2019-12-19 Aurelien Severino , Alvaro Martinez Monge , Paolo Rissone , Felix Ritort

Recently many results namely the Fluctuation theorems (FT), have been discovered for systems arbitrarily away from equilibrium. Many of these relations have been experimentally tested. The system under consideration is usually driven out of…

Statistical Mechanics · Physics 2019-10-02 Rahul Marathe , Sourabh Lahiri

The description of nonequilibrium processes in nano-sized objects, where the typical energies involved are a few times, is increasingly becoming central to disciplines as diverse as condensed-matter physics, materials science, and…

Statistical Mechanics · Physics 2009-11-11 D. Collin , F. Ritort , C. Jarzynski , S. B. Smith , I. Tinoco , C. Bustamante

The Jarzynski equality and the fluctuation theorem relate equilibrium free energy differences to non-equilibrium measurements of the work. These relations extend to single-molecule experiments that have probed the finite-time thermodynamics…

Statistical Mechanics · Physics 2008-08-30 Paul Maragakis , Felix Ritort , Carlos Bustamante , Martin Karplus , Gavin E. Crooks

The free-energy difference $\Delta F$ between two high-dimensional systems is notoriously difficult to compute, but very important for many applications, such as drug discovery. We demonstrate that an unconventional definition of work…

Soft Condensed Matter · Physics 2024-10-24 Adrianne Zhong , Benjamin Kuznets-Speck , Michael R. DeWeese

In small systems where relevant energies are comparable to thermal agitation, fluctuations are of the order of average values. In systems in thermodynamical equilibrium, the variance of these fluctuations can be related to the dissipation…

Statistical Mechanics · Physics 2007-05-23 Nicolas Garnier , Ciliberto Sergio

A main goal of single-molecule experiments is to evaluate equilibrium free energy differences by applying fluctuation relations to repeated work measurements along irreversible processes. We quantify the error that is made in a free energy…

Statistical Mechanics · Physics 2009-06-22 Alessandro Mossa , Sara de Lorenzo , Josep Maria Huguet , Felix Ritort

Heat, work and entropy production: the statistical distribution of such quantities are constrained by the fluctuation theorems (FT), which reveal crucial properties about the nature of non-equilibrium dynamics. In this paper we report…

Quantum Physics · Physics 2021-10-15 K. Khan , J. Sales Araújo , W. F. Magalhães , G. H. Aguilar , B. de Lima Bernardo

In this report I discuss fluctuation theorems and transient violations of the second law of thermodynamics in small systems. Special emphasis is placed on free-energy recovery methods in the framework of non-equilibrium single-molecule…

Statistical Mechanics · Physics 2015-06-24 F. Ritort

We consider a quasi-probability distribution of work for an isolated quantum system coupled to the energy-storage device given by the ideal weight. Specifically, we analyze a trade-off between changes in average energy and changes in…

Quantum Physics · Physics 2022-07-20 Marcin Łobejko

The non-equilibrium fluctuations of power flux in a fluidized granular media have been recently measured in an experiment [Phys. Rev. Lett. 92, 164301, 2004], which was announced to be a verification of the Fluctuation Relation (FR) by…

Statistical Mechanics · Physics 2007-05-23 A. Puglisi , P. Visco , A. Barrat , E. Trizac , F. van Wijland

Two-state models provide phenomenological descriptions of many different systems, ranging from physics to chemistry and biology. We investigate work fluctuations in an ensemble of two-state systems driven out of equilibrium under the action…

Statistical Mechanics · Physics 2009-11-10 F. Ritort

Two approaches to small-scale and quantum thermodynamics are fluctuation relations and one-shot statistical mechanics. Fluctuation relations (such as Crooks' Theorem and Jarzynski's Equality) relate nonequilibrium behaviors to equilibrium…

Statistical Mechanics · Physics 2015-09-16 Nicole Yunger Halpern , Andrew J. P. Garner , Oscar C. O. Dahlsten , Vlatko Vedral

Fluctuation theorems are one of the pillars of non-equilibrium thermodynamics. Broadly speaking, they concern the statistical distribution of quantities such as heat, work or entropy production. Quantum experiments, however, usually can…

We study a Jarzysnki type equality for work in systems that are monitored using non-projective unsharp measurements. The information acquired by the observer from the outcome $f$ of an energy measurement, and the subsequent conditioned…

Quantum Physics · Physics 2025-12-22 Daniel Alonso , Antonia Ruiz García

Recent advances in non-equilibrium statistical mechanics and single molecule technologies make it possible to extract free energy differences from irreversible work measurements in pulling experiments. To date, free energy recovery has been…

Biological Physics · Physics 2013-04-04 Anna Alemany , Alessandro Mossa , Ivan Junier , Felix Ritort

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
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