Comparison of far-from-equilibrium work relations

By Christopher Jarzynski. 2006

148 citations recorded by the source corpus.

Abstract 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 equivalent, to predictions derived nearly three decades ago by Bochkov and Kuzovlev, which are also formulated in terms of exponential averages but do not involve free energy differences. In the present article the relationship between these two sets of results is elucidated, then illustrated with an undergraduate-level solvable model. The analysis also serves to clarify the physical interpretation of different definitions of work that have been used in the context of thermodynamic systems driven away from equilibrium. To cite this article: C. Jarzynski, C. R. Physique 8 (2007).

Subfields: Biomedical Engineering, Mechanical Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/60c83cf49aadc0bab4b00a5f27f34b3ca3c50164

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In Mechanical Engineering

In Statistical and Nonlinear Physics

Citations in the corpus

Frenesy: Time-symmetric dynamical activity in nonequilibria (2019, background): “which is formally similar to the Jarzynski identity; see [44] for a review of the entropic versions.”
Temperature in and out of equilibrium: A review of concepts, tools and attempts (2017, background): “[76]: assume that, generalizing the above situation, the Hamiltonian depends upon a certain number of external parameters λk(t), with k = 1, .”
Colloquium : Statistical mechanics and thermodynamics at strong coupling: Quantum and classical (2019, background): “More details on the exclusive work can be found in (Campisi et al., 2011; Jarzynski, 2007).”
Thermodynamics with Continuous Information Flow (2014, background): “[77] C.”
Thermodynamics of quantum systems under dynamical control (2015, background): “Most of the quantum heat machine models that have been recently proposed and studied (Abah et al., 2012; Alicki, 1979; Alicki et al., 2004; Allahverdyan et al., 2008; Allahverdyan and Nieuwenhuizen, 2005; Bender et al., 2000, 2002; Blickle and Bechinger, 2011; Van den Broeck, 2005; Campisi et al., 2”
Artificial Brownian motors: Controlling transport on the nanoscale (2008, background): “(2005), came as much of a surprise because it meant that information about macroscopic equilibrium was somehow buried inside individual, randomly fluctuating microscopic systems far from equilibrium, see also (Crooks, 1999; Gallavotti and Cohen, 1995; Jarzynski, 2007; Talkner et al., 2007).”
Colloquium: Quantum fluctuation relations: Foundations and applications (2010, methodology): “The existing reviews on this topic mostly cover classical fluctuation relations (Jarzynski, 2008, 2011; Marconi et al., 2008; Rondoni and Mej́ıa-Monasterio, 2007; Seifert, 2008), while the comprehensive review by Esposito et al. (2009) provides a solid, though in parts technical account of the…”
Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems (2008, unknown): “[94] Horowitz, J., and C. Jarzynski, 2007, “Comparison of work fluctuation relations,” J. Stat.”
Stochastic thermodynamics, fluctuation theorems and molecular machines (2012, methodology): “Contrary to some claims, the BKR is different from the Jarzynski relation since they apply a priori to somewhat different situations [21, 64, 65].”