# Nonequilibrium fluctuation theory in electromechanical nucleation. I. Derivation of nucleation

## Related Articles

- Fluctuation Relations for Diffusion Processes. Chetrite, Raphaël; Gawȩdzki, Krzysztof // Communications in Mathematical Physics;Aug2008, Vol. 282 Issue 2, p469
The paper presents a unified approach to different fluctuation relations for classical nonequilibrium dynamics described by diffusion processes. Such relations compare the statistics of fluctuations of the entropy production or work in the original process to the similar statistics in the...

- Nonequilibrium fluctuation-dissipation theorem of Brownian dynamics. Chen, L. Y. // Journal of Chemical Physics;10/14/2008, Vol. 129 Issue 14, p144113
Studying the Brownian motion of a system driven by an external control from one macroscopic state to another macroscopic state, this paper presents the derivation of a nonlinear fluctuation-dissipation theorem (FDT). The new FDT relates the nonequilibrium work to the equilibrium free-energy...

- Superstatistics: theory and applications. Beck, C. // Continuum Mechanics & Thermodynamics;Mar2004, Vol. 16 Issue 3, p293
Superstatistics is a superposition of two different statistics relevant to driven nonequilibrium systems with a stationary state and intensive parameter fluctuations. It contains Tsallis statistics as a special case. After briefly summarizing some of the theoretical aspects, we describe recent...

- Inequalities for Non-equilibrium Fluctuations of Work. Davydov, Alexander // Journal of Statistical Physics;Jan2011, Vol. 142 Issue 2, p394
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 combined exploitation of the Jarzynski equality and the...

- Are pressure fluctuation-based equilibrium methods really worse than nonequilibrium methods for calculating viscosities? Ting Chen; Smit, Berend; Bell, Alexis T. // Journal of Chemical Physics;12/28/2009, Vol. 131 Issue 24, p246101
The article examines whether equilibrium methods, which are based on pressure fluctuation, are worse than the methods of nonequilibrium for viscosity calculation. It states the use of nonequilibrium methods and the formulas in computing shear viscosity, the Green Kubo (GK) and Einstein relation....

- Density-dependent analysis of nonequilibrium paths improves free energy estimates II. A Feynman-Kac formalism. Minh, David D. L.; Vaikuntanathan, Suriyanarayanan // Journal of Chemical Physics;1/21/2011, Vol. 134 Issue 3, p034117
The nonequilibrium fluctuation theorems have paved the way for estimating equilibrium thermodynamic properties, such as free energy differences, using trajectories from driven nonequilibrium processes. While many statistical estimators may be derived from these identities, some are more...

- Experimental free-energy measurements of kinetic molecular states using fluctuation theorems. Alemany, Anna; Mossa, Alessandro; Junier, Ivan; Ritort, Felix // Nature Physics;Sep2012, Vol. 8 Issue 9, p688
Recent advances in non-equilibrium statistical mechanics and single-molecule technologies have made it possible to use irreversible work measurements to extract free-energy differences associated with the mechanical (un)folding of molecules. To date, free-energy recovery has been focused on...

- Some recent developments in non-equilibrium statistical physics. Mallick, K. // Pramana: Journal of Physics;Sep2009, Vol. 73 Issue 3, p417
We first recall the laws of classical thermodynamics and the fundamental principles of statistical mechanics and emphasize the fact that the fluctuations of a system in macroscopic equilibrium, such as Brownian motion, can be explained by statistical mechanics and not by thermodynamics. In the...

- Measurements of the driving forces of bio-motors using the fluctuation theorem. Kumiko Hayashi; Mizue Tanigawara; Jun-ichi Kishikawa // Biophysics (13492942);2012, Vol. 8, p67
The fluctuation theorem (FT), which is a recent achievement in non-equilibrium statistical mechanics, has been suggested to be useful for measuring the driving forces of motor proteins. As an example of this application, we performed single-molecule experiments on F1-ATPase, which is a rotary...