Fluctuation Theorem for Currents and Schnakenberg Network Theory
- 525 Downloads
A fluctuation theorem is proved for the macroscopic currents of a system in a nonequilibrium steady state, by using Schnakenberg network theory. The theorem can be applied, in particular, in reaction systems where the affinities or thermodynamic forces are defined globally in terms of the cycles of the graph associated with the stochastic process describing the time evolution.
Keywordsnonequilibrium steady state entropy production affinities thermodynamic forces fluctuation theorem
Unable to display preview. Download preview PDF.
- T. De Donder and P. Van Rysselberghe, Affinity (Stanford University Press, Menlo Park CA, 1936).Google Scholar
- I. Prigogine, Introduction to Thermodynamics of Irreversible Processes (Wiley, New York, 1967).Google Scholar
- C.W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences, 2nd Ed. (Springer-Verlag, 1990).Google Scholar
- H. J. Kreuser and S. H. Payne, Theoretical Approaches to the Kinetics of Adsorption, Desorption and Reactions at Surfaces, in M. Borowko (ed.), Computational Methods in Surface and Colloid Science (Dekker, New York, 2000) p. 439.Google Scholar
- G. Kirchhoff, Poggendorffs ann. Phys. Chem. 72:495 (1847).Google Scholar
- T. L. Hill, Thermodynamics for Chemists and Biologists (Addison-Wesley, Reading MA, 1968).Google Scholar
- C. Jarzynski, J. Stat. Mech. P09005 (2004).Google Scholar
- D. Andrieux and P. Gaspard, J. Stat. Mech.: Th. Exp. P01011 (2006).Google Scholar