Abstract
The connection between the second law of thermodynamics and the principle of microscopic reversibility is studied with mathematical rigor. It is shown that a kinetic scheme adhering to microscopic reversibility necessarily obeys the second law. In addition, it is also proved that any reaction linearly independent from the others must be microscopically reversible. This condition is not necessary for reactions whose stoichiometry can be given as a linear combination of others. An example is given to prove this fact.
Similar content being viewed by others
References
Tolman R.C.: Proc. Natl. Acad. Sci. USA 11, 436 (1925)
Burwell R.L. Jr, Pearson R.G.: J. Phys. Chem. 70, 300 (1966)
J. Chin, J. Chem. Soc. Chem. Commun. 1269 (1980)
Jackson W.G.: Inorg. Chem. 26, 3004 (1987)
Tachiya M., Seki K.: Chem. Phys. Lett. 243, 330 (1995)
Lahti D.W., Espenson J.H.: J. Am. Chem. Soc. 123, 6014 (2001)
Yang X., Hall M.B.: J. Am. Chem. Soc. 129, 1560 (2007)
Colquhoun D., Dowsland K.A., Beato M., Plested A.J.R.: Biophys. J. 86, 3510 (2004)
Nagy I., Kovács B., Tóth J.: React. Kinet. Catal. Lett. 96, 263 (2009)
Blackmond D.G., Matar O.K.: J. Phys. Chem. B 112, 5098 (2008)
Blackmond D.G.: Angew. Chem. Int. Ed. 48, 2648 (2009)
Blackmond D.G.: Chirality 21, 359 (2009)
Gutman I., Nagypál I., Fishtik I.: J. Math. Chem. 18, 73 (1995)
Gutman I., Nagypál I.: J. Math. Chem. 19, 193 (1996)
Nagypál I., Hoffmann E., Gutman I., Fishtik I.: Pure Appl. Chem. 70, 583 (1998)
Hoffmann E.A., Nagypál I.: Phys. Chem. Chem. Phys. 3, 3107 (2001)
Laidler K.J.: Pure Appl. Chem. 68, 149 (1996)
Atkins P.W.: Physical Chemistry, 6th ed. Oxford University Press, Oxford (1998)
De Donder Th.: L’Affinite. Gauthier-Villars, Paris (1927)
Holstein W.L., Boudart M.: J. Phys. Chem. B 101, 9991 (1997)
Plasson R., Bersini H., Commeyras A.: Proc. Natl. Acad. Sci. USA 101, 16733 (2004)
Lente G.: React. Kinet. Catal. Lett. 95, 13 (2008)
Author information
Authors and Affiliations
Corresponding author
Electronic Supplementary Material
The Below is the Electronic Supplementary Material.
Rights and permissions
About this article
Cite this article
Lente, G. The connection between the second law of thermodynamics and the principle of microscopic reversibility. J Math Chem 47, 1106–1111 (2010). https://doi.org/10.1007/s10910-009-9634-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10910-009-9634-1