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6 - Basics of Physicochemical Mechanics

Published online by Cambridge University Press:  30 November 2023

Nikolai Kocherginsky
Affiliation:
University of Illinois, Urbana-Champaign
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Summary

Chapter 6 summarizes new postulates of physicochemical mechanics and gives a simple but systematic derivation of all major transport and equilibrium relations.

Type
Chapter
Information
Physicochemical Mechanics
With Applications in Physics, Chemistry, Membranology and Biology
, pp. 109 - 141
Publisher: Cambridge University Press
Print publication year: 2023

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References

Anon., 1994. Handbook of Chemistry and Physics. Boca Raton: CRC Press.Google Scholar
Astumian, R. & Brody, R., 2009. Thermodynamics of gradient driven transport: Application to single particle tracking. Journal of Physical Chemistry B, 113, pp. 1145911462.CrossRefGoogle ScholarPubMed
Bonetti, M., Nakamae, S., Roger, M. & Guenoun, P., 2011. Huge Seebeck coefficients in nonaqueous electrolytes. Journal of Chemical Physics, 134, 114513.CrossRefGoogle ScholarPubMed
Casimir, H. B. G., 1945. On Onsager’s principle of microscopic reversibility. Reviews of Modern Physics, 17(2–3), pp. 343350.CrossRefGoogle Scholar
Chaichian, M. & Demichev, A., 2001. Path Integrals in Physics. Vol. 1: Stochastic Process and Quantum Mechanics. Boca Raton: CRC Press.CrossRefGoogle Scholar
Dimitrijev, S., 2000. Understanding Semiconductive Devices. New York: Oxford University Press.Google Scholar
Evans, M. & Polanyi, M., 1935. Some applications of the transition state method to the calculation of reaction velocities, especially in solution. Transactions of the Faraday Society, 31, pp. 875894.CrossRefGoogle Scholar
Eyring, H., 1935. The activated complex in chemical reactions. Journal of Chemical Physics, 3(2), pp. 107115.CrossRefGoogle Scholar
Grinstead, C. M. & Snell, J. L., 2006. Introduction to Probability. 2nd ed. Providence: American Mathematical Society.Google Scholar
Hoffmann, K. H., Burzler, J. M. & Schubert, S., 1997. Endoreversible thermodynamics. Journal of Non-equilibrium Thermodynamics, 22(4), pp. 311355.Google Scholar
Iino, M. & Fujimura, Y., 2009. Surface tension of heavy water under high magnetic fields. Applied Physics Letters, 94, 261902.CrossRefGoogle Scholar
Kocherginsky, N. & Gruebele, M., 2016. Mechanical approach to chemical transport. Proceedings of the National Academy of Sciences of the United States of America, 113(40), pp. 1111611121.CrossRefGoogle ScholarPubMed
Kocherginsky, N. M., 1989. The transport of non-electrolytes through an inhomogenious or asymmetric membrane. Russian Journal of Physical Chemistry, 63, pp. 10761078.Google Scholar
Kocherginsky, N. M., 2010. Semi-phenomenological thermodynamic description of chemical kinetics and mass transport. Journal of Non-equilibrium Thermodynamics, 35(2), pp. 97124.CrossRefGoogle Scholar
Kocherginsky, N. M. & Gruebele, M., 2013. A thermodynamic derivation of the reciprocal relations. Journal of Chemical Physics, 138(12), 124502.CrossRefGoogle ScholarPubMed
Kocherginsky, N. M. & Zhang, Y. K., 2003. Role of standard chemical potential in transport through anisotropic media and asymmetrical membranes. Journal of Physical Chemistry B, 107, pp. 78307837.CrossRefGoogle Scholar
Kramers, H. A., 1940. Brownian motion in a field of force and the diffusion model of chemical reactions. Physica, 7(4), pp. 284304.CrossRefGoogle Scholar
Laumann, D., 2018. Even liquids are magnetic: Observation of the Moses effect and the inverse Moses effect. The Physics Teacher, 56 (6), pp. 352354.CrossRefGoogle Scholar
Martyushev, L. M. & Seleznev, V. D., 2006. Maximum entropy production principle in physics, chemistry. Physics Reports, 426, pp. 145.CrossRefGoogle Scholar
Onsager, L., 1931. Reciprocal relations in irreversible processes. II. Physical Review, 38(12), pp. 22652279.CrossRefGoogle Scholar
Rozenbaum, V. et al., 2013. Adiabatically driven Brownian pumps. Physical Review E, 88, 012104.CrossRefGoogle ScholarPubMed
Rubi, J. M., 2012. Mesoscopic thermodynamics. Physica Scripta, T151, 014027.CrossRefGoogle Scholar
van Kampen, N. G., 1991. Onsager relations for transport in inhomogeneous media. Journal of Statistical Physics, 63, pp. 10191033.CrossRefGoogle Scholar
Vapnyarskii, I. B., 2001. Lagrange multipliers. In Hazewinkel, M., ed. Encyclopaedia of Mathematics. Dordrecht: Springer Science+Business Media, Kluwer Academic.Google Scholar
Yang, W. Y. & Gruebele, M., 2003. Folding at the speed limit. Nature, 423(6936), pp. 193197.CrossRefGoogle ScholarPubMed
Yelon, A., Sacher, E. & Linert, W., 2012. Comment on “The mathematical origins of the kinetic compensation effect,” Parts 1 and 2, by P. J. Barrie, Physical Chemistry Chemical Physics, 2012, 14, 318 and 327. Physical Chemistry Chemical Physics, 14, pp. 82328234.CrossRefGoogle Scholar

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