Book contents
- Physicochemical Mechanics
- Physicochemical Mechanics
- Copyright page
- Dedication
- Contents
- Preface
- Acknowledgments
- 1 Introduction
- 2 Basics of Mechanics
- 3 Elements of Stochastic Mechanics of Transport
- 4 Chemical Thermodynamics in the Presence of Fields
- 5 Basics of Nonequilibrium Thermodynamics
- 6 Basics of Physicochemical Mechanics
- 7 Physicochemical Mechanics
- 8 Diffusion
- 9 Heat Transfer
- 10 Transmembrane Transport and Biomimetic Membranes
- 11 Outlook and a Word of Caution
- Appendix
- Index
- References
3 - Elements of Stochastic Mechanics of Transport
Published online by Cambridge University Press: 30 November 2023
Book contents
- Physicochemical Mechanics
- Physicochemical Mechanics
- Copyright page
- Dedication
- Contents
- Preface
- Acknowledgments
- 1 Introduction
- 2 Basics of Mechanics
- 3 Elements of Stochastic Mechanics of Transport
- 4 Chemical Thermodynamics in the Presence of Fields
- 5 Basics of Nonequilibrium Thermodynamics
- 6 Basics of Physicochemical Mechanics
- 7 Physicochemical Mechanics
- 8 Diffusion
- 9 Heat Transfer
- 10 Transmembrane Transport and Biomimetic Membranes
- 11 Outlook and a Word of Caution
- Appendix
- Index
- References
Summary
Chapter 3 summarizes major equations of statistical and stochastic mechanics, important for description of molecular transport.
Keywords
- Type
- Chapter
- Information
- Physicochemical MechanicsWith Applications in Physics, Chemistry, Membranology and Biology, pp. 36 - 56Publisher: Cambridge University PressPrint publication year: 2023
References
Alexeev, B. V., 2004. Generalized Boltzmann Physical Kinetics. Amsterdam: Elsevier.CrossRefGoogle Scholar
Brown, R., 1828. A brief account of microscopic observations made in the months of June, July and August, 1827, on the particles contained in the pollen of plants; and on the general existence of active molecules in organic and inorganic bodies. Annals of Physics, 14, pp. 294–313.CrossRefGoogle Scholar
Cooksy, A., 2014. Physical Chemistry: Thermodynamics, Statistical Mechanics, & Kinetics. 1st ed. Boston: Pearson.Google Scholar
Davies, R. W., 1954. The connection between the Smoluchowski equation and the Kramers-Chandrasekhar equation. Physical Review, 93(6), pp. 1169–1170.CrossRefGoogle Scholar
Einstein, A., 1956. Investigations on the Theory of the Brownian Movement. New York: Dower.Google Scholar
Gnedenko, B. V. & Kolmogorov, A. N., 1954. Limit Distributions for Sums of Independent Random Variables. Cambridge: Addison-Wesley.Google Scholar
Kubo, R., Toda, M. & Hashitsume, N., 1991. Statistical Physics II: Nonequilibrium Statistical Mechanics. 2nd ed. Berlin: Springer-Verlag.CrossRefGoogle Scholar
Landau, L. D. & Lifshitz, E. M., 1987. Fluid Mechanics. Vol. 6., 2nd ed. Amsterdam: Elsevier.Google Scholar
Lemons, D. S., 2002. An Introduction to Stochastic Processes in Physics. Baltimore: Johns Hopkins University Press.Google Scholar
Lifshitz, E. & Pitaevskii, L., 1981. Physical Kinetics. Vol. 10, Landau, L. D. and Lifshitz, E. M. Course of Theoretical Physics. Oxford: Pergamon.Google Scholar
Mannella, R. & McClintock, P. V. E., 2012. Itô versus Stratonovich: 30 years later. Fluctuation and Noise Letters, 11(1), 1240010.CrossRefGoogle Scholar
Risken, H., 1989. The Fokker-Planck Equation, Methods of Solution and Applications. 2nd ed. Berlin: Springer.Google Scholar
Schulten, K., 1999. Non-equilibrium Statistical Mechanics. Lecture Notes. Urbana:University of Illinois. www.ks.uiuc.edu/Services/Class/PHYS550/.Google Scholar
Sommerfeld, A., 1952. Thermodynamik und Statistic. Wiesbaden: Dieterich’sche Verlagsbuchhandlung.Google Scholar