Population balance equation in statistical physics
This diagram describes the aggregation kinetics of discrete particles according to the Smoluchowski aggregation equation.
In statistical physics, the Smoluchowski coagulation equation is a population balance equation introduced by Marian Smoluchowski in a seminal 1916 publication,[1] describing the time evolution of the number density of particles as they coagulate (in this context "clumping together") to size x at time t.
Simultaneous coagulation (or aggregation) is encountered in processes involving polymerization,[2] coalescence of aerosols,[3] emulsication,[4] flocculation.[5]
^Smoluchowski, Marian (1916). "Drei Vorträge über Diffusion, Brownsche Molekularbewegung und Koagulation von Kolloidteilchen". Phys. Z. (in German). 17: 557–571, 585–599. Bibcode:1916ZPhy...17..557S.
^Blatz, P. J.; Tobolsky, A. V. (1945). "Note on the Kinetics of Systems Manifesting Simultaneous Polymerization-Depolymerization Phenomena". The Journal of Physical Chemistry. 49 (2): 77–80. doi:10.1021/j150440a004. ISSN 0092-7325.
^Agranovski, Igor (2011). Aerosols: Science and Technology. John Wiley & Sons. p. 492. ISBN 978-3527632084.
^Danov, Krassimir D.; Ivanov, Ivan B.; Gurkov, Theodor D.; Borwankar, Rajendra P. (1994). "Kinetic Model for the Simultaneous Processes of Flocculation and Coalescence in Emulsion Systems". Journal of Colloid and Interface Science. 167 (1): 8–17. Bibcode:1994JCIS..167....8D. doi:10.1006/jcis.1994.1328. ISSN 0021-9797.
^Thomas, D.N.; Judd, S.J.; Fawcett, N. (1999). "Flocculation modelling: a review". Water Research. 33 (7): 1579–1592. doi:10.1016/S0043-1354(98)00392-3. ISSN 0043-1354.
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