‎"SMOLUCHOWSKI, MARIAN.‎
‎Versuch einer mathematischen Theorie der Koagulationskinetik kolloidaler Lösungen.‎

‎Leipzig, Wilhelm Engelmann, 1917. 8vo. In the original printed wrappers. Offprint from: ""Zeitschrift für physicalische Chemie"", XCII band, 2. heft. Very fine and clean. Pp. 129-168.‎

Reference : 48704

‎Scarce offprint of Smoluchowski's important paper on the mathematics behind his seminal coagulation equation. ""The underlying model may be described as follows: Consider n particles in three-dimensional Euclidean space, each particle being surrounded by a sphere of influence of diameter R. The particles move independently of each other, according to a Brownian Motion, as long as their distance is greater than R. When two particles meet at a distance R they stick together and form a ""double particle"", which itself is again in Brownian motion - and so on. Smoluchowski found on a heuristic basis an explicit formula for the average concentration of single, double, triple etc. particles at a time t."" (Lang, Smoluchowski's Theory of Coagulation in Colloids Holds Rigorously in the Boltzmann-Grad-Limit)‎