Reinhard Mahnke

Thermodynamics of Heterogeneous Systems

As it was already mentioned in chapter 1 the following premises of thermodynamic nature are underlying classical nucleation theory, a number of its modifications and generalizations; first, the existence of a critical cluster size rc; second, the possibility to express the work of formation of such critical clusters by n n

Grundideen der Synergetik

W = frac{1}{3}sigma {A_c}quad {A_c} = 4;pi ;r_c^2

Methoden der Analyse nichtlinearer Phänomene

n n(2.1) n nwhere б is the surface tension for a planar interface between the both phases; third, the possibility to describe the bulk contributions to the thermodynamic properties of the cluster by the macroscopic characteristics of the corresponding phases; fourth, that the probability P of formation of the critical clusters is proportional to n n

Klassische mechanische Systeme

P sim exp ( - frac{W}{{kT}})

Das Kolmogorov—Arnold—Moser—Theorem (KAM-Theorem) und einige Konsequenzen

n n(2.2)

Verteilung und Häufigkeit chemischer Elemente

Since the process of coarsening, the growth of the mean radius of the clusters of a new phase in solutions connected with a decrease of their number was described and discussed first by OSTWALD (1901), such a process is widely denoted as Ostwald ripening (LIESEGANG, 1911).