Kinetic Theory of Nucleation In Polymers

Nonequilibrium thermodynamics versus model grain growth: derivation and some physical implications

“…2, and what is characteristic of the LMH-like systems [9,11,16,18].) This could be anticipated as another success of the theory that before described quite exhaustively homogeneous [12,14] as well as heterogeneous complex nucleations [13], se also Fig. 1 for sketch of the conception of random close-packing.…”

“…(1). The fundamental procedure offered by nonequilibrium theromodynamics method stresses mostly the role of correlations or grainy matter fluctuations in the random part of the flux, as well as emphasizes a choice of the physical potential applied [12,13,14]. Since we know that, inspite of many additional sub-mechanisms manifesting in the course of agglomeration (misorientation effects; pinning of grain boundaries; dislocation density gradients' action, segregation of molecules, and alike [1,4]), capillary forces are those governing the system, and we may be glad because of finding a "compaction" ln-potential which recovers perfectly the basic form of the flux (1).…”

“…that means that algebraic correlations are assumed in the correlator based on J r (v, t) [13,14]. Since it has been argued [5] (see, literature therein), and experimentally proved [21], that the NG-processes, namely recrystallization as well as grain growth are self-similar in many respects and when based on many versatile measures of self-similarity both in space (grain size) and time, it would be useful to test this assertion.…”

“…Assume, additionaly, that there is a method of constructing it. The method is called mesoscopic nonequilibrium thermodynamics [12,13,14], and starts with the Gibbs equation which represents the entropy virtual change, namely [12,14] …”

“…The gradient, in turn, has to be defined by the chemical activity (not equal to one for non-ideal systems) and by the presumed, but physically very accepted under concrete circumstances, physical potential that can be chosen being either of power-or of non-power form in the grain (bubble) size. The procedure just described can be found elsewhere [12,13,14]. The paper's contents is distributed as follows.…”