Critical behaviour for vulcanization processes

Critical behaviour for vulcanization processes

2014 We consider a polymer melt, with polymerization index N and a fraction p of cross linked monomers, for values of p close to the gelation threshold (p = 03C1c + 039403C1). Using a Ginsburg argument, we find that (in three dimensions) the Flory theory is qualitatively correct whenever N > (03C1c/039403C1)3. For shorter chains the critical exponents are expected to be of the percolation ...

Theory & Practice Of Vulcanization

Upper critical dimension for aggregation processes.

Aggregation kinetics are often described by the population balance (or Smoluchowski coagulation) equation. The population balance equation is a mean-field equation for an aggregation process. An upper critical dimension d, calculated for a given aggregation frequency has been used by other investigators to characterize the validity of this mean-field equation. It is shown that the upper critica...

Critical and near-critical branching processes.

Scale-free dynamics in physical and biological systems can arise from a variety of causes. Here, we explore a branching process which leads to such dynamics. We find conditions for the appearance of power laws and study quantitatively what happens to these power laws when such conditions are violated. From a branching process model, we predict the behavior of two systems which seem to exhibit n...

Advanced Information System for Safety-Critical Processes

The paper deals with the design and implementation of an intelligent modular information system (IMIS) for modeling and predictive decision making supervisory control of some important critical processes in a nuclear power plant (nuclear reactor) using selected soft computing methods. The developed IMIS enables monitoring critical states, safety impact analysis and prediction of dangerous situa...