The emergence of large-scale connectivity and synchronization are crucial to the structure,
function and failure of many complex socio-technical networks. Thus, there is great interest …

Consider N particles, which merge into clusters according to the following rule: a cluster of
size x and a cluster of size y merge at stochastic rate K (x, y)/N, where K is a specified rate …

Aimed at graduate students, this book explores some of the core phenomena in non-
equilibrium statistical physics. It focuses on the development and application of theoretical …

Since the beginning of the century the technological desire to master the fracture of metals,
concrete or polymers has boosted research and has left behind an overwhelming amount of …

For the critical exponents near the sol-gel phase transition, classical theories like those of
Flory and Stockmayer predict one set of exponents, whereas scaling theories based on …

The model of cluster growth by diffusion-limited aggregation of clusters is studied in two
dimensions and the cluster size distribution ns (t) is determined as a function of the cluster …

Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a
comprehensive exposition of the mathematical analysis of coagulation-fragmentation …

For particles undergoing fragmentation with a rate a (y)∼ y β+ 1, where y is the particle size,
a cascading process occurs when β< 1 in which smaller particles break up at increasingly …

In polymer science and technology, linear, branched and crosslinked structures are usually
distinguished. For crosslinked polymers, insolubility and lack of fusibility are considered as …

The kinetics of polymer growth and especially gelation are discussed for a system of
reacting J-functional monomeric units. The gelation models of Flory and Stockmayer are …