Large-N kinetic theory for highly occupied systems

We consider an effective kinetic description for quantum many-body systems, which is not based on a weak-coupling or diluteness expansion. Instead, it employs an expansion in the number of field components N of the underlying scalar quantum field theory. Extending previous studies, we demonstrate that the large-N kinetic theory at next-to-leading order is able to describe important aspects of highly occupied systems, which are beyond standard perturbative kinetic approaches. We analyze the underlying quasiparticle dynamics by computing the effective scattering matrix elements analytically and solve numerically the large-N kinetic equation for a highly occupied system far from equilibrium. T…

The reaction of ethylene glycol, 1,4-butanediol, 1,6-hexanediol, 3,6-dioxaoctane-1,8-diol (triethylene glycol), poly(ethylene oxide)s with Mn = 300,1000 and 3000, or with poly(propylene oxide)s with Mn = 425 and 2000 in excess with AIBN leads to the corresponding bis(hydroxyalkyl) 2,2′-azodiisobutyrates (1a–i). These initiators are suited to synthesize telechelics. With equimolar amounts of AIBN and 3-oxapentane-1,5-diol (diethylene glycol), poly(ethylene oxide)s with Mn = 300, 1000 and 12000, poly(propylene oxide) with Mn = 425, or with poly(tetrahydrofuran) with Mn = 1000 and 2000 polymeric azoinitiators of structure 2 are formed. Blockcopolymers may be synthesized by means of these polym…