Analysis of Fluctuations in the Early Universe Using Fokker-Planck Formalism

The thesis begins with a review of basic elements of general theory of relativity (GTR) which forms the basis for the theoretical interpretation of the observations in cosmology. The first chapter also discusses the standard model in cosmology, namely the Friedmann model, its predictions and problems. We have also made a brief discussion on fractals and inflation of the early universe in the first chapter. In the second chapter we discuss the formulation of a new approach to cosmology namely a stochastic approach. In this model, the dynam ics of the early universe is described by a set of non-deterministic, Langevin type equations and we derive the solutions using the Fokker—Planck formalism. Here we demonstrate how the problems with the standard model, can be eliminated by introducing the idea of stochastic fluctuations in the early universe. Many recent observations indicate that the present universe may be approximated by a many component fluid and we assume that only the total energy density is conserved. This, in turn, leads to energy transfer between different components of the cosmic fluid and fluctuations in such energy transfer can certainly induce fluctuations in the mean to factor in the equation of state p = wp, resulting in a fluctuating expansion rate for the universe. The third chapter discusses the stochastic evolution of the cosmological parameters in the early universe, using the new approach. The penultimate chapter is about the refinements to be made in the present model, by means of a new deterministic model The concluding chapter presents a discussion on other problems with the conventional cosmology, like fractal correlation of galactic distribution. The author attempts an explanation for this problem using the stochastic approach.

Energetic Polymers

High energy materials are essential ingredients in both rocket and explosive formulations. These can be vulnerable due to maltreatment. During gulf war, several catastrophic accidents have been reported from their own payload munitions. The role of energetic binders here was to wrap the explosive formulations to convert it into insensitive munitions. With the aid of energetic binders, the explosive charges are not only protected from tragic accidents due to fire, bullet impact, adjacent detonation, unplanned transportation, but also form total energy output presumption. The use of energetic binders in rocket propellants and explosive charges has been increased after the Second World War. Inert binders in combination with energetic materials, performed well as binders but they diluted the final formulation. Obviously the total energy output was reduced. Currently, the research in the field of energetic polymers is an emerging area, since it plays crucial role in insensitive munitions. The present work emphasises on the synthesis and characterization of oxetanes, oxiranes and polyphosphazene based energetic polymers. The thesis is structured into six chapters. First part of chapter 1 deals with brief history of energetic polymers. The second part describes a brief literature survey of energetic polymers based on oxetanes and oxiranes. Third and fourth parts deal with energetic plasticizers and energetic polyphosphazenes. Finally, the fifth part deals with the various characterization techniques adopted for the current study and sixth part includes objectives of the present work.