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.

Child labour in India

This thesis entitled “Child labour in india”Children are "supremely important assets" of the nation, India proudly asserts in the National Policy for Children (1974) gracefully acknowledging that they are future citizens on whose shoulders the destiny of our nation rests.Childhood is a time of discovery as the world and all it contains are new to children. It is a time of excitement and anticipation. lt is a time of dreams and fantasies. And it is a time of receiving love and appreciation. Paradoxically, a picture of contrast is a common experience in India as a vast majority of children who are starved of basic needs of nutrition, health and education are made to work at an early age in exploitative conditions. The specter of child labour is a glaring anomaly in a country graciously adorning human right. In an exposition of the problem involving human rights abuse, Chapters from Two to Five of this study have shot into focus the human rights jurisprudence with special reference to the rights of children. Children have a particular identity as children and they also have a universal identity as human beings.The concern for mankind expressed unequivocally and transcending the globe will be real and moving and not mere rhetoric and ritual if and only when it begins with children, as, to quote the words of Nehru, the human being counts much more as a child than as a grown up.The first three of these rights namely right to health, right to nutritive food and right to education are dealt with in Chapter Four. Finally, the positive effects of education have been sketched in that chapter to impress upon its significance in the development of human capitals.legitimization. The theme of legitimacy was rationalised on the ground of poverty as a strategy for achieving eradication of child labour ultimately by enforcing minimum wages, shorter working hours, leave compensation, non-formal education etc., as the employer would soon discover that child labour is not cheap and would be obliged to substitute adult labour. However, humanising the work life is only a promise to the detriment of children as the Act of 1986 enacted as a part of the new strategy is nearingcompletion of a decade of existence but nowhere near the fulfilment of the mission.As similar urge is more necessary and overdue, it has been suggested that a special body be established with all powers for cognisance of human rights abuse of children.It is proposed to conclude this study with a brief summary of the inferences drawn from the foregoing chapters along with a few suggestions emerging out of those inferences

Growth response of phytoplankton exposed to industrial effluents in river Periyar

The thesis entitled Growth Response of Phytoplankton Exposed to Industrial Effluents in River Periyar. The present investigation has been conducted in two phases: field observation and algal assays. The monthly distribution of hydrographic features is represented graphically. The sampling year has been divided into three seasons: monsoon (June to September), postmonsoon (October to January) and premonsoon (February to May). The data were analysed using Student's t-test to find whether there was any significant difference between surface and bottom samples. The spatial variation of the variables was assessed by Page's L (trend) test (Ray Meddis, 1975). The standard procedure for algal toxicity test (Ward and Parrish, 1982) was followed throughout the study. Statistical analysis (Page's L (trend) test) showed that there was no significant difference in Secchi disc transparency between the stations. The field observations as well as the laboratory assays confirm that the rate of discharge in river Periyar during premonsoon is insufficient to effect dilution of wastewater received in the industrial zone.

Formation of anoxia and denitrification in the bottom waters of a tropical estuary, southwest coast of India

Hydrographic characteristics of the southwest coast of India and its adjoining Cochin backwaters (CBW) were studied during the summer monsoon period. Anomalous formation of anoxia and denitrification were observed in the bottom layers of CBW, which 5 have not been previously reported elsewhere in any tropical estuarine systems. The prevalent upwelling in the Arabian Sea (AS) brought cool, high saline, oxygen deficient and nutrient-rich waters towards the coastal zone and bottom layers of CBW during the high tide. High freshwater discharge in the surface layers brought high amount of nutrients and makes the CBW system highly productive. Intrusion of AS waters seems 10 to be stronger towards the upstream end ( 15 km), than had been previously reported, as a consequence of the lowering of river discharges and deepening of channels in the estuary. Time series measurements in the lower reaches of CBW indicated a low mixing zone with increased stratification, 3 h after the high tide (highest high tide) and high variation in vertical mixing during the spring and neap phases. The upwelled waters 15 (O2 40 μM) intruded into the estuary was found to lose more oxygen during the neap phase (suboxic O2 4 μM) than spring phase (hypoxic O2 10 μM). Increased stratification coupled with low ventilation and presence of high organic matter have resulted in an anoxic condition (O2 = 0), 2–6 km away from barmouth of the estuary and leads to the formation of hydrogen sulphide. The reduction of nitrate and formation of nitrite 20 within the oxygen deficient waters indicated strong denitrification intensity in the estuary. The expansion of oxygen deficient zone, denitrification and formation of hydrogen sulphide may lead to a destruction of biodiversity and an increase of green house gas emissions from this region