The presence of a moderately strong magnetic field, uniform and static, in the irradiated medium modifies the spatial distribution of events. The imposition of a magnetic field produces elecron helices, characterised by their radii and pitches. The differential and integral distribution of track lengths, corresponding to electrons slowing down in water in a magnetic field, have been computed as function of radii and pitches for 200 kVp X-rays and for ⁶⁰ Co gamma-rays. Theoretical work has shown that the probability of energy deposition in a smaller volume of the absorbing medium has been significantly increased as a result of the presence of a magnetic field during photon irradiation. The distributions of track lengths as function of electron radii and pitches have been studied in strong magnetic fields (1 - 20 Tesla). The trajectories of an electron moving in water for different emission angles (up to π/2) and for magnetic fields of 5 and 10 Tesla, have been computed. The data for stopping powers used in this study, cover electron energies of 30 eV to 1200 keV (initial energy). In the presence of a magnetic field, each electron spiral has enclosed a conical volume. As the magnetic field increases, so the volume enclosed by the spiral decrease resulting in a substantial increase in the number of hits (events) compared with events in the same volume in the absence of a magnetic field. The experimental work started with the study of the characteristics of a spherical walled proportional counter. The frequency density, y.f(y), energy probability density, y^2f(y), distributions and their averages overline Y_F and overline Y_D respectively, have been computed on the basis of the pulse height distribution of low-LET radiation. Gamma rays from ¹³⁷Cs and ⁶⁰Co have been used with and without a magnetic field. Transverse magnetic fields of 0.0304, 0.13, 0.24 and 0.34 Tesla as well as a longitudinal magnetic field of 0.0304 Tesla have been used in microdosimetric measurements. An average sphere diameter of 2 μm has been simulated for the purpose. In the presence of the transverse magnetic fields, an increase of up to ~ 45% and ~ 78% has been obtained in the values of overline Y_F and overline Y_D respectively for ^137Cs gamma rays. For ^60Co gamma rays the values of both overline Y_F and overline Y_D increase by up to about 97%. For the longitudinal magnetic field when compared with the corresponding transversal magnetic field, a substantial increase in the value of overline Y_F has been found for ^137Cs gamma rays and a less significant increase for ^60Co gamma rays. Also, a significant increase in overline Y_D has been obtained for both indirectly ionizing radiations.

No description available.

There is no abstract available for this thesis.

Graduate / 0607

Graduate / 0607

This work is concerned with the large class of nonlinear scalar field theories known as σ-models, and in particular with their classical solutions. It is shown how the σ-models can admit solitons in (2+1) dimensions; and how, in many cases, these solitons can be classified topologically. For the Kähler c-models, the instanton (i.e. static soliton) solutions are derived explicitly via the Bogomolny equations. The main part of the thesis looks at the behaviour of solitons under the influence of small perturbations, and at their (classical) interactions. Attention is confined to the O(3) a-model and its close relatives. A recurring theme is the ability of solitons to change in size as they evolve, a feature which is attributed to the conformal invariance of the theory. There seem to be three possible approaches. In some special cases, the theory is integrable, in the sense that one can write down explicit time-dependent solutions. More often, one must resort to a numerical simulation, or else some sort of approximation. For theories that possess a topological lower bound on the energy, there is a useful approximation in which the kinetic energy is assumed to remain small. All three of these approaches are used at various stages of the thesis. Chapter IIIdeals with the properties of wave-like solitons in an integrable theory, and reveals some hitherto unseen behaviour. Chapters IV and V develop a numerical simulation based on topological arguments, which is then used in a study of soliton stability in the pure O(3) model. The conclusion is that the solitons are unstable to small perturbations, in the sense that their size is subject to large changes, even though their energy remains roughly constant. Chapter VI uses the slow-motion approximation to investigate soliton interactions in the O(3) model, and uncovers a plethora of possibilities. Finally, some suggestions are made regarding possible directions for future research. In particular, attention is focussed on ways of modifying the O(3) model in an attemptto stabilize its solitons against changes in size

This thesis is concerned with the possible sums of perturbation series in mass- less, renormalizable field theories. It shows that, given a free choice of scheme, the limit of the sequence of approximants is arbitrary. Restricting the choice to finite schemes, in particular "zero schemes", yields a perturbatively unique limit to the sequence of approximants. An operational method for calculating perturbative expansions in the class of zero schemes is discussed. A comparison of various optimization schemes is given for a few phenomenological examples in QCD and QED.

No description available.

An innovative research study was established at IGER, North Wyke, Devon, to investigate preferential flow through a poorly structured relatively impermeable soil. Macropore channels were added by a mole plough in order to investigate soil water pathways and chemical transport in a soil in which preferential flow was guaranteed. The investigation focused on water and solute movement through specific flowpaths, namely macropores and mesopores, and the interaction between mobile and immobile zones within the soil. Two large soil blocks (1 m2 by 0.85 m) of the Hallsworth series were removed from the field and placed on sand tables so that a suction could be induced at the base of the soil block. The edge was sealed using paraffin wax. Eight tensiometers and suction cup lysimeters were installed in each block together with fifteen pairs of time-domain reflectometry wave guides. A regular spacing pattern was employed so that spatial variations could be easily identified. Samples were collected from suction cup lysimeters every 4 hours. Soil water status was observed from the TDR probes daily and from tensiometers every 10 minutes. Five tracer experiments were conducted; three involved the miscible displacement of chloride at concentrations of 100 and 250 mg I"' and two used nitrate (500 mg l ') and chloride (2500 mg 1') applied as a pulse. Tracer and irrigation water was applied through a misting system at an irrigation rate of 2.76 mm h-1. Three techniques were used to examine soil structure in the macropore and mesopore pore size range to investigate potential flowpaths in more detail. The profile tracing method (PTM). binary transect method (BTM) and resinated core section method (RCSM) provided useful quantitative structural information. Soil water status averaged over a large sampling volume (TDR, 1540000 mm3) was considered to be stable through time. Detailed observations of soil water suction using tensiometers showed that soil water conditions remained unsaturated, at approximately 10 to 20 cm H2O, and varied by 3 cm H2O throughout the experiment. Suction varied depending on the location of each tensiometer with respect to position within or between aggregates. Results based on Poiseuille's law and suction data showed that the flowpaths were predominantly mesopores. This result was supported by breakthrough curve analysis for the bulk of the soil although macropore flow was observed towards the mole drain. Flow rates observed from tracer movement varied throughout the soil regardless of depth. Chloride moved quickly towards the mole drain and the arrival of tracer was recorded within 4 hours. Time to breakthrough monitored at the suction cups varied from 4 to 76 hours. When the concentration gradient between applied solute and antecedent solute was large, reduced time to attain peak concentration was noted. As the concentration gradient reduced, speed of rise to peak concentration increased. An advection-dispersion model (CLEARY) fitted change in observed solute concentration through time at the suction cup lysimeters well. The study concluded that although water moved rapidly through the soil, the tortuous nature and increased contact with soil particles encountered as water moved through the mesopores resulted in water with matrix flow solute characteristics.

No description available.