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Josiah Cleland

School of Fundamental Sciences
College of Sciences


Thesis Title
Theoretical Investigation into Long Timescale Anomalous Diffusion in Complex Viscoelastic Systems

Research Description
One of the primary objectives of this research is to produce a mathematical framework of which can be used to describe certain long time scale dynamics observed in polymer gels. The description of the dynamics will be through the identification of the probability density function (PDF) of a probe particles position within the extended network. The PDF will likely emerge from the framework through the extraction of differential equations governing the temporal evolution of the PDF. These equations will potentially incorporate fractional order differential operators, their presence allowing for the inclusion of memory-based contributions to the dynamics. Previous work within the group has experimentally determined the mean squared displacement of probe particles within certain polymer networks, thus it is also the intention to compare the theoretical prediction of the aforementioned method to the experimentally observed values.

Personal Description
I was born and raised in the Manawatu region, completing undergraduate studies and continuing on to postgraduate studies at Massey University. I have a passion for physics and hope to continue to be involved in research in the future, ultimately I would like to transition into a position of academic research. However, immediately after the completion of my PhD, I hope to obtain a postdoctoral research position within New Zealand and within the umbrella of physics (theoretical) research.

Professor Bill Williams
Associate Professor Mark Waterland

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