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Dynamics on scale-invariant structuresChristou, Alexis January 1987 (has links)
We investigate dynamical processes on random and regular fractals. The (static) problem of percolation in the semi-infinite plane introduces many pertinent ideas including real space renormalisation group (RSRG) fugacity transformations and scaling forms. We study the percolation probability to determine the surface critical behaviour and to establish exponent relations. The fugacity approach is generalised to study random walks on diffusion-limited aggregates (DLA). Using regular and random models, we calculate the walk dimensionality and demonstrate that it is consistent with a conjecture by Aharony and Stauffer. It is shown that the kinetically grown DLA is in a distinct dynamic universality class to lattice animals. Similarly, the speculation of Helman-Coniglio-Tsallis regarding diffusion on self-avoiding walks (SAWs) is shown to be incorrect. The results are corroborated by an exact enumeration analysis of the internal structure of SAWs. A 'spin' and field theoretic Hamiltonian formulation for the conformational and resistance properties of random walks is presented. We consider Gaussian random walks, SAWs, spiral SAWs and valence walks. We express resistive susceptibilities as correlation functions and hence e-expansions are calculated for the resistance exponents. For SAWs, the local crosslinks are shown to be irrelevant and we calculate corrections to scaling. A scaling description is introduced into an equation-of-motion method in order to study spin wave damping in d-dimensional isotropic Heisenberg ferro-, antiferro- and ferri- magnets near pc . Dynamic scaling is shown to be obeyed by the Lorentzian spin wave response function and lifetime. The ensemble of finite clusters and multicritical behaviour is also treated. In contrast, the relaxational dynamics of the dilute Anisotropic Heisenberg model is shown to violate conventional dynamic scaling near the percolation bicritical point but satisfies instead a singular scaling behaviour arising from activation of Bloch walls over percolation cluster energy barriers.
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Quantification of anisotropic scale invariance from 2D fields for decomposition of mixing patterns /Cao, Li. January 2005 (has links)
Thesis (M.Sc.)--York University, 2005. Graduate Programme in Earth and Space Science. / Typescript. Includes bibliographical references (leaves 130-140). Also available on the Internet. MODE OF ACCESS via web browser by entering the following URL: http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss &rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:MR11761
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Phase transition behaviors of multi-component atmospheric aerosols : presence of double salts and mixed phases /Ling, Tsz Yan. January 2007 (has links)
Thesis (M.Phil.)--Hong Kong University of Science and Technology, 2007. / Includes bibliographical references. Also available in electronic version.
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Methods in percolation : a thesis submitted in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematical Physics in the University of Canterbury /Lee, Michael James. January 2008 (has links)
Thesis (Ph. D.)--University of Canterbury, 2008. / Typescript (photocopy). Includes bibliographical references (p. 119-144). Also available via the World Wide Web.
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A light scattering study of colloid-polymer mixtures /Pirie, Angus D. January 1995 (has links)
Thesis (Ph.D) --University of Edinburgh, 1995.
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Using environmental chemistry technologies for the removal of arsenic from drinking water, and fat and oil based phase change materials for thermal energy storageSutterlin, William R., January 2004 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 2004. / Typescript. Vita. Includes bibliographical references. Also available on the Internet.
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Using environmental chemistry technologies for the removal of arsenic from drinking water, and fat and oil based phase change materials for thermal energy storage /Sutterlin, William R., January 2004 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 2004. / Typescript. Vita. Includes bibliographical references. Also available on the Internet.
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Quenched Random Disorder Studies In Liquid Crystal + Aerosil DispersionsRoshi, Aleksander. January 2005 (has links)
Dissertation (Ph.D.) -- Worcester Polytechnic Institute. / Keywords: smectic-A to smectic-C; nematic to smectic-A; isotropic-nematic; phase transition; quenched random disorder; liquid crystal; gel structure; turbidity; gel dynamics; x-ray intensity fluctuation spectroscopy ( XIFS ); ac-calorimetry; x-ray diffraction Includes bibliographical references (p. 210-218).
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Monte-Carlo simulation on a 2-D random point pattern : ising model and its application to econophysics /Kong, Chi-Wah. January 2002 (has links)
Thesis (M. Phil.)--Hong Kong University of Science and Technology, 2002. / Includes bibliographical references (leaves 81-82). Also available in electronic version. Access restricted to campus users.
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Critical spin dynamics in anisotropic magnetsRaghavan, Raghu Pati, January 1976 (has links)
Thesis--Wisconsin. / Vita. Includes bibliographical references (leaves 117-121, 16-17).
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