Search for dissertations about: "critical exponent"
Showing result 1 - 5 of 15 swedish dissertations containing the words critical exponent.
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1. Critical Phenomena and Exchange Coupling in Magnetic Heterostructures
Abstract : The continuous phase transition in thin magnetic films and superlattices has been studied using the magneto-optical Kerr effect (MOKE) and polarized neutron scattering (PNR). It has been shown that the critical behavior of amorphous thin films belonging to the 2D XY universality class can be described within the same theory as crystalline sample. READ MORE
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2. Gibbs Measures and Phase Transitions in Potts and Beach Models
Abstract : The theory of Gibbs measures belongs to the borderlandbetween statistical mechanics and probability theory. In thiscontext, the physical phenomenon of phase transitioncorresponds to the mathematical concept of non-uniqueness for acertain type of probability measures.The most studied model in statistical mechanics is thecelebrated Ising model. READ MORE
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3. Numerical analysis and simulation of stochastic partial differential equations with white noise dispersion
Abstract : This doctoral thesis provides a comprehensive numerical analysis and exploration of several stochastic partial differential equations (SPDEs). More specifically, this thesis investigates time integrators for SPDEs with white noise dispersion. READ MORE
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4. Topics in Nonlinear Elliptic Differential Equations
Abstract : In this thesis we examine the existence of solutions to nonlinear elliptic partial differential equations via variational methods.In Paper I we consider the existence of constrained minimizers which correspond to solutions of equations involving the iterated Laplacian, the iterated p-Laplacian and the critical Sobolev exponent. READ MORE
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5. Active Matter in a Critical State: From passive building blocks to active molecules, engines, and active droplets
Abstract : The motion of microscopic objects is strongly affected by their surrounding environment. In quiescent liquids, motion is reduced to random fluctuations known as Brownian motion. Nevertheless, microorganisms have been able to develop mechanisms to generate active motion. READ MORE