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Theoretical Studies of Simple Polar Fluids

Popular Abstract in Swedish Att vatten är en otroligt viktig vätska för allt liv på jorden känner de flesta till; exempelvis består över hälften av människokroppen av vatten, och 70 procent av jordens yta är täckt av det. Att just denna till synes enkla kemikalie, vars molekyler består av två väteatomer och en syreatom, har en sådan unik betydelse är ingen slump, utan beror på att vatten har en raFluids composed of dipolar molecules are ubiquitous in nature, with water being the most prominent example. Due to their great importance and large complexity, a basic scientific understanding of the structure and thermodynamics of polar fluids is essential. In this thesis, simple polar model fluids are investigated with the aim of adding a bit to this understanding. In particular, the topics addr

Local maxima of Gaussian fields

The structure of a stationary Gaussian process near a local maximum with a prescribed heightu has been explored in several papers by the present author, see [5]–[7], which include results for moderateu as well as foru→±∞. In this paper we generalize these results to a homogeneous Gaussian field {ξ(t) t ∈ R n}, with mean zero and the covariance functionr(t). The local structure of a Gaussian field