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Microbial biotechnology. --- Biomolecules. --- Biological molecules --- Molecules --- Molecular biology --- Microorganisms --- Biotechnology --- Industrial microbiology --- Biotechnological microorganisms

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This thesis both broadens and deepens our understanding of the Brownian world. It addresses new problems in diffusion theory that have recently attracted considerable attention, both from the side of nanotechnology and from the viewpoint of pure academic research. The author focusses on the difussion of interacting particles in restricted geometries and under externally controlled forces. These geometries serve, for example, to model ion transport through narrow channels in cell membranes or a Brownian particle diffusing in an optical trap, now a paradigm for both theory and experiment. The work is exceptional in obtaining explicit analytically formulated answers to such realistic, experimentally relevant questions. At the same time, with its detailed exposition of the problems and a complete set of references, it presents a clear and broadly accessible introduction to the domain. Many of the problem settings and the corresponding exact asymptotic laws are completely new in diffusion theory.

Atomic Physics --- Physics --- Physical Sciences & Mathematics --- Nonequilibrium statistical mechanics. --- Stochastic processes. --- Biomolecules. --- Biological molecules --- Random processes --- Non-equilibrium statistical mechanics --- Molecules --- Molecular biology --- Probabilities --- Statistical mechanics --- Chemistry, Physical organic. --- Statistical physics. --- Complex Systems. --- Soft and Granular Matter, Complex Fluids and Microfluidics. --- Physical Chemistry. --- Nanoscale Science and Technology. --- Theoretical, Mathematical and Computational Physics. --- Statistical Physics and Dynamical Systems. --- Mathematical statistics --- Chemistry, Physical organic --- Chemistry, Organic --- Chemistry, Physical and theoretical --- Statistical methods --- Dynamical systems. --- Amorphous substances. --- Complex fluids. --- Physical chemistry. --- Nanoscale science. --- Nanoscience. --- Nanostructures. --- Mathematical physics. --- Physical mathematics --- Nanoscience --- Nano science --- Nanoscale science --- Nanosciences --- Science --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Chemistry --- Complex liquids --- Fluids, Complex --- Amorphous substances --- Liquids --- Soft condensed matter --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics