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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.
Progress of thermodynamics has been stimulated by the findings of a variety of fields of science and technology. The principles of thermodynamics are so general that the application is widespread to such fields as solid state physics, chemistry, biology, astronomical science, materials science, and chemical engineering. The contents of this book should be of help to many scientists and engineers.
Various experimental techniques have been advanced in recent years to measure non-equilibrium energy transformations on the microscopic scale of single molecules. In general, the systems studied in the corresponding experiments are exposed to strong thermal fluctuations and thus the relevant energetic variables such as work and heat become stochastic. This thesis addresses challenging theoretical problems in this active field of current research: 1) Exact analytical solutions of work and heat distributions for isothermal non-equilibrium processes in suitable models are obtained; 2) Corresponding solutions for cyclic processes involving two different heat reservoirs are found; 3) Optimization of periodic driving protocols for such cyclic processes with respect to maximal output power, efficiency and minimal power fluctuations is studied. The exact solutions for work and heat distributions provide a reference for theoretical investigations of more complicated models, giving insight into the structure of the tail of work distributions and serving as valuable test cases for simulations of the underlying stochastic processes.
A Compilation of the Problems, Judges' Briefs, Rules andleading written Memorials which comprise the Philip C.Jessup International Law Moot Court Competition.To be issued annually.
A visionary book for our wild times. Scott Ludlam draws on his experience as a senator and activist to capture our world on a precipice and explore what comes next. One way or another, we are headed for radical change. We are now in the Anthropocene – humans are changing the earth’s climate irreversibly, and political, human and natural systems are on the cusp of collapse. Ludlam shines a light on the bankruptcy of the financial and political systems that have led us here: systems based on the exploitation of the earth’s resources, and 99 per cent of the world’s population labouring for the wealth of 1 per cent. In Full Circle, Ludlam seeks old and new ways to make our systems humane...
Molten salts have been used for many years in a large number of industrial applications, and interest in them has increased mark edly in the present century. There is a vast amount of experi mental data published on molten salt systems, and much of this is due to Russian workers. In 1961 the Russian Academy of Sciences published a manual dealing with work in the period 1886-1955. These were updated in 1979 with the publication of a 3-volume collection of binary phase diagrams. The present volume is a translation of the Russian books but is restricted to the systems involving halides. In order to keep the length of the book within bounds the data have been recast. The Russian work treats each...