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This volume is the second edition of the first-ever elementary book on the Langevin equation method for the solution of problems involving the Brownian motion in a potential, with emphasis on modern applications in the natural sciences, electrical engineering and so on. It has been substantially enlarged to cover in a succinct manner a number of new topics, such as anomalous diffusion, continuous time random walks, stochastic resonance etc, which are of major current interest in view of the large number of disparate physical systems exhibiting these phenomena. The book has been written in suc

Langevin equations. --- Brownian motion processes. --- Wiener processes --- Brownian movements --- Fluctuations (Physics) --- Markov processes --- Langevin's equations --- Stochastic differential equations

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This volume considers experimental and theoretical dielectric studies of the structure and dynamics of complex systems.  Complex systems constitute an almost universal class of materials including associated liquids, polymers, biomolecules, colloids, porous materials, doped ferroelectric crystals, nanomaterials, etc. These systems are characterized by a new "mesoscopic" length scale, intermediate between molecular and macroscopic. The mesoscopic structures of complex systems typically arise from fluctuations or competing interactions and exhibit a rich variety of static and dynamic behaviour. This growing field is interdisciplinary; it complements solid state and statistical physics, and overlaps considerably with chemistry, chemical engineering, materials science, and biology. A common theme in complex systems is that while such materials are disordered on the molecular scale and homogeneous on the macroscopic scale, they usually possess a certain degree of order on an intermediate, or mesoscopic, scale due to the delicate balance of interaction and thermal effects. In the present Volume it is shown how the dielectric spectroscopy studies of complex systems can be applied to determine both their structures and dynamics.

Broadband dielectric spectroscopy --- Physics --- Chemistry --- Physical Sciences & Mathematics --- Atomic Physics --- Physical & Theoretical Chemistry --- Light & Optics --- Broadband dielectric spectroscopy. --- Spectrum analysis. --- Analysis, Spectrum --- Spectra --- Spectrochemical analysis --- Spectrochemistry --- Spectroscopy --- BDS (Spectrum analysis) --- Dielectric spectroscopy, Broadband --- Physics. --- Atomic structure. --- Molecular structure. --- Spectra. --- Condensed matter. --- Atomic/Molecular Structure and Spectra. --- Condensed Matter Physics. --- Spectrum analysis --- Chemistry, Analytic --- Interferometry --- Optics --- Radiation --- Wave-motion, Theory of --- Absorption spectra --- Light --- Spectroscope --- Qualitative --- Atomic structure  . --- Molecular structure . --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Structure, Molecular --- Chemical structure --- Structural bioinformatics --- Structure, Atomic --- Atomic theory