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Books in Probabilistic mechanics

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    • Fluctuation Phenomena

      • 1st Edition
      • December 2, 2012
      • E Montroll
      • English
      • Paperback
        9 7 8 0 4 4 4 5 6 9 9 8 1
      • eBook
        9 7 8 0 4 4 4 6 0 1 5 6 8
      Studies in Statistical Mechanics, Volume VII: Fluctuation Phenomena Fluctuation explores different aspects of fluctuation behavior and their relation to microscopic processes and other phenomena, including the nucleation of a new phase following the quenching of a system into the coexistence region. It looks at phenomenological fluctuation theories, stochastic processes such as Markoff and momentless processes, and stochastic geometric aspects of amorphous solids. Comprised of five chapters, this volume begins with an overview of fluctuations and the Ehrenfest dog-flea model. It then turns to a discussion of density fluctuations in dilute gases, the Langevin theory of Brownian motion, and classical diffusion and random walks. It also systematically introduces the reader to the statistical mechanical theory of the kinetics of phase transitions, the molecular theory of metastability, and multidimensional continuous time random walks, along with the effect of boundaries and defects onf stochastic processes. In addition, it describes the phenomenological theory of the kinetics of nucleation and its application to nucleation, spinodal decomposition, and condensation. Other chapters focus on a stochastic model for the kinetics of phase transitions, the physical ideas used in theories of metastability, and the importance of dynamics in the study of metastability. The book explains how to estimate the escape rate and describes the statistical mechanics of clusters before concluding with a discussion of slowly-varying ensembles. This book is a valuable resource for students, physicists, and researchers who want to gain more knowledge and learn about statistical mechanics in general and fluctuation phenomena in particular.

    • Advances in Applied Mechanics

      • 1st Edition
      • Volume 44
      • September 27, 2010
      • English
      • Hardback
        9 7 8 0 1 2 3 8 0 8 7 8 3
      • eBook
        9 7 8 0 1 2 3 8 0 8 7 9 0
      The Advances in Applied Mechanics book series draws together recent significant advances in various topics in applied mechanics. Published since 1948, Advances in Applied Mechanics aims to provide authoritative review articles on topics in the mechanical sciences, primarily of interest to scientists and engineers working in the various branches of mechanics. This content is also relevant to the many who use the results of investigations in mechanics in various application areas, such as aerospace, chemical, civil, environmental, mechanical and nuclear engineering.

    • Statistical Mechanics

      • 1st Edition
      • April 19, 1990
      • R. Kubo + 3 more
      • English
      • Paperback
        9 7 8 0 4 4 4 8 7 1 0 3 9
      • eBook
        9 7 8 0 0 8 0 5 7 1 0 2 7
      Statistical Mechanics provides a series of concise lectures on the fundamental theories of statistical mechanics, carefully chosen examples and a number of problems with complete solutions. Modern physics has opened the way for a thorough examination of infra-structure of nature and understanding of the properties of matter from an atomistic point of view. Statistical mechanics is an essential bridge between the laws of nature on a microscopic scale and the macroscopic behaviour of matter. A good training in statistical mechanics thus provides a basis for modern physics and is indispensable to any student in physics, chemistry, biophysics and engineering sciences who wishes to work in these rapidly developing scientific and technological fields. The collection of examples and problems is comprehensive. The problems are grouped in order of increasing difficulty.