Brownian motion : theory, modelling and applications

著者

    • Earnshaw, Robert C.
    • Riley, Elizabeth M.

書誌事項

Brownian motion : theory, modelling and applications

Robert C. Earnshaw and Elizabeth M. Riley, editors

(Mathematics research developments series)

Nova Science Publishers, c2012

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

Brownian motion is the seemingly random movement of particles suspended in a fluid or the mathematical model used to describe such random movements, often called a particle theory. This book presents topical research in the study of Brownian motion, including Markov chains and Brownian motion models in insect ecology; applications of multifractional Brownian motion to internet traffic; enhanced thermal conductivity of nanofluids using the Brownian motion-based model; Brownian dynamics simulation of surfactant micellar microstructure and rheology and the development of the fractional Brownian motion and its applications on coastal dispersion modelling.

目次

  • Preface
  • White Noise Calculus, Stochastic Calculus, Coarse-Graining & Fractal Geodesic: A Unified Approach via Fractional Calculus & Maruyama's Notation
  • Applications of Markov Chains & Brownian Motion Models in Insect Ecology
  • Applications of Multifractional Brownian Motion to Internet Traffic
  • The Multidimensional Brownian Motion: Numerical Valuation of American & Bermudan Options
  • Brownian Motion-Based Model for Enhanced Thermal Conductivity of Nanofluids
  • Brownian Motion of Carbon Nanotube in a Molten Polymer & its Application
  • Brownian Dynamics Simulation of Surfactant Micellar Microstructure & Rheology
  • Development of the Fractional Brownian Motion & its Applications on Coastal Dispersion Modelling
  • Differential Games & Equilibriums of Fusion Reactors
  • Thermophoresis & Brownian Diffusion of Nanoparticles in a Nonisothermal Gas Flow
  • On the Joint Distribution of Quadratic Functionals of Brownian Motion
  • Two Extensions of Fractional Brownian Motion: Application to Trabecular Bone Radiographs.

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