Fractional Dynamics in Comb-like Structures

Nonfiction, Science & Nature, Mathematics, Probability, Science, Physics, Mathematical Physics, Statistics
Cover of the book Fractional Dynamics in Comb-like Structures by Alexander Iomin, Vicenç Méndez, Werner Horsthemke, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Alexander Iomin, Vicenç Méndez, Werner Horsthemke ISBN: 9789813273450
Publisher: World Scientific Publishing Company Publication: August 24, 2018
Imprint: WSPC Language: English
Author: Alexander Iomin, Vicenç Méndez, Werner Horsthemke
ISBN: 9789813273450
Publisher: World Scientific Publishing Company
Publication: August 24, 2018
Imprint: WSPC
Language: English

Random walks often provide the underlying mesoscopic mechanism for transport phenomena in physics, chemistry and biology. In particular, anomalous transport in branched structures has attracted considerable attention. Combs are simple caricatures of various types of natural branched structures that belong to the category of loopless graphs. The comb model was introduced to understand anomalous transport in percolation clusters. Comb-like models have been widely adopted to describe kinetic processes in various experimental applications in medical physics and biophysics, chemistry of polymers, semiconductors, and many other interdisciplinary applications.

The authors present a random walk description of the transport in specific comb geometries, ranging from simple random walks on comb structures, which provide a geometrical explanation of anomalous diffusion, to more complex types of random walks, such as non-Markovian continuous-time random walks. The simplicity of comb models allows to perform a rigorous analysis and to obtain exact analytical results for various types of random walks and reaction-transport processes.

Sample Chapter(s)
Chapter 1: A brief history and overview of methods

Contents:

  • Introduction to Methods and Techniques:

    • A Brief History and Overview of Methods
    • Fractional Calculus and Special Functions
    • Markov Processes
  • Random Walks on Combs:

    • Mesoscopic Description of Random Walks on Combs: CTRW
    • Langevin Formalism
    • Inhomogeneous Advection and Superdiffusion
    • Ultra-slow Diffusion in 3D Cylindrical Comb
  • Reaction-Transport Processes in Combs:

    • Front Propagation: Spiny Dendrites
    • Front Propagation: Actin Polymerization in a Comb Micrograph
  • Extensions of the Comb Model:

    • Lévy Processes on a Generalized Fractal Comb
    • Quantum Comb Model
    • Path Integral Description of Combs

Readership: Students and researchers in the area of random walks on comb-like structures.
Key Features:

  • Unique focus on comb models
  • Accessible presentation of the elements, methods, and techniques of random processes, random walks, and their application in comb models
  • Quantum mechanics of comb models
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Random walks often provide the underlying mesoscopic mechanism for transport phenomena in physics, chemistry and biology. In particular, anomalous transport in branched structures has attracted considerable attention. Combs are simple caricatures of various types of natural branched structures that belong to the category of loopless graphs. The comb model was introduced to understand anomalous transport in percolation clusters. Comb-like models have been widely adopted to describe kinetic processes in various experimental applications in medical physics and biophysics, chemistry of polymers, semiconductors, and many other interdisciplinary applications.

The authors present a random walk description of the transport in specific comb geometries, ranging from simple random walks on comb structures, which provide a geometrical explanation of anomalous diffusion, to more complex types of random walks, such as non-Markovian continuous-time random walks. The simplicity of comb models allows to perform a rigorous analysis and to obtain exact analytical results for various types of random walks and reaction-transport processes.

Sample Chapter(s)
Chapter 1: A brief history and overview of methods

Contents:

Readership: Students and researchers in the area of random walks on comb-like structures.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Klein's Last Quarterly Econometric Model of the United States by Alexander Iomin, Vicenç Méndez, Werner Horsthemke
Cover of the book Particle Methods for Multi-Scale and Multi-Physics by Alexander Iomin, Vicenç Méndez, Werner Horsthemke
Cover of the book Multi-Stakeholder Decision Making for Complex Problems by Alexander Iomin, Vicenç Méndez, Werner Horsthemke
Cover of the book New Perspectives on Einstein's E = mc² by Alexander Iomin, Vicenç Méndez, Werner Horsthemke
Cover of the book Transport in Multilayered Nanostructures by Alexander Iomin, Vicenç Méndez, Werner Horsthemke
Cover of the book Molecular Vibrations by Alexander Iomin, Vicenç Méndez, Werner Horsthemke
Cover of the book Essential Computing Skills for Biologists by Alexander Iomin, Vicenç Méndez, Werner Horsthemke
Cover of the book Mathematics of Planet Earth by Alexander Iomin, Vicenç Méndez, Werner Horsthemke
Cover of the book Politics, Culture and Identities in East Asia by Alexander Iomin, Vicenç Méndez, Werner Horsthemke
Cover of the book Lim Chong Yah: An Autobiography by Alexander Iomin, Vicenç Méndez, Werner Horsthemke
Cover of the book California Cures! by Alexander Iomin, Vicenç Méndez, Werner Horsthemke
Cover of the book Microeconomics with Spreadsheets by Alexander Iomin, Vicenç Méndez, Werner Horsthemke
Cover of the book Beyond Peaceful Coexistence by Alexander Iomin, Vicenç Méndez, Werner Horsthemke
Cover of the book Physics, Chemistry and Applications of Nanostructures by Alexander Iomin, Vicenç Méndez, Werner Horsthemke
Cover of the book Quantum Information and Quantum Computing by Alexander Iomin, Vicenç Méndez, Werner Horsthemke
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy