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Statistical mechanics and random walks : principles, processes, and applications / Abram Skogseid and Vicente Fasano, editors.
- Format:
- Book
- Series:
- Mathematics research developments series.
- Physics research and technology.
- Mathematics Research Developments
- Physics Research and Technology
- Language:
- English
- Subjects (All):
- Statistical mechanics.
- Random walks (Mathematics).
- Science--Mathematics.
- Science.
- Engineering mathematics.
- Physical Description:
- 1 online resource (669 p.)
- Place of Publication:
- New York : Nova Science Publishers, c2012.
- Language Note:
- English
- Summary:
- In this book, the authors gather and present topical research in the study of statistical mechanics and random walk principles and applications. Topics discussed in this compilation include the application of stochastic approaches to modelling suspension flow in porous media; subordinated Gaussian processes; random walk models in biophysical science; non-equilibrium dynamics and diffusion processes; global random walk algorithm for diffusion processes and application of random walks for the analysis of graphs, musical composition and language phylogeny.
- Contents:
- ""STATISTICAL MECHANICSAND RANDOM WALKSPRINCIPLES, PROCESSES AND APPLICATIONS""; ""MATHEMATICS RESEARCH DEVELOPMENTS""; ""PHYSICS RESEARCH AND TECHNOLOGY""; ""STATISTICAL MECHANICSAND RANDOM WALKSPRINCIPLES, PROCESSES AND APPLICATIONS""; ""Library of Congress Cataloging-in-Publication Data""; ""CONTENTS""; ""PREFACE""; ""CHAPTER 1. APPLICATION OF STOCHASTIC APPROACHESTO MODELING SUSPENSION FLOWIN POROUS MEDIA""; ""Abstract""; ""1. Introduction""; ""2. Population Balance Approach""; ""2.1. Constituting Equations""; ""2.1.1. Particle Flow Characteristics""; ""2.1.2. Particle Flow Kinetics""
- ""2.1.3. Particle Capture Kinetics""""2.1.4. Pore Plugging Kinetics""; ""2.1.5. Resulting System of Equations""; ""2.2. Averaging the System""; ""2.2.1. The Monodisperse Case""; ""2.2.2. The Polydisperse Case""; ""2.2.3. Discussion""; ""3. CTRW Approach""; ""3.1. Introduction""; ""3.2. Basic Relations""; ""3.3. Laplace Transform""; ""3.4. Extension onto Filtration""; ""3.5. Solution of the Equations""; ""3.6. Verification with Experiments""; ""4. The Elliptic Equation Approach""; ""4.1. Monodisperse Systems""; ""4.2. Polydisperse Systems""; ""4.2.1. Introduction. Dilute Suspensions""
- ""4.2.2. Particle Flow Characteristics""""4.2.3. Basic Equations""; ""4.3. Upscaling""; ""4.4. Solution""; ""4.5. Experimental Verification""; ""References""; ""CHAPTER 2. UNUSUAL BROWNIAN MOTION""; ""Abstract""; ""Introduction""; ""Some Remarks on the History of the Brownian Motion""; ""Standard Langevin Equation""; ""Brownian Motion with Hydrodynamic Memory""; ""Solution of the Hydrodynamic Langevin Equation""; ""Generalized Langevin Equation""; ""Inclusion of External Forces""; ""Charged Brownian Particles in the Magnetic Field:The Standard Approach""
- ""CHAPTER 5. RANDOM WALK MODELS IN BIOPHYSICALSCIENCES: PARTICLE TRANSPORT IN THE HUMANRESPIRATORY TRACT""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references at the end of each chapters and index.
- Description based on online resource; title from title page (ebrary, viewed June 10, 2013).
- ISBN:
- 1-61470-987-4
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