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Transport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photons, and Biological Systems

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Transport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photons, and Biological Systems Cover

 

Synopses & Reviews

Publisher Comments:

The study of kinetic equations related to gases, semiconductors, photons, traffic flow, and other systems has developed rapidly in recent years because of its role as a mathematical tool in many applications in areas such as engineering, meteorology, biology, chemistry, materials science, nanotechnology, and pharmacy. Written by leading specialists in their respective fields, this book presents an overview of recent developments in the field of mathematical kinetic theory with a focus on modeling complex systems, emphasizing both mathematical properties and their physical meaning. The overall presentation covers not only modeling aspects and qualitative analysis of mathematical problems, but also inverse problems, which lead to a detailed assessment of models in connection with their applications, and to computational problems, which lead to an effective link of models to the analysis of real-world systems. The book is divided into three parts: Part I presents fundamental aspects of the Boltzmann equation; Part II deals with the modeling of semiconductor devices as well as related applications and computational topics; Part III covers a variety of applications in physics and the natural sciences, offering a range of very different conceivable developments of mathematical kinetic theory. Transport Phenomena and Kinetic Theory is an excellent self-study reference for graduate students, researchers, and practitioners working in pure and applied mathematics, mathematical physics, and engineering. The work may be used in courses or seminars on selected topics in transport phenomena or applications of the Boltzmann equation.

Synopsis:

The study of kinetic equations  related to  gases, semiconductors, photons, and other systems has developed rapidly in recent years because of its role as a mathematical tool in many applications in areas such as engineering, meteorology, biology, chemistry, materials science, and pharmacy. Written by leading specialists in their respective fields, this book presents various examples of these applications, with an emphasis on both mathematical properties and their physical meaning.

Specific topics covered include:

* Multiband transport models for semiconductor devices

* Optimal design techniques for semiconductor devices

* Inverse problems for transport equations, including photon transport

* Interface dynamics of kinetic systems

* Methods and tools for modeling complex biological systems

* Analysis of boundary conditions for simulating semiconductor devices via the BoltzmannPoisson system of DSMC

 

Transport Phenomena and Kinetic Theory is an excellent self-study reference for graduate students, researchers, and professionals working in pure and applied mathematics, mathematical physics, and engineering. It may also be used in a course or seminar on selected topics in transport phenomena or applications of the Boltzmann equation to many-particle transport.

Table of Contents

Rigorous results for conservation equations and trend to equilibrium in space-inhomogeneous kinetic theory / Carlo Cercignani — Results on optimal rate of convergence to equilibrium for spatially homogeneous Maxwellian gases / Ester Gabetta — Nonresonant velocity averaging and the Vlasov-Maxwell system / Franois Golse — Multiband quantum transport models for semiconductor devices / Luigi Barletti, Lucio Demeio, Giovanni Frosali — Optimization models for semiconductor dopant profiling / Martin Burger, Michael Hinze, Rene Pinnau — Inverse problems for semiconductors: models and methods / A. Leito, P.A. Markowich, J.P. Zubelli — Deterministic kinetic solvers for charged particle transport in semiconductor devices / M.J. C

Product Details

ISBN:
9780817645540
Subtitle:
Applications to Gases, Semiconductors, Photons, and Biological Systems
Publisher:
Birkhäuser
Edited by:
Carlo Cercignani
Author:
Carlo Cercignani
Author:
Cercignani, Carlo
Author:
Ester Gabetta
Author:
Gabetta, Ester
Subject:
Engineering - Mechanical
Subject:
Chemistry - General
Subject:
Applied
Subject:
Transport theory
Subject:
Mechanical
Subject:
Mechanical Engineering-General
Subject:
Physics-Classical Mechanics
Subject:
Thermodynamics
Subject:
Boltzmann equation
Subject:
Bose-Einstein condensates
Subject:
Maxwellian gases
Subject:
Vlasov "Maxwell system
Subject:
charged particle transport
Subject:
complex biological systems
Subject:
conservation equation
Subject:
multiband quantum transport models
Subject:
Photon transport theory.
Subject:
Engineering Thermodynamics, Heat and Mass Transfer
Subject:
Mathematical Modeling and Industrial Mathematics
Subject:
Engineering Fluid Dynamics
Subject:
Classical Continuum Physics
Subject:
APPLICATIONS OF MATHEMATICS
Subject:
Math. Applications in Chemistry
Subject:
main_subject
Subject:
all_subjects
Publication Date:
2007
Binding:
ELECTRONIC
Language:
English
Pages:
271

Related Subjects

Engineering » Mechanical Engineering » General
Science and Mathematics » Chemistry » General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Physics » Classical Mechanics
Science and Mathematics » Physics » Fluid Mechanics
Science and Mathematics » Physics » General
Science and Mathematics » Physics » Math
Science and Mathematics » Physics » Thermodynamics

Transport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photons, and Biological Systems
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Product details 271 pages Birkhäuser Boston - English 9780817645540 Reviews:
"Synopsis" by , The study of kinetic equations  related to  gases, semiconductors, photons, and other systems has developed rapidly in recent years because of its role as a mathematical tool in many applications in areas such as engineering, meteorology, biology, chemistry, materials science, and pharmacy. Written by leading specialists in their respective fields, this book presents various examples of these applications, with an emphasis on both mathematical properties and their physical meaning.

Specific topics covered include:

* Multiband transport models for semiconductor devices

* Optimal design techniques for semiconductor devices

* Inverse problems for transport equations, including photon transport

* Interface dynamics of kinetic systems

* Methods and tools for modeling complex biological systems

* Analysis of boundary conditions for simulating semiconductor devices via the BoltzmannPoisson system of DSMC

 

Transport Phenomena and Kinetic Theory is an excellent self-study reference for graduate students, researchers, and professionals working in pure and applied mathematics, mathematical physics, and engineering. It may also be used in a course or seminar on selected topics in transport phenomena or applications of the Boltzmann equation to many-particle transport.

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