Transport in Phonon Systems

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Author :
Publisher : North Holland
ISBN 13 :
Total Pages : 444 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Transport in Phonon Systems by : Vadim Lʹvovich Gurevich

Download or read book Transport in Phonon Systems written by Vadim Lʹvovich Gurevich and published by North Holland. This book was released on 1986 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Transport in Phonon Systems'' the principles of physical kinetics are given and the description of transport properties in a wide class of macroscopic physical systems - the phonon systems - is presented. Important problems of phonon transport such as thermal conductivity and thermal waves of second sound, dielectric losses, sound propagation and absorption, phonon echo, and phonon transport in superfluid helium II are discussed. Many of these problems are discussed for the first time and the author presents numerous original results. Not only specialists but also those wishing to enter the field of phonon physics and phonon kinetics can benefit from Transport in Phonon Systems''.

An Efficient Solution Procedure for Simulating Phonon Transport in Multiscale Multimaterial Systems

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Publisher :
ISBN 13 :
Total Pages : 284 pages
Book Rating : 4.:/5 (86 download)

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Book Synopsis An Efficient Solution Procedure for Simulating Phonon Transport in Multiscale Multimaterial Systems by : James Madigan Loy

Download or read book An Efficient Solution Procedure for Simulating Phonon Transport in Multiscale Multimaterial Systems written by James Madigan Loy and published by . This book was released on 2013 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last two decades, advanced fabrication techniques have enabled the fabrication of materials and devices at sub-micron length scales. For heat conduction, the conventional Fourier model for predicting energy transport has been shown to yield erroneous results on such length scales. In semiconductors and dielectrics, energy transport occurs through phonons, which are quanta of lattice vibrations. When phase coherence effects can be ignored, phonon transport may be modeled using the semi-classical phonon Boltzmann transport equation (BTE). The objective of this thesis is to develop an efficient computational method to solve the BTE, both for single-material and multi-material systems, where transport across heterogeneous interfaces is expected to play a critical role. The resulting solver will find application in the design of microelectronic circuits and thermoelectric devices. The primary source of computational difficulties in solving the phonon BTE lies in the scattering term, which redistributes phonon energies in wave-vector space. In its complete form, the scattering term is non-linear, and is non-zero only when energy and momentum conservation rules are satisfied. To reduce complexity, scattering interactions are often approximated by the single mode relaxation time (SMRT) approximation, which couples different phonon groups to each other through a thermal bath at the equilibrium temperature. The most common methods for solving the BTE in the SMRT approximation employ sequential solution techniques which solve for the spatial distribution of the phonon energy of each phonon group one after another. Coupling between phonons is treated explicitly and updated after all phonon groups have been solved individually. When the domain length is small compared to the phonon mean free path, corresponding to a high Knudsen number ([mathematical equation]), this sequential procedure works well. At low Knudsen number, however, this procedure suffers long convergence times because the coupling between phonon groups is very strong for an explicit treatment of coupling to suffice. In problems of practical interest, such as silicon-based microelectronics, for example, phonon groups have a very large spread in mean free paths, resulting in a combination of high and low Knudsen number; in these problems, it is virtually impossible to obtain solutions using sequential solution techniques. In this thesis, a new computational procedure for solving the non-gray phonon BTE under the SMRT approximation is developed. This procedure, called the coupled ordinates method (COMET), is shown to achieve significant solution acceleration over the sequential solution technique for a wide range of Knudsen numbers. Its success lies in treating phonon-phonon coupling implicitly through a direct solution of all equations in wave vector space at a particular spatial location. To increase coupling in the spatial domain, this procedure is embedded as a relaxation sweep in a geometric multigrid. Due to the heavy computational load at each spatial location, COMET exhibits excellent scaling on parallel platforms using domain decomposition. On serial platforms, COMET is shown to achieve accelerations of 60 times over the sequential procedure for Kn

Nanoscale Energy Transport

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Author :
Publisher : IOP Publishing Limited
ISBN 13 : 9780750317368
Total Pages : 440 pages
Book Rating : 4.3/5 (173 download)

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Book Synopsis Nanoscale Energy Transport by : LIAO

Download or read book Nanoscale Energy Transport written by LIAO and published by IOP Publishing Limited. This book was released on 2020-03-20 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together leading names in the field of nanoscale energy transport to provide a comprehensive and insightful review of this developing topic. The text covers new developments in the scientific basis and the practical relevance of nanoscale energy transport, highlighting the emerging effects at the nanoscale that qualitatively differ from those at the macroscopic scale. Throughout the book, microscopic energy carriers are discussed, including photons, electrons and magnons. State-of-the-art computational and experimental nanoscale energy transport methods are reviewed, and a broad range of materials system topics are considered, from interfaces and molecular junctions to nanostructured bulk materials. Nanoscale Energy Transport is a valuable reference for researchers in physics, materials, mechanical and electrical engineering, and it provides an excellent resource for graduate students.

Cooling and Heat Transport in Low Dimensional Phonon Systems, Superconductors and Silicon

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (921 download)

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Book Synopsis Cooling and Heat Transport in Low Dimensional Phonon Systems, Superconductors and Silicon by : Juha Muhonen

Download or read book Cooling and Heat Transport in Low Dimensional Phonon Systems, Superconductors and Silicon written by Juha Muhonen and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Energy Transport in Low Dimensional Systems

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Publisher :
ISBN 13 :
Total Pages : 223 pages
Book Rating : 4.:/5 (987 download)

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Book Synopsis Energy Transport in Low Dimensional Systems by : Anant Raj

Download or read book Energy Transport in Low Dimensional Systems written by Anant Raj and published by . This book was released on 2017 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Electrons and Phonons

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Publisher : Oxford University Press
ISBN 13 : 9780198507796
Total Pages : 572 pages
Book Rating : 4.5/5 (77 download)

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Book Synopsis Electrons and Phonons by : J.M. Ziman

Download or read book Electrons and Phonons written by J.M. Ziman and published by Oxford University Press. This book was released on 2001-02 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a classic text of its time in condensed matter physics.

Electrical Transport in Nanoscale Systems

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Publisher : Cambridge University Press
ISBN 13 : 1139475029
Total Pages : 477 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Electrical Transport in Nanoscale Systems by : Massimiliano Di Ventra

Download or read book Electrical Transport in Nanoscale Systems written by Massimiliano Di Ventra and published by Cambridge University Press. This book was released on 2008-08-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there has been a huge increase in the research and development of nanoscale science and technology. Central to the understanding of the properties of nanoscale structures is the modeling of electronic conduction through these systems. This graduate textbook provides an in-depth description of the transport phenomena relevant to systems of nanoscale dimensions. In this textbook the different theoretical approaches are critically discussed, with emphasis on their basic assumptions and approximations. The book also covers information content in the measurement of currents, the role of initial conditions in establishing a steady state, and the modern use of density-functional theory. Topics are introduced by simple physical arguments, with particular attention to the non-equilibrium statistical nature of electrical conduction, and followed by a detailed formal derivation. This textbook is ideal for graduate students in physics, chemistry, and electrical engineering.

Quantum Transport in Mesoscopic Systems

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Publisher : MDPI
ISBN 13 : 3039433660
Total Pages : 426 pages
Book Rating : 4.0/5 (394 download)

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Book Synopsis Quantum Transport in Mesoscopic Systems by : David Sánchez

Download or read book Quantum Transport in Mesoscopic Systems written by David Sánchez and published by MDPI. This book was released on 2021-01-06 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mesoscopic physics deals with systems larger than single atoms but small enough to retain their quantum properties. The possibility to create and manipulate conductors of the nanometer scale has given birth to a set of phenomena that have revolutionized physics: quantum Hall effects, persistent currents, weak localization, Coulomb blockade, etc. This Special Issue tackles the latest developments in the field. Contributors discuss time-dependent transport, quantum pumping, nanoscale heat engines and motors, molecular junctions, electron–electron correlations in confined systems, quantum thermo-electrics and current fluctuations. The works included herein represent an up-to-date account of exciting research with a broad impact in both fundamental and applied topics.

Real-Time Quantum Dynamics of Electron–Phonon Systems

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Author :
Publisher : Springer
ISBN 13 : 3319962809
Total Pages : 184 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Real-Time Quantum Dynamics of Electron–Phonon Systems by : Valerio Rizzi

Download or read book Real-Time Quantum Dynamics of Electron–Phonon Systems written by Valerio Rizzi and published by Springer. This book was released on 2018-08-01 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a methodology for the real-time coupled quantum dynamics of electrons and phonons in nanostructures, both isolated structures and those open to an environment. It then applies this technique to both fundamental and practical problems that are relevant, in particular, to nanodevice physics, laser–matter interaction, and radiation damage in living tissue. The interaction between electrons and atomic vibrations (phonons) is an example of how a process at the heart of quantum dynamics can impact our everyday lives. This is e.g. how electrical current generates heat, making your toaster work. It is also a key process behind many crucial problems down to the atomic and molecular scale, such as the functionality of nanoscale electronic devices, the relaxation of photo-excited systems, the energetics of systems under irradiation, and thermoelectric effects. Electron–phonon interactions represent a difficult many-body problem. Fairly standard techniques are available for tackling cases in which one of the two subsystems can be treated as a steady-state bath for the other, but determining the simultaneous coupled dynamics of the two poses a real challenge. This book tackles precisely this problem.

Phonon Focusing and Phonon Transport

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311067050X
Total Pages : 221 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Phonon Focusing and Phonon Transport by : Igor Gaynitdinovich Kuleyev

Download or read book Phonon Focusing and Phonon Transport written by Igor Gaynitdinovich Kuleyev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-06-08 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph is devoted to the investigation of physical processes that govern the phonon transport in bulk and nanoscale single-crystal samples of cubic symmetry. Special emphasis is given to the study of phonon focusing in cubic crystals and its influence on the boundary scattering and lattice thermal conductivity of bulk materials and nanostructures.

Length-Scale Dependent Phonon Interactions

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Publisher :
ISBN 13 : 9781461486527
Total Pages : 310 pages
Book Rating : 4.4/5 (865 download)

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Book Synopsis Length-Scale Dependent Phonon Interactions by : Subhash L. Shinde

Download or read book Length-Scale Dependent Phonon Interactions written by Subhash L. Shinde and published by . This book was released on 2013-11-30 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Methods for Enhancing and Tuning Phonon Transport at Solid-solid Interfaces

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Author :
Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.:/5 (763 download)

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Book Synopsis Methods for Enhancing and Tuning Phonon Transport at Solid-solid Interfaces by : Timothy Stephen English

Download or read book Methods for Enhancing and Tuning Phonon Transport at Solid-solid Interfaces written by Timothy Stephen English and published by . This book was released on 2011 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Thermal Transport in Low Dimensions

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Publisher : Springer
ISBN 13 : 3319292617
Total Pages : 418 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Thermal Transport in Low Dimensions by : Stefano Lepri

Download or read book Thermal Transport in Low Dimensions written by Stefano Lepri and published by Springer. This book was released on 2016-04-07 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding non-equilibrium properties of classical and quantum many-particle systems is one of the goals of contemporary statistical mechanics. Besides its own interest for the theoretical foundations of irreversible thermodynamics(e.g. of the Fourier's law of heat conduction), this topic is also relevant to develop innovative ideas for nanoscale thermal management with possible future applications to nanotechnologies and effective energetic resources. The first part of the volume (Chapters 1-6) describes the basic models, the phenomenology and the various theoretical approaches to understand heat transport in low-dimensional lattices (1D e 2D). The methods described will include equilibrium and nonequilibrium molecular dynamics simulations, hydrodynamic and kinetic approaches and the solution of stochastic models. The second part (Chapters 7-10) deals with applications to nano and microscale heat transfer, as for instance phononic transport in carbon-based nanomaterials, including the prominent case of nanotubes and graphene. Possible future developments on heat flow control and thermoelectric energy conversion will be outlined. This volume aims at being the first step for graduate students and researchers entering the field as well as a reference for the community of scientists that, from different backgrounds (theoretical physics, mathematics, material sciences and engineering), has grown in the recent years around those themes.

Full Counting Statistics of Phonon Thermal Transport for Disordered Systems

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Author :
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Full Counting Statistics of Phonon Thermal Transport for Disordered Systems by : 張超

Download or read book Full Counting Statistics of Phonon Thermal Transport for Disordered Systems written by 張超 and published by . This book was released on 2019 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Physics of Phonons

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Publisher : Routledge
ISBN 13 : 1351409557
Total Pages : 438 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis The Physics of Phonons by : Gyaneshwar P. Srivastava

Download or read book The Physics of Phonons written by Gyaneshwar P. Srivastava and published by Routledge. This book was released on 2019-07-16 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been few books devoted to the study of phonons, a major area of condensed matter physics. The Physics of Phonons is a comprehensive theoretical discussion of the most important topics, including some topics not previously presented in book form. Although primarily theoretical in approach, the author refers to experimental results wherever possible, ensuring an ideal book for both experimental and theoretical researchers. The author begins with an introduction to crystal symmetry and continues with a discussion of lattice dynamics in the harmonic approximation, including the traditional phenomenological approach and the more recent ab initio approach, detailed for the first time in this book. A discussion of anharmonicity is followed by the theory of lattice thermal conductivity, presented at a level far beyond that available in any other book. The chapter on phonon interactions is likewise more comprehensive than any similar discussion elsewhere. The sections on phonons in superlattices, impure and mixed crystals, quasicrystals, phonon spectroscopy, Kapitza resistance, and quantum evaporation also contain material appearing in book form for the first time. The book is complemented by numerous diagrams that aid understanding and is comprehensively referenced for further study. With its unprecedented wide coverage of the field, The Physics of Phonons will be indispensable to all postgraduates, advanced undergraduates, and researchers working on condensed matter physics.

Electronic Transport in Mesoscopic Systems

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Publisher : Cambridge University Press
ISBN 13 : 1139643010
Total Pages : 398 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Electronic Transport in Mesoscopic Systems by : Supriyo Datta

Download or read book Electronic Transport in Mesoscopic Systems written by Supriyo Datta and published by Cambridge University Press. This book was released on 1997-05-15 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in semiconductor technology have made possible the fabrication of structures whose dimensions are much smaller than the mean free path of an electron. This book gives a thorough account of the theory of electronic transport in such mesoscopic systems. After an initial chapter covering fundamental concepts, the transmission function formalism is presented, and used to describe three key topics in mesoscopic physics: the quantum Hall effect; localisation; and double-barrier tunnelling. Other sections include a discussion of optical analogies to mesoscopic phenomena, and the book concludes with a description of the non-equilibrium Green's function formalism and its relation to the transmission formalism. Complete with problems and solutions, the book will be of great interest to graduate students of mesoscopic physics and nanoelectronic device engineering, as well as to established researchers in these fields.

Phonon Dynamics and Thermal Transport in Surface-disordered Nanostructures

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (97 download)

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Book Synopsis Phonon Dynamics and Thermal Transport in Surface-disordered Nanostructures by : Leon Nathaniel Maurer

Download or read book Phonon Dynamics and Thermal Transport in Surface-disordered Nanostructures written by Leon Nathaniel Maurer and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation examines the effects of surface disorder on phonon dynamics through two different but complementary approaches. First, we use a phonon Monte Carlo (PMC) simulation with random, rough surfaces. PMC is an excellent tool for studying nanostructures of experimentally relevant sizes. We detail our PMC method, including improvements over previous PMC simulations. We investigate why rough silicon nanowires have measured thermal conductivities about two orders of magnitude lower than predicted and comparable to amorphous materials. We show that it can be largely explained through scattering from rough surfaces; extreme roughness causes a qualitative change in how phonons interact with boundaries. During this project, we uncovered the utility of the geometric mean free path (GMFP), which is a concept developed in the study of chaotic billiards. The GMFP is the average distance a particle travels between surface scattering events (in the absence of other scattering mechanisms), and we show that the thermal conductivities obtained from our PMC simulations are a function of the GMFP. Second, we study two-dimensional elastic nanoribbons using finite-difference methods. Elastic materials make good model systems for studying lattice dynamics because elastic materials capture wave behavior, and, in the long-wavelength limit, phonons behave like elastic waves. Our elastic-medium finite-difference time-domain (FDTD) simulation allows us to efficiently model relatively large structures while still treating phonons as waves. We develop a technique to calculate the thermal conductivity of elastic nanoribbons by coupling our FDTD simulation with the Green-Kubo formula. We also employ a time-independent finite-difference (TIFD) method to solve for and study individual modes of our system. We find that rough surfaces can have an outsize impact on phonon dynamics. Surfaces do not simply scatter phonons; rough surfaces can also trap energy and cause all modes throughout the system to localize. The energy trapping and localization coincide with reduced thermal conductivity. We also investigate the effects of Rayleigh waves, a nonbulk mode often ignored in phonon transport simulations. We use TIFD methods to search for signs of wave chaos in nanoribbons. We find an interesting connection between the GMFP and thermal conductivity, which points the way towards future work.