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Mesoscopic Theories of Heat Transport in Nanosystems

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Release : 2016-02-03
Genre : Science
Kind : eBook
Book Rating : 063/5 ( reviews)

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Book Synopsis Mesoscopic Theories of Heat Transport in Nanosystems by : Antonio Sellitto

Download or read book Mesoscopic Theories of Heat Transport in Nanosystems written by Antonio Sellitto. This book was released on 2016-02-03. Available in PDF, EPUB and Kindle. Book excerpt: This book presents generalized heat-conduction laws which, from a mesoscopic perspective, are relevant to new applications (especially in nanoscale heat transfer, nanoscale thermoelectric phenomena, and in diffusive-to-ballistic regime) and at the same time keep up with the pace of current microscopic research. The equations presented in the book are compatible with generalized formulations of nonequilibrium thermodynamics, going beyond the local-equilibrium. The book includes six main chapters, together with a preface and a final section devoted to the future perspectives, as well as an extensive bibliography.

Solving Problems in Thermal Engineering

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Release : 2019-10-24
Genre : Technology & Engineering
Kind : eBook
Book Rating : 759/5 ( reviews)

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Book Synopsis Solving Problems in Thermal Engineering by : Viktor Józsa

Download or read book Solving Problems in Thermal Engineering written by Viktor Józsa. This book was released on 2019-10-24. Available in PDF, EPUB and Kindle. Book excerpt: This book provides general guidelines for solving thermal problems in the fields of engineering and natural sciences. Written for a wide audience, from beginner to senior engineers and physicists, it provides a comprehensive framework covering theory and practice and including numerous fundamental and real-world examples. Based on the thermodynamics of various material laws, it focuses on the mathematical structure of the continuum models and their experimental validation. In addition to several examples in renewable energy, it also presents thermal processes in space, and summarizes size-dependent, non-Fourier, and non-Fickian problems, which have increasing practical relevance in, e.g., the semiconductor industry. Lastly, the book discusses the key aspects of numerical methods, particularly highlighting the role of boundary conditions in the modeling process. The book provides readers with a comprehensive toolbox, addressing a wide variety of topics in thermal modeling, from constructing material laws to designing advanced power plants and engineering systems.

Non-Fourier Heat Conduction

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Release : 2023-07-01
Genre : Science
Kind : eBook
Book Rating : 734/5 ( reviews)

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Book Synopsis Non-Fourier Heat Conduction by : Alexander I. Zhmakin

Download or read book Non-Fourier Heat Conduction written by Alexander I. Zhmakin. This book was released on 2023-07-01. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a broad and well-structured overview of various non-Fourier heat conduction models. The classical Fourier heat conduction model is valid for most macroscopic problems. However, it fails when the wave nature of the heat propagation becomes dominant and memory or non-local spatial effects become significant; e.g., during ultrafast heating, heat transfer at the nanoscale, in granular and porous materials, at extremely high values of the heat flux, or in heat transfer in biological tissues. The book looks at numerous non-Fourier heat conduction models that incorporate time non-locality for materials with memory, such as hereditary materials, including fractional hereditary materials, and/or spatial non-locality, i.e. materials with a non-homogeneous inner structure. Beginning with an introduction to classical transport theory, including phase-lag, phonon, and thermomass models, the book then looks at various aspects of relativistic and quantum transport, including approaches based on the Landauer formalism as well as the Green-Kubo theory of linear response. Featuring an appendix that provides an introduction to methods in fractional calculus, this book is a valuable resource for any researcher interested in theoretical and numerical aspects of complex, non-trivial heat conduction problems.

Entropy and Non-Equilibrium Statistical Mechanics

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Release : 2020-12-15
Genre : Technology & Engineering
Kind : eBook
Book Rating : 321/5 ( reviews)

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Book Synopsis Entropy and Non-Equilibrium Statistical Mechanics by : Antonio M. Scarfone

Download or read book Entropy and Non-Equilibrium Statistical Mechanics written by Antonio M. Scarfone. This book was released on 2020-12-15. Available in PDF, EPUB and Kindle. Book excerpt: Nonequilibrium statistical mechanics has a long history featuring diverse aspects. It has been a major research field in physics and will remain so in the future. Even regarding the concept of entropy, there exists a longstanding problem concerning its definition for a system in a state far from equilibrium. In this Special Issue, we offered the possibility to discuss and present up-to-date problems that were not necessarily restricted to statistical mechanics. Theoretical and experimental papers are both presented, in addition to unifying research works. As the entropy itself is the central element of nonequilibrium processes, papers discuss various formulations of the second law and its consequences. In this Special Issue, recent progress in kinetic approaches to hydrodynamics, rational extended thermodynamics, entropy in a strongly nonequilibrium stationary state, and related topics are reported as both review articles as well as original research works.

Joseph Fourier 250th Birthday

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Release : 2019-03-28
Genre : Science
Kind : eBook
Book Rating : 462/5 ( reviews)

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Book Synopsis Joseph Fourier 250th Birthday by : Frédéric Barbaresco

Download or read book Joseph Fourier 250th Birthday written by Frédéric Barbaresco. This book was released on 2019-03-28. Available in PDF, EPUB and Kindle. Book excerpt: For the 250th birthday of Joseph Fourier, born in 1768 in Auxerre, France, this MDPI Special Issue will explore modern topics related to Fourier Analysis and Heat Equation. Modern developments of Fourier analysis during the 20th century have explored generalizations of Fourier and Fourier–Plancherel formula for non-commutative harmonic analysis, applied to locally-compact, non-Abelian groups. In parallel, the theory of coherent states and wavelets has been generalized over Lie groups. One should add the developments, over the last 30 years, of the applications of harmonic analysis to the description of the fascinating world of aperiodic structures in condensed matter physics. The notions of model sets, introduced by Y. Meyer, and of almost periodic functions, have revealed themselves to be extremely fruitful in this domain of natural sciences. The name of Joseph Fourier is also inseparable from the study of the mathematics of heat. Modern research on heat equations explores the extension of the classical diffusion equation on Riemannian, sub-Riemannian manifolds, and Lie groups. In parallel, in geometric mechanics, Jean-Marie Souriau interpreted the temperature vector of Planck as a space-time vector, obtaining, in this way, a phenomenological model of continuous media, which presents some interesting properties. One last comment concerns the fundamental contributions of Fourier analysis to quantum physics: Quantum mechanics and quantum field theory. The content of this Special Issue will highlight papers exploring non-commutative Fourier harmonic analysis, spectral properties of aperiodic order, the hypoelliptic heat equation, and the relativistic heat equation in the context of Information Theory and Geometric Science of Information.

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