This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brasov, Romania, from May 13th to 17th, 2019. The conference gathered international experts from various fields of mathematics and computer science, with diverse interests and viewpoints on transcendence. The covered topics are related to algebraic and transcendental aspects of special functions and special numbers arising in algebra, combinatorics, geometry and number theory. Besides contributions on key topics from invited speakers, this volume also brings selected papers from attendees.

"Thermal Energy Storage Technologies for Sustainability"is a broad-based overview describing the state-of-the-art in latent, sensible, and thermo-chemical energy storage systems and their applications across industries. Beginning with a discussion of the efficiency and conservation advantages of balancing energy demand with production, the book goes on to describe current state-of-the art technologies. Not stopping with description, the authors also discuss design, modeling, and simulation of representative systems, and end with several case studies of systems in use.
Describes how thermal energy storage helps bridge the gap between energy demand and supply, particularly for intermittent power sources like solar, wind, and tidal systemsProvides tables, illustrations, and comparative case studies that show applications of TES systems across industriesIncludes a chapter on the rapidly developing field of viable nanotechnology-based thermal energy storage systems"

This book is devoted to the problems of oxidation chemical reactions and addresses bimodal reaction sequences. Chemical reactions of oxidation, occurring under certain conditions and in multicomponent systems are complex processes. The process of the oxidation essentially changes in the presence and contact of the solid substances with reactants. The role of solid substances and the appearance of this phenomenon in oxidation reaction are discussed. The reader will understand the "driving forces" of this phenomenon and apply it in practice. Written for chemists, physicists, biologists and engineers working in the domain of oxidation reactions. Key Selling Features: Covers the historical background, modern state of the art, and perspectives in investigations of the coupling between heterogeneous and homogeneous reactions Discusses the feasible pathways of the coupling of heterogeneous and homogeneous reactions in oxidation in man-made and natural chemical systems Addresses the abundance, peculiarities and mechanisms of the bimodal reaction sequences in oxidation with dioxygen in recent decades Discusses the existence of the bimodal reaction sequences in chemical systems investigations in atmospheric chemistry and heterogeneous photocatalysis Presented in a simple concise style, accessible for both specialists and non-specialists

Written for an advanced undergraduate or first-year graduate course, Intermediate Heat Transfer starts with the basics, and puts emphasis on formulating problems, obtaining solutions, and analyzing results using analytical, and numerical methods with the aid of spreadsheets and CFD software. The text employs nondimensionalization as a tool for simplifying the governing equations, developing additional insights into the physics of the problems, identifying the relevant parameters, and arriving at general solutions. It provides comprehensive coverage of the topics and develops the skills for solving heat transfer problems using numerical methods with the aid of spreadsheets and computational fluid mechanics software. Presents coverage of convective, conductive, and radiative heat transfer at the graduate level Provides a balance of analytical and numerical approaches to advanced heat transfer Stresses nondimensionalization throughout the book as a tool for simplifying the governing equations The author presents detailed numerical solutions to many advanced problems using spreadsheets, although the methods presented for obtaining solutions can be can also be implemented using equation solvers and computing environments, or direct programming using languages such as Fortran or C. The text contains a chapter on CFD to provide the necessary background for obtaining and analyzing CFD solutions. It includes a number of step-by-step tutorials for solving more complicated problems using Fluent, both to show how CFD codes are used as well as a further check of some of the more commonly used assumptions. The text also has extensive coverage of heat exchangers, including being the first text to cover the heat exchanger efficiency for the design and analysis of heat exchangers. This approach eliminates the need for complicated charts or equations. The chapter on mass tr

This clear and pedagogical text delivers a concise overview of classical and quantum statistical physics. Essential Statistical Physics shows students how to relate the macroscopic properties of physical systems to their microscopic degrees of freedom, preparing them for graduate courses in areas such as biophysics, condensed matter physics, atomic physics and statistical mechanics. Topics covered include the microcanonical, canonical, and grand canonical ensembles, Liouville's Theorem, Kinetic Theory, non-interacting Fermi and Bose systems and phase transitions, and the Ising model. Detailed steps are given in mathematical derivations, allowing students to quickly develop a deep understanding of statistical techniques. End-of-chapter problems reinforce key concepts and introduce more advanced applications, and appendices provide a detailed review of thermodynamics and related mathematical results. This succinct book offers a fresh and intuitive approach to one of the most challenging topics in the core physics curriculum and provides students with a solid foundation for tackling advanced topics in statistical mechanics.

Statistical thermodynamics and the related domains of statistical physics and quantum mechanics are very important in many fields of research, including plasmas, rarefied gas dynamics, nuclear systems, lasers, semiconductors, superconductivity, ortho- and para-hydrogen, liquid helium, and so on. Statistical Thermodynamics: Understanding the Properties of Macroscopic Systems provides a detailed overview of how to apply statistical principles to obtain the physical and thermodynamic properties of macroscopic systems. Intended for physics, chemistry, and other science students at the graduate level, the book starts with fundamental principles of statistical physics, before diving into thermodynamics. Going further than many advanced textbooks, it includes Bose-Einstein, Fermi-Dirac statistics, and Lattice dynamics as well as applications in polaron theory, electronic gas in a magnetic field, thermodynamics of dielectrics, and magnetic materials in a magnetic field. The book concludes with an examination of statistical thermodynamics using functional integration and Feynman path integrals, and includes a wide range of problems with solutions that explain the theory.

Closed Nuclear Fuel Cycle with Fast Reactors: Handbook of Russian Nuclear Power provides unique insights into research and practical activities from leading Russian experts. It presents readers with unprecedented insight and essential knowledge surrounding nuclear fast reactor technologies, as well as novel methods to close the nuclear fuel cycle to achieve cleaner, more environmentally friendly, and more efficient nuclear power. Using the Proryv Project as a framework, the book's contributors provide detailed descriptions of technologies in development in Russia, allowing readers from around the globe to gain a thorough understanding which they can then apply to their own research and practice. Nuclear engineers and technologists of fast reactors, advanced reactors and fuel cycles will use this book as a guide to inform new technology development. They will be able to use the experiences from the Proryv Project to drive fast reactor development with closed fuel cycles for the future.

This book is a rewritten and annotated version of Leo P. Kadanoff and Gordon Baym's lectures that were presented in the book Quantum Statistical Mechanics: Green's Function Methods in Equilibrium and Nonequilibrium Problems. The lectures were devoted to a discussion on the use of thermodynamic Green's functions in describing the properties of many-particle systems. The functions provided a method for discussing finite-temperature problems with no more conceptual difficulty than ground-state problems, and the method was equally applicable to boson and fermion systems and equilibrium and nonequilibrium problems. The lectures also explained nonequilibrium statistical physics in a systematic way and contained essential concepts on statistical physics in terms of Green's functions with sufficient and rigorous details. In-Gee Kim thoroughly studied the lectures during one of his research projects but found that the unspecialized method used to present them in the form of a book reduced their readability. He started the tedious work of rewriting and annotating them to fully understand the formalism of nonequilibrium quantum statistical mechanics. While doing so, he realized they can be a useful resource for students of modern physics but will have to be upgraded to match pace with the evolved curricula. Being aware that besides completing the course work and passing the relevant examinations, it is necessary for graduate students of modern physics to make the knowledge of a topic concrete in their minds. This book is a systematically prepared summary of those lectures and will be extremely useful for graduate students as well as senior researchers to settle down the key knowledge of the subject.

An entertaining mathematical exploration of the heat equation and its role in the triumphant development of the trans-Atlantic telegraph cable Heat, like gravity, shapes nearly every aspect of our world and universe, from how milk dissolves in coffee to how molten planets cool. The heat equation, a cornerstone of modern physics, demystifies such processes, painting a mathematical picture of the way heat diffuses through matter. Presenting the mathematics and history behind the heat equation, Hot Molecules, Cold Electrons tells the remarkable story of how this foundational idea brought about one of the greatest technological advancements of the modern era. Paul Nahin vividly recounts the heat equation's tremendous influence on society, showing how French mathematical physicist Joseph Fourier discovered, derived, and solved the equation in the early nineteenth century. Nahin then follows Scottish physicist William Thomson, whose further analysis of Fourier's explorations led to the pioneering trans-Atlantic telegraph cable. This feat of engineering reduced the time it took to send a message across the ocean from weeks to minutes. Readers also learn that Thomson used Fourier's solutions to calculate the age of the earth, and, in a bit of colorful lore, that writer Charles Dickens relied on the trans-Atlantic cable to save himself from a career-damaging scandal. The book's mathematical and scientific explorations can be easily understood by anyone with a basic knowledge of high school calculus and physics, and MATLAB code is included to aid readers who would like to solve the heat equation themselves. A testament to the intricate links between mathematics and physics, Hot Molecules, Cold Electrons offers a fascinating glimpse into the relationship between a formative equation and one of the most important developments in the history of human communication.

From the hydrophobic effect to protein-ligand binding, statistical physics is relevant in almost all areas of molecular biophysics and biochemistry, making it essential for modern students of molecular behavior. But traditional presentations of this material are often difficult to penetrate. Statistical Physics of Biomolecules: An Introduction brings "down to earth" some of the most intimidating but important theories of molecular biophysics. With an accessible writing style, the book unifies statistical, dynamic, and thermodynamic descriptions of molecular behavior using probability ideas as a common basis. Numerous examples illustrate how the twin perspectives of dynamics and equilibrium deepen our understanding of essential ideas such as entropy, free energy, and the meaning of rate constants. The author builds on the general principles with specific discussions of water, binding phenomena, and protein conformational changes/folding. The same probabilistic framework used in the introductory chapters is also applied to non-equilibrium phenomena and to computations in later chapters. The book emphasizes basic concepts rather than cataloguing a broad range of phenomena. Focuses on what students need to know now Students build a foundational understanding by initially focusing on probability theory, low-dimensional models, and the simplest molecular systems. The basics are then directly developed for biophysical phenomena, such as water behavior, protein binding, and conformational changes. The book's accessible development of equilibrium and dynamical statistical physics makes this a valuable text for students with limited physics and chemistry backgrounds.

Written by a world-renowned theoretical physicist, Introduction to Statistical Physics, Second Edition clarifies the properties of matter collectively in terms of the physical laws governing atomic motion. This second edition expands upon the original to include many additional exercises and more pedagogically oriented discussions that fully explain the concepts and applications.

The book first covers the classical ensembles of statistical mechanics and stochastic processes, including Brownian motion, probability theory, and the Fokker-Planck and Langevin equations. To illustrate the use of statistical methods beyond the theory of matter, the author discusses entropy in information theory, Brownian motion in the stock market, and the Monte Carlo method in computer simulations. The next several chapters emphasize the difference between quantum mechanics and classical mechanics-the quantum phase. Applications covered include Fermi statistics and semiconductors and Bose statistics and Bose-Einstein condensation. The book concludes with advanced topics, focusing on the Ginsburg-Landau theory of the order parameter and the special kind of quantum order found in superfluidity and superconductivity.

Assuming some background knowledge of classical and quantum physics, this textbook thoroughly familiarizes advanced undergraduate students with the different aspects of statistical physics. This updated edition continues to provide the tools needed to understand and work with random processes.

There are many thermodynamics introductory texts on the market, yet most provide a presentation that is at a level to high for those new to the field This second edition of Thermodynamics continues to provide an accessible introduction to thermodynamics, which maintains an appropriate rigor to prepare newcomers for subsequent, more advanced topics.

The book presents a logical methodology for solving problems in the context of conservation laws and property labels. The author elucidates the terms around which thermodynamics has historically developed such as work, temperature, entropy, and energy. Using a pedagogical approach that builds from basic principles to laws and eventually corollaries of the law, the text will enable students to think in clear and correct thermodynamic terms as well as solve real engineering problems.

For those just beginning their studies in the field, Thermodynamics, Second Edition provides the core fundamentals in a rigorous, accurate, and accessible presentation.

Molecular Driving Forces, Second Edition is an introductory statistical thermodynamics text that describes the principles and forces that drive chemical and biological processes. It demonstrates how the complex behaviors of molecules can result from a few simple physical processes, and how simple models provide surprisingly accurate insights into the workings of the molecular world.

Widely adopted in its First Edition, Molecular Driving Forces is regarded by teachers and students as an accessible textbook that illuminates underlying principles and concepts. The Second Edition includes two brand new chapters: (1) "Microscopic Dynamics" introduces single molecule experiments; and (2) "Molecular Machines" considers how nanoscale machines and engines work. "The Logic of Thermodynamics" has been expanded to its own chapter and now covers heat, work, processes, pathways, and cycles. New practical applications, examples, and end-of-chapter questions are integrated throughout the revised and updated text, exploring topics in biology, environmental and energy science, and nanotechnology. Written in a clear and reader-friendly style, the book provides an excellent introduction to the subject for novices while remaining a valuable resource for experts.

In this compelling, and important book, John Schmitz brings order to the world of chaos that surrounds us. The Second Law of Life refers to the second law of thermodynamics, entropy, which is an omnipresent force that quietly and crucially determines every aspect of our society, culture and daily lives. Unless we come to understand entropy, future generations will face consequences of the unstoppable laws of physics.
Entropy explains the amount of energy no longer capable of doing work; in other words, wasted energy or heat loss. Each moment of every day, we lose irreplaceable energy and omoderno technology is not helping. In fact, it is accelerating the problem at a catastrophic rate. u And we will ultimately face a heat death crisis and utter destruction of the Earth.
Even actions we take to improve the environment may actually do more damage than good. For example, recycling is considered environmentally, socially and politically correct. Under the influence of entropy, however, it is a prolific waster of energy; we must look at entire systems, not just parts.
It is critical that we find ways to reduce energy loss. Seeing the problems with greater clarity will lead to solutions. This fascinating and accessible journey through the second law of thermodynamics is a step in the right direction."

Low-Grade Thermal Energy Harvesting: Advances in Thermoelectrics, Materials, and Emerging Applications provides readers with fundamental and key concepts surrounding low-grade thermal energy conversion while also reviewing the latest research directions. The book covers the most promising and emerging technologies for low-grade heat recovery, harvesting and conversion, including wearable thermoelectrics and organic thermoelectrics. Each chapter includes key materials, principles, design and fabrication strategies for low-grade heat recovery. Special attention on emerging materials such as organic composites, 2D materials and nanomaterials are also included. The book emphasizes materials and device structures that enable the powering of wearable electronics and consumer electronics. The book is suitable for materials scientists and engineers in academia and R&D in manufacturing, industry, energy and electronics.

- It provides a rigorous mathematical and physical basis to techniques that are often introduced on empirical basis - While the book covers a broad range of techniques, it starts at a basic theoretical level. This gives the book a strong foundation and makes it accessible to students from various backgrounds. - Has a computational focus unlike many competing titles

This encyclopedia provides an authoritative single source for understanding and applying the concepts of complexity theory together with the tools and measures for analyzing complex systems in all fields of science and engineering. It links fundamental concepts of mathematics and computational sciences to applications in the physical sciences, engineering, biomedicine, economics and the social sciences.

Thermal Management of Gallium Nitride Electronics outlines the technical approaches undertaken by leaders in the community, the challenges they have faced, and the resulting advances in the field. This book serves as a one-stop reference for compound semiconductor device researchers tasked with solving this engineering challenge for future material systems based on ultra-wide bandgap semiconductors. A number of perspectives are included, such as the growth methods of nanocrystalline diamond, the materials integration of polycrystalline diamond through wafer bonding, and the new physics of thermal transport across heterogeneous interfaces. Over the past 10 years, the book's authors have performed pioneering experiments in the integration of nanocrystalline diamond capping layers into the fabrication process of compound semiconductor devices. Significant research efforts of integrating diamond and GaN have been reported by a number of groups since then, thus resulting in active thermal management options that do not necessarily lead to performance derating to avoid self-heating during radio frequency or power switching operation of these devices. Self-heating refers to the increased channel temperature caused by increased energy transfer from electrons to the lattice at high power. This book chronicles those breakthroughs.

This book will help readers understand thermodynamic properties caused by magnetic fields. Providing a concise review of time independent magnetic fields, it goes on to discuss the thermodynamic properties of magnetizing materials of different shapes, and finally, the equilibrium properties of superconductors of different shapes and also of different sizes. Chapters are accompanied by problems illustrating the applications of the principles to optimize and enhance understanding. This book will be of interest to advanced undergraduates, graduate students, and researchers specializing in thermodynamics, solid state physics, magnetism, and superconductivity. Features: The first book to provide comprehensive coverage of thermodynamics in magnetic fields, only previously available, in part, in journal articles Chapters include problems and worked solutions demonstrating real questions in contemporary superconductivity, such as properties of vortex matter

Applied Micromechanics of Complex Microstructures: Computational Modeling and Numerical Characterization explains the fundamental concepts of continuum modeling of various complicated microstructures, covering nanocomposites, multi-phase composites, biomaterials, biological materials, and more. The book's authors outline the calculation of effective mechanical and thermal properties, allowing readers to fully understand step-by-step modeling and homogenization of complicated microstructures. The book also features a chapter on microstructure hull and materials design, along with the modeling of complex samples with nonlinear properties such as neural tissue, bone microstructure, and liver tissue.

Understanding the structural and thermodynamic properties of surfaces, interfaces, and membranes is important for both fundamental and practical reasons. Important applications include coatings, dispersants, encapsulating agents, and biological materials. Soft materials, important in the development of new materials and the basis of many biological systems, cannot be designed using trial and error methods due to the multiplicity of components and parameters. While these systems can sometimes be analyzed in terms of microscopic mixtures, it is often conceptually simpler to regard them as dispersions and to focus on the properties of the internal interfaces found in these systems. The basic physics centers on the properties of quasi-two-dimensional systems embedded in the three-dimensional world, thus exhibiting phenomena that do not exist in bulk materials. This approach is the basis behind the theoretical presentation of Statistical Thermodynamics of Surfaces, Interfaces, and Membranes. The approach adapted allows one to treat the rich diversity of phenomena investigated in the field of soft matter physics (including both colloid/interface science as well as the materials and macromolecular aspects of biological physics) such as interfacial tension, the roughening transition, wetting, interactions between surfaces, membrane elasticity, and self-assembly. Presented as a set of lecture notes, this book is aimed at physicists, physical chemists, biological physicists, chemical engineers, and materials scientists who are interested in the statistical mechanics that underlie the macroscopic, thermodynamic properties of surfaces, interfaces, and membranes. This paperback edition contains all the material published in the original hard-cover edition as well as additional clarifications and explanations.

Ideal for one- or two-semester courses that assume elementary knowledge of calculus This text presents the fundamental concepts of thermodynamics and applies these to problems dealing with properties of materials, phase transformations, chemical reactions, solutions and surfaces.utilizing principles of statistical mechanics to illustrate key concepts from a microscopic perspective, as well as develop equations of kinetic theory. Discusses the second law of thermodynamics-considering entropy as the indicator of energy quality. Principles of Thermodynamics provides end-of-chapter question and problem sets, some using MathcadT and MathematicaT a useful glossary containing important symbols, definitions, and units appendices covering multivariable calculus and valuable numerical methods and examines the basic ideas of energy, entropy, and free energy chemical reactions neutral and ionic solutions and electrochemical systems phase diagrams for binary and ternary systems surface effects in single component and multicomponent systems the thermodynamics of steady-state systems polymers and nonequilibrium systems Principles of Thermodynamics is an authoritative text suitable for upper-level undergraduate and graduate students in chemistry, physics, geosciences, and engineering.

Fundamentals of the Finite Element Method for Heat and Mass Transfer, Second Edition is a comprehensively updated new edition and is a unique book on the application of the finite element method to heat and mass transfer. Addresses fundamentals, applications and computer implementation Educational computer codes are freely available to download, modify and use Includes a large number of worked examples and exercises Fills the gap between learning and research

This book provides a comprehensive overview of modern computer-based techniques for analyzing the structure, properties and dynamics of biomolecules and biomolecular processes. It is organized in four main parts; the first one deals with methodology of molecular simulations; the second one with applications of molecular simulations; the third one introduces bioinformatics methods and the use of experimental information in molecular simulations; the last part reports on selected applications of molecular quantum mechanics. This second edition has been thoroughly revised and updated to include the latest progresses made in the respective field of research.

This book fills the need for an intermediate undergraduate textbook on statistical physics. The subject is introduced from a phenomenalogical stance and presented in terms of thermodynamics, stressing the power and practicality of this approach. The atomic view is then discussed and formal stistical mechanics is brought in. Finally the reader is brought back to phenomenology, in the treatment of noise and random processes.
Examples are drawn from topics of strong current interest, such as quantum optics, superconductivity and Bose-Einstein condensation. The book contains a large number of examples and a solutions manual and teachers guide will accompany the text.
* distiguished and renowned author
* topical presentation of core subject