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Books > Science & Mathematics > Physics > Thermodynamics & statistical physics
This textbook presents the fundamental concepts and theories in thermal physics and elementary statistical mechanics in a very simple, systematic and comprehensive way. This book is written in a way that it presents the topics in a holistic manner with end-of-chapter exercises and examples where concepts are supported by numerous solved examples and multiple-choice questions to aid self-learning. The textbook also contains illustrated diagrams for better understanding of the concepts. The book will benefit students who are taking introductory courses in thermal physics, thermodynamics and statistical mechanics.
Geostationary or equatorial synchronous satellites are a daily reminder of our space efforts during the past two decades. The nightly television satellite weather picture, the intercontinental telecommunications of television transmissions and telephone conversations, and the establishrnent of educational programs in remote regions on Earth are constant reminders of the presence of these satellites. As used here, the term 'geo stationary' must be taken loosely because, in the long run, the satellites will not remain 'stationary' with respect to an Earth-fixed reference frame. This results from the fact that these satellites, as is true for all satellites, are incessantly subject to perturbations other than the central-body attraction of the Earth. Among the more predominant pertur bations are: the ellipticity of the Earth's equator, the Sun and Moon, and solar radiation pressure. Higher harmonics of the Earth's potential and tidal effects also influence satellite motion, but they are of second order when compared to the predominant perturbations. This volume deals with the theory of geostationary satellites. It consists of seven chapters. Chapter 1 provides a general discussion including a brief history of geostationary satellites and their practical applications. Chapter 2 describes the Earth's gravitational potential field and the methodology of solving the geostationary satellite problem. Chapter 3 treats the effect of Earth's equatorial ellipticity (triaxiality) on a geostationary satellite. Chapter 4 deals with the effects of the Sun and Moon on the satellite's motion while Chapter 5 presents the combined influences of the Sun, Moon and solar radiation pressure. Chapter 6 describes various station-keeping techniques which may be used to make geostationary satellites practically stationary. Finally, Chapter 7 describes the verification of the theory developed in Chapters 3, 4 and 5 by utilizing the Early Bird synchronous satellite observed data as well as its numerically integrated results.
This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure-the Schrodinger-Virasoro algebra. Just as Poincare invariance or conformal (Virasoro) invariance play a key role in understanding, respectively, elementary particles and two-dimensional equilibrium statistical physics, this algebra of non-relativistic conformal symmetries may be expected to apply itself naturally to the study of some models of non-equilibrium statistical physics, or more specifically in the context of recent developments related to the non-relativistic AdS/CFT correspondence. The study of the structure of this infinite-dimensional Lie algebra touches upon topics as various as statistical physics, vertex algebras, Poisson geometry, integrable systems and supergeometry as well as representation theory, the cohomology of infinite-dimensional Lie algebras, and the spectral theory of Schrodinger operators."
This book starts with an introduction to the basic concepts of multistability, then illustrates how multistability arises in different systems and explains the main mechanisms of multistability emergence. A special attention is given to noise which can convert a multistable deterministic system to a monostable stochastic one. Furthermore, the most important applications of multistability in different areas of science, engineering and technology are given attention throughout the book, including electronic circuits, lasers, secure communication, and human perception. The book aims to provide a first approach to multistability for readers, who are interested in understanding its fundamental concepts and applications in several fields. This book will be useful not only to researchers and engineers focusing on interdisciplinary studies, but also to graduate students and technicians. Both theoreticians and experimentalists will rely on it, in fields ranging from mathematics and laser physics to neuroscience and astronomy. The book is intended to fill a gap in the literature, to stimulate new discussions and bring some fundamental issues to a deeper level of understanding of the mechanisms underlying self-organization of matter and world complexity.
The thesis presents a systematic study of the Mpemba effect in a colloidal system with a micron-sized particle diffusing in a water bath. While the Mpemba effect, where a system's thermal relaxation time is a non-monotonic function of the initial temperature, has been observed in water since Aristotle's era, the underlying mechanism of the effect is still unknown. Recent studies indicate that the effect is not limited to water and has been studied both experimentally and numerically in a wide variety of systems. By carefully designing a double-well potential using feedback-based optical tweezers, the author demonstrates that an initially hot system can sometimes cool faster than an initially warm system. The author also presents the first observation in any system of another counterintuitive effect-the inverse Mpemba effect-where the colder of the two samples reaches the thermal equilibrium at a hot temperature first. The results for both the observations agree with theoretical predictions based on the Fokker-Planck equation. The experiments reveal that, for carefully chosen conditions, a strong version of both of the effects are observed where a system can relax to the bath temperature exponentially faster than under typical conditions.
Power System Frequency Control: Modeling and Advances evaluates the control schemata, secondary controllers, stability improvement methods, optimization considerations, microgrids, multi-microgrids, and real-time validation required to model and analyze the dynamic behavior of frequency in power systems. Chapters review a range of advanced modeling and analytical considerations for single to multi-area networks using traditional and hybrid sources, including renewable sources, FACT devices and storage. The work also considers broad aspects of upstream and downstream control mechanisms which enable novel solutions in the area of automatic generation control in power system networks. Highly recommended for power system engineers, researchers and practitioners with interests in load frequency control, automatic generation control, linearized models of isolated microgrid, and multi-microgrid, and hybrid LFC scheme, this book is an ideal resource on the topics discussed.
Material particles, electrons, atoms, molecules, interact with one another by means of electromagnetic forces. That is, these forces are the cause of their being combined into condensed (liquid or solid) states. In these condensed states, the motion of the particles relative to one another proceeds in orderly fashion; their individual properties as well as the electric and magnetic dipole moments and the radiation and absorption spectra, ordinarily vary little by comparison with their properties in the free state. Exceptiotls are the special so-called collective states of condensed media that are formed under phase transitions of the second kind. The collective states of matter are characterized to a high degree by the micro-ordering that arises as a result of the interaction between the particles and which is broken down by chaotic thermal motion under heating. Examples of such pheonomena are the superfluidity of liquid helium, and the superconductivity and ferromagnetism of metals, which exist only at temperatures below the critical temperature. At low temperature states the particles do not exhibit their individual characteristics and conduct themselves as a single whole in many respects. They flow along capillaries in ordered fashion and create an undamped current in a conductor or a macroscopic magnetic moment. In this regard the material acquires special properties that are not usually inherent to it.
This book is concerned with the prediction of thermodynamic and transport properties of gases and liquids. The prediction of such properties is essential for the solution of many problems encountered in chemical and process engineering as well as in other areas of science and technology. The book aims to present the best of those modern methods which are capable of practical application. It begins with basic scientific principles and formal results which are subsequently developed into practical methods of prediction. Numerous examples, supported by a suite of computer programmes, illustrate applications of the methods. The book is aimed primarily at the student market (for both undergraduate and taught postgraduate courses) but it will also be useful for those engaged in research and for chemical and process engineering professionals.
The book presents nonlinear, chaotic and fractional dynamics, complex systems and networks, together with cutting-edge research on related topics. The fifteen chapters - written by leading scientists working in the areas of nonlinear, chaotic, and fractional dynamics, as well as complex systems and networks - offer an extensive overview of cutting-edge research on a range of topics, including fundamental and applied research. These include but are not limited to, aspects of synchronization in complex dynamical systems, universality features in systems with specific fractional dynamics, and chaotic scattering. As such, the book provides an excellent and timely snapshot of the current state of research, blending the insights and experiences of many prominent researchers.
This book offers a unique treatment of building insulating products and the integration of these products with building components. This book was written for all those involved in building design, specification, construction, and commissioning, providing them with an understanding of and appreciation for the wide variety of thermal insulation products and technologies available for use in all types of buildings. The book proceeds from basic definitions and discussion of heat-transfer topics and thermal insulation concepts, to the design and use of these products. The impact of thermal insulation on dynamic building performance, including factors other than heating and cooling, is also discussed. The book does not require an advanced mathematical background. The authors provide sufficient information to provide a qualitative understanding, with more mathematical sections included for those interested in modeling and analysis. The basic physics associated with heat transfer in buildings are presented, along with the steady-state and transient analysis techniques needed for the effective implementation of thermal insulation and assemblies. Modern building design involves the integration of comfort, safety, economics, durability and cost considerations, all of which impact the selection and use of thermal insulation materials in buildings. In addition to theoretical explanations of the underlying science, the book details the properties and application of new thermal insulation materials, including vacuum panels, gas-filled panels, aerogels, phase-change materials, and radiation control technologies. Given its scope, the book will be of interest to researchers and building engineers wishing to understand the latest technologies and materials available, so as to achieve reduced energy consumption in commercial and residential buildings.
This textbook on fire dynamics provides a comprehensive description of fuels involved in fires, definitions related to fire, thermodynamics for fire calculations, basics of transport processes and fundamental aspects of combustion related to fire, physical descriptions of premixed and non-premixed flames, detailed analysis of the characteristics of fires from solid and liquid fuels, including ignition, spread and burning rates and physical aspects of fire plumes, compartment fires and dust fires. The contents also highlight fundamental aspects related to the evaporation of liquid fuels and pyrolysis of solid fuels which are explained with simplified mathematical expressions. The book includes pedagogical features such as worked examples to illustrate mathematical calculations involved in fire analysis and end-of-chapter review questions. This book proves useful for students, researchers and industry professionals alike.
Industrial and Process Furnaces: Principles, Design and Operation, Third Editioncontinues to provide comprehensive coverage on all aspects of furnace operation and design, including topics essential for process engineers and operators to better understand furnaces. New to this edition are sections on production, handling and utilization of alternative fuels such as biomass, hydrogen and various wastes, modeling of the process, combustion and heat transfer, their benefits, advantages and limitations, mitigation and removal of CO2 , the role of solar and other renewable energy, recent research, and the practical approach of the Whyalla steelworks for harnessing solar energy for sustainable steelmaking, hydrogen and as a "clean fuel". The book also includes a discussion on the limitations of hydrogen supply owing to fresh water supply constraints, the difficulty of storing and transporting hydrogen, and the current sociopolitical impetus of CO2.
The aim of this volume of scientific essays is twofold. On the one hand, by remembering the scientific figure of Eduardo R. Caianiello, it aims at focusing on his outstanding contributions - from theoretical physics to cybernetics - which after so many years still represent occasion of innovative paths to be fruitfully followed. It must be stressed the contribution that his interdisciplinary methodology can still be of great help in affording and solving present day complex problems. On the other hand, it aims at pinpointing with the help of the scientists contributing to the volume - some crucial problems in present day research in the fields of interest of Eduardo Caianiello and which are still among the main lines of investigation of some of the Institutes founded by Eduardo (Istituto di Cibernetica del CNR, IIAS, etc).
Thermodynamics is not the oldest of sciences. Mechanics can make that claim. Thermodynamicsisaproductofsomeofthegreatestscienti?cmindsofthe19thand 20th centuries. But it is suf?ciently established that most authors of new textbooks in thermodynamics ?nd it necessary to justify their writing of yet another textbook. I ?nd this an unnecessary exercise because of the centrality of thermodynamics as a science in physics, chemistry, biology, and medicine. I do acknowledge, however, that instruction in thermodynamics often leaves the student in a confused state. My attempt in this book is to present thermodynamics in as simple and as uni?ed a form as possible. As teachers we identify the failures of our own teachers and attempt to correct them. Although I personally acknowledge with a deep gratitude the appreciation for thermodynamics that I found as an undergraduate, I also realize that my teachers did not convey to me the sweeping grandeur of thermodynamics. Speci?cally the s- plicity and the power that James Clerk Maxwell found in the methods of Gibbs were not part of my undergraduate experience. Unfortunately some modern authors also seem to miss this central theme, choosing instead to introduce the thermodynamic potentials as only useful functions at various points in the development.
This book presents a comprehensive account of the renormalization-group (RG) method and its extension, the doublet scheme, in a geometrical point of view. It extract long timescale macroscopic/mesoscopic dynamics from microscopic equations in an intuitively understandable way rather than in a mathematically rigorous manner and introduces readers to a mathematically elementary, but useful and widely applicable technique for analyzing asymptotic solutions in mathematical models of nature. The book begins with the basic notion of the RG theory, including its connection with the separation of scales. Then it formulates the RG method as a construction method of envelopes of the naive perturbative solutions containing secular terms, and then demonstrates the formulation in various types of evolution equations. Lastly, it describes successful physical examples, such as stochastic and transport phenomena including second-order relativistic as well as nonrelativistic fluid dynamics with causality and transport phenomena in cold atoms, with extensive numerical expositions of transport coefficients and relaxation times. Requiring only an undergraduate-level understanding of physics and mathematics, the book clearly describes the notions and mathematical techniques with a wealth of examples. It is a unique and can be enlightening resource for readers who feel mystified by renormalization theory in quantum field theory.
Complexity Science and Chaos Theory are fascinating areas of
scientific research with wide-ranging applications. The
interdisciplinary nature and ubiquity of complexity and chaos are
features that provides scientists with a motivation to pursue
general theoretical tools and frameworks. Complex systems give rise
to emergent behaviors, which in turn produce novel and interesting
phenomena in science, engineering, as well as in the socio-economic
sciences.
This book collects contributions to the XXIII international conference "Nonlinear dynamics of electronic systems". Topics range from non-linearity in electronic circuits to synchronisation effects in complex networks to biological systems, neural dynamics and the complex organisation of the brain. Resting on a solid mathematical basis, these investigations address highly interdisciplinary problems in physics, engineering, biology and biochemistry.
During the last decade, various powerful experimental tools have been developed, such as small angle X-ray and neutron scattering, X-ray and neutron reflection from interfaces, neutron spin-echo spectroscopy and quasi-elastic multiple light scattering and large scale computer simulations. Due to the rapid progress brought about by these techniques, one witnesses a resurgence of interest in the physicochemical properties of colloids, surfactants and macromolecules in solution. Although these disciplines have a long history, they are at present rapidly transforming into a new, interdisciplinary research area generally known as complex liquids or soft condensed matter physics: names that reflect the considerable involvement of the chemical and condensed matter physicists. This book is based on lectures given at a NATO ASI held in the summer of 1991 and discusses these new developments, both in theory and experiment. It constitutes the most up-to-date and comprehensive summary of the entire field.
This thesis presents several significant new results that shed light on two major puzzles of modern cosmology: the nature of inflation, the very early phase of the universe that is thought to have given rise to the large-scale structures that we observe today; and that of the current accelerated expansion. In particular, it develops a clean method for characterizing linear cosmological perturbations for general theories where gravity is modified and/or affected by a new component, called dark energy, responsible for the accelerated expansion. It proposes a new extension to what were long thought to be the most general scalar field theories devoid of instabilities, and demonstrates the robustness of the relation between the energy scale of inflation and the predicted amplitude of gravitational waves. Finally, it consolidates a set of consistency relations between correlation functions of the cosmological density field and investigates the phenomenological consequences of their potential violation. Presented in a clear, succinct and rigorous style, each of these original results is both profound and important and will leave a deep mark on the field.
This book is designed as a practical and intuitive introduction to probability, statistics and random quantities for physicists. The book aims at getting to the main points by a clear, hands-on exposition supported by well-illustrated and worked-out examples. A strong focus on applications in physics and other natural sciences is maintained throughout. In addition to basic concepts of random variables, distributions, expected values and statistics, the book discusses the notions of entropy, Markov processes, and fundamentals of random number generation and Monte-Carlo methods.
The Mechanics of Threaded Fasteners and Bolted Joints outlines how threaded fasteners and bolted joints fail, how these failures can be remedied, and ultimately how to avoid them altogether through tightening methods, material strength, and avoiding loosening. The book demonstrates how to select the appropriate tightening method and determine the optimal tightening procedure for varying nominal diameters. Using the finite element method, it discusses characteristics of stress concentration and fatigue strength and covers bolt force variation due to elastic interaction. The separation of the plate interface via increased external force as the primary cause of fatigue failure in threaded fasteners is discussed, with effective countermeasures provided. Empirical equations of thermal contact coefficient and apparent thermal contact coefficient in simple form are included as well.
Vortex flow is one of the fundamental types of fluid and gas motion. These flows are the most spectacular in the form of concentrated vortices, characterized by the localization of vorticity (curl of velocity) in bounded regions of a space, beyond which the vorticity is either absent or rapidly falls down to zero. Concentrated vortices are often observed in nature, exemplified by atmospheric cyclones, whirlwinds and tornados, oceanic vortices, whirlpools on a water s- face, and ring vortices caused by explosive outburst of volcanoes. In technical - vices concentrated vortices form when flow separates from sharp edges of flying vehicles and ships. Among these are vortices flowing off the ends of airplane wings, and intentionally generated vortices for intensification of burning in c- bustion chambers, vortices in cyclonic devices used for mixing or separation of impurities in fluids and gases. One such remarkable and frequent type of conc- trated vortices is a vortex ring which constitutes a vortex tube closed into a t- oidal ring moving in a surrounding fluid like an isolated body out of contact with solid boundaries of the flow region if such boundaries exist. Formation and motion of vortex rings are important part of the dynamics of a continuum medium and have been studied for more than a century.
This book uses new ideas and language for understanding how self-organization and complexity trend toward increased efficiency. Different measures for efficiency from multiple disciplines are used to probe the ones that provide the most insight. One major goal is to seek a common framework to trace the increase of efficiency as a measure of the level of organization and evolutionary stage of a complex system. The chapters come from a satellite meeting hosted at the Conference on Complex Systems, in Cancun, 2017. The contributions will be peer-reviewed and contributors from outside the conference will be invited to submit chapters to ensure full coverage of the topics. This text will appeal to students and researchers working on complex systems and efficiency.
Written in the 1980s by one of the fathers of chaos theory, Otto E. Roessler, the manuscript presented in this volume eventually never got published. Almost 40 years later, it remains astonishingly at the forefront of knowledge about chaos theory and many of the examples discussed have never been published elsewhere. The manuscript has now been edited by Christophe Letellier - involved in chaos theory for almost three decades himself, as well as being active in the history of sciences - with a minimum of changes to the original text. Finally released for the benefit of specialists and non-specialists alike, this book is equally interesting from the historical and the scientific points of view: an unconventionally modern approach to chaos theory, it can be read as a classic introduction and short monograph as well as a collection of original insights into advanced topics from this field.
This book covers the work of Erik W. Aslaksen who continues to develop the view of society and its evolution published in earlier work - The Social Bond (Springer 2018), The Stability of Society (Springer 2020), and Measures of Social Evolution (Springer 2021), bringing together core material of that work with the results of recent investigations in order to present the evolution of society as an integrated and continuous story leading right up to the present time. A story of human action driven by our beliefs, desires, and an ideology arising out of our ability to transform and exploit our environment through the development and application of technology. The distinguishing feature of the work is the treatment of society as an information-processing system and applying the system methodology for handling complexity, as it is applied, e.g., in engineering. This focus on information is particularly pertinent in the current circumstances, where the world has arrived at a critical point in its history through the conjunction of a number of issues that appear to be spiralling out of control: Global warming and the associated climate change, the destruction of our environment through such processes as land clearing and industrialisation with associated loss of biodiversity, the rapidly increasing visibility of the inequality in the quality of life with associated tensions, and above all, the determination of the US-led Western alliance to cling to its hegemonial role, apparently at all cost. With the sophistication and proliferation of nuclear weapons, the latter has the potential to bring on the end of civilisation as we know it. The resolution of any of these issues depends on the information available to all parties involved, and hence, the availability and quality of information is seen as the crucial and overarching issue of the present time. A number of aspects of this issue, including the role of education, economic inequality, and the control of the media, are treated in some detail, and proposals for some small steps in the right direction are put forward. |
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