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Books > Science & Mathematics > Physics > Thermodynamics & statistical physics
In this book, the authors give an up-to-date account of
thermoluminescence (TL) and other thermally stimulated phenomena.
Although most recent experimental results of TL in different
materials are described in some detail, the main emphasis in the
present book is on general processes, and the approach is more
theoretical. Thus the details of the possible processes which can
take place during the excitation of the sample, and during its
heating, are carefully analysed. The methods for analysing TL glow
curves are critically discussed, and recommendations as to their
application are made. Also discussed is the expected behavior of
these phenomena as functions of the experimental parameters, for
example, dose of excitation. The consequences of the main
applications of TL (for example, radiation dosimetry) are also
discussed in detail as are the similarities and dissimilarities of
other thermally stimulated phenomena, and the simultaneous
measurements of the latter and TL.
This volume looks afresh at the life and works of Lord Kelvin
including his standing and relationships with Charles Darwin, T. S
Huxley and the X-club, thereby throwing new light on the
nineteenth-century conflict between the British energy and biology
specialists. It focuses on two principal issues. Firstly, there is
the contribution made by Kelvin to the formulation of the Laws of
Thermodynamics, both personal and in the content of the scientific
communications exchanged with other workers, such as Joule and
Clausius. Secondly, there is Kelvin's impact on the wider field of
science such as thermoelectricity and geology (determination of the
age of the earth). Of late a number of studies and initiatives,
including the Centenary celebrations of Kelvin's death and exhibits
such as that of the 'Revolutionary Scientist' in the Hunterian
Museum, Glasgow, have been undertaken aiding the redefinition of
Kelvin's greatness and achievements. The book also raises awareness
to 'improve our approach to the teaching of elementary
thermodynamics by attempting to empathise with Kelvin's
perspective'.It is completed by a full biography, overviews of
various monuments to his memory, and short 'Stories in Pictures' on
the Atlantic cable, Maxwell's Demon, the universities associated
with the development of thermodynamics and the Royal Society of
Edinburgh. Scientists and engineers with an interest in
thermodynamics and anyone interested in the work of Lord Kelvin
will find benefit in Kelvin, Thermodynamics and the Natural World.
Recent years have shown important and spectacular convergences
between techniques traditionally used in theoretical physics and
methods emerging from modern mathematics (combinatorics,
probability theory, topology, algebraic geometry, etc). These
techniques, and in particular those of low-dimensional statistical
models, are instrumental in improving our understanding of emerging
fields, such as quantum computing and cryptography, complex
systems, and quantum fluids. This book sets these issues into a
larger and more coherent theoretical context than is currently
available. For instance, understanding the key concepts of quantum
entanglement (a measure of information density) necessitates a
thorough knowledge of quantum and topological field theory, and
integrable models. To achieve this goal, the lectures were given by
international leaders in the fields of exactly solvable models in
low dimensional condensed matter and statistical physics.
This book presents a clear and readable description of one of the
most mysterious concepts of physics: Entropy. It contains a
self-learning kit that guides the reader in understanding the
concepts of entropy. In the first part, the reader is asked to play
the familiar twenty-Question game. Once the reader feels
comfortable with playing this game and acquires proficiency in
playing the game effectively (intelligently), he or she will be
able to capture the elusive and used-to-be mysterious concept of
entropy.There will be no more speculative or arbitrary
interpretations, nor "older" or "modern" views of entropy. This
book will guide readers in choosing their own interpretation of
entropy.
The study of network theory is a highly interdisciplinary field,
which has emerged as a major topic of interest in various
disciplines ranging from physics and mathematics, to biology and
sociology. This book promotes the diverse nature of the study of
complex networks by balancing the needs of students from very
different backgrounds. It references the most commonly used
concepts in network theory, provides examples of their applications
in solving practical problems, and clear indications on how to
analyse their results. In the first part of the book, students and
researchers will discover the quantitative and analytical tools
necessary to work with complex networks, including the most basic
concepts in network and graph theory, linear and matrix algebra, as
well as the physical concepts most frequently used for studying
networks. They will also find instruction on some key skills such
as how to proof analytic results and how to manipulate empirical
network data. The bulk of the text is focused on instructing
readers on the most useful tools for modern practitioners of
network theory. These include degree distributions, random
networks, network fragments, centrality measures, clusters and
communities, communicability, and local and global properties of
networks. The combination of theory, example and method that are
presented in this text, should ready the student to conduct their
own analysis of networks with confidence and allow teachers to
select appropriate examples and problems to teach this subject in
the classroom.
Electrons and ions have been used for over 40 years as probes to
investigate the fascinating properties of helium liquids. The study
of the transport properties of microscopic charge carriers sheds
light on superfluidity, on quantum hydrodynamics, and on the
interactions with collective excitations in quantum liquids. The
structure of the probes themselves depends on their coupling with
the liquid environment in a way that gives further insight into the
microscopic behavior of the liquid in different thermodynamic
conditions, such as in the superfluid phase, in the normal phase,
or near the liquid-vapor critical point. This book provides a
comprehensive review of the experiments and theories of transport
properties of charge carriers in liquid helium. It is a subject
about which no other monograph exists to date. The book is intended
for graduate and postgraduate students and for condensed matter
physicists who will benefit from its completeness and accuracy.
The description of emerging collective phenomena and
self-organization in systems composed of large numbers of
individuals has gained increasing interest from various research
communities in biology, ecology, robotics and control theory, as
well as sociology and economics. Applied mathematics is concerned
with the construction, analysis and interpretation of mathematical
models that can shed light on significant problems of the natural
sciences as well as our daily lives. To this set of problems
belongs the description of the collective behaviours of complex
systems composed by a large enough number of individuals. Examples
of such systems are interacting agents in a financial market,
potential voters during political elections, or groups of animals
with a tendency to flock or herd. Among other possible approaches,
this book provides a step-by-step introduction to the mathematical
modelling based on a mesoscopic description and the construction of
efficient simulation algorithms by Monte Carlo methods. The
arguments of the book cover various applications, from the analysis
of wealth distributions, the formation of opinions and choices, the
price dynamics in a financial market, to the description of cell
mutations and the swarming of birds and fishes. By means of methods
inspired by the kinetic theory of rarefied gases, a robust approach
to mathematical modelling and numerical simulation of multi-agent
systems is presented in detail. The content is a useful reference
text for applied mathematicians, physicists, biologists and
economists who want to learn about modelling and approximation of
such challenging phenomena.
This book collects lecture courses and seminars given at the Les
Houches Summer School 2010 on "Quantum Theory: From Small to Large
Scales." Fundamental quantum phenomena appear on all scales, from
microscopic to macroscopic. Some of the pertinent questions include
the onset of decoherence, the dynamics of collective modes, the
influence of external randomness and the emergence of dissipative
behaviour. Our understanding of such phenomena has been advanced by
the study of model systems and by the derivation and analysis of
effective dynamics for large systems and over long times. In this
field, research in mathematical physics has regularly contributed
results that were recognized as essential in the physics community.
During the last few years, the key questions have been sharpened
and progress on answering them has been particularly strong. This
book reviews the state-of-the-art developments in this field and
provides the necessary background for future studies. All chapters
are written from a pedagogical perspective, making the book
accessible to master and PhD students and researchers willing to
enter this field.
In recent years, scientists and researchers have been continually
searching for efficient and effective ways to harness solar energy
for heat and power production. The development of solar
technologies and thermal systems are a prevalent area of study, as
they represent a vital step in fully optimizing the potential of
solar energy. Unfortunately, research is still lacking on the
development and application of these solar thermal systems.
Modeling and Optimization of Solar Thermal Systems: Emerging
Research and Opportunities provides emerging research exploring the
theoretical and practical aspects of optimizing the performance of
solar thermal technologies using multicriteria decision-making
techniques. Featuring coverage on a broad range of topics such as
parabolic trough collectors, hybrid solar energy, and thermal
technology, this book is ideally designed for practitioners,
engineers, academicians, researchers, students, industry
professionals, and educators seeking current research on modern
modeling methods of solar thermal systems.
Many students at undergraduate level struggle with the basic
concepts of thermodynamics and statistical physics such as entropy,
phase space, y-space, micro-canonical, canonical and grand
canonical ensembles, statistical weight (thermodynamic
probability), accessible states, density of states, partition
function. In this book the author has made every effort to explain
these basic concepts and notions in the simplest possible way,
keeping in mind the limitations and difficulties of an average
student. The book begins with the kinetic theory of gases and
transport phenomena and gives the students a thorough grounding in
the fundamental aspects of the topics such as Maxwell's law of
distribution of molecular speeds, mean free path, viscosity,
thermal conduction and diffusion. Next, the topics on equation of
state and critical constant are discussed. The chapters from 4 - 9
are devoted to the development of thermodynamic concepts and the
application of the laws of thermodynamics to the thermodynamic
processes. A sufficient number of solved examples enable the
students to test their conceptual understanding and analytical
skills. A comprehensive discussion of on the failure of classical
theory of radiation and the emergence of quantum concepts viz. the
particle nature of radiation is presented in the chapters on
radiations. Part II of the book presents a lucid and systematic
exposition of the fundamental principles of the most fascinating,
exciting, stimulating and challenging subject - statistical
physics. The understanding of statistical physics requires
knowledge of quantum mechanics at introductory level and a little
bit of mathematics of undergraduate level. Though this book
provides a self-contained study material, the knowledge of more
advanced mathematical tools will make the learning process of
statistical physics easier.
The purpose of this textbook is to bring together, in a
self-contained introductory form, the scattered material in the
field of stochastic processes and statistical physics. It offers
the opportunity of being acquainted with stochastic, kinetic and
nonequilibrium processes. Although the research techniques in these
areas have become standard procedures, they are not usually taught
in the normal courses on statistical physics. For students of
physics in their last year and graduate students who wish to gain
an invaluable introduction on the above subjects, this book is a
necessary tool.
Quantum mechanics forms the foundation of all modern physics,
including atomic, nuclear, and molecular physics, the physics of
the elementary particles, condensed matter physics. Modern
astrophysics also relies heavily on quantum mechanics. Quantum
theory is needed to understand the basis for new materials, new
devices, the nature of light coming from stars, the laws which
govern the atomic nucleus, and the physics of biological systems.
As a result the subject of this book is a required course for most
physics graduate students. While there are many books on the
subject, this book targets specifically graduate students and it is
written with modern advances in various fields in mind. Many
examples treated in the various chapters as well as the emphasis of
the presentation in the book are designed from the perspective of
such problems. For example, the book begins by putting the
Schroedinger equation on a spatial discrete lattice and the
continuum limit is also discussed, inspired by Hamiltonian lattice
gauge theories. The latter and advances in quantum simulations
motivated the inclusion of the path integral formulation. This
formulation is applied to the imaginary-time evolution operator to
project the exact ground state of the harmonic oscillator as is
done in quantum simulations. As an example of how to take advantage
of symmetry in quantum mechanics, one-dimensional periodic
potentials are discussed, inspired by condensed matter physics.
Atoms and molecules are discussed within mean-field like treatment
(Hartree-Fock) and how to go beyond it. Motivated by the recent
intense activity in condensed matter and atomic physics to study
the Hubbard model, the electron correlations in the hydrogen
molecule are taken into account by solving the two-site Hubbard
model analytically. Using the canonical Hamiltonian quantization of
quantum electrodynamics, the photons emerge as the quanta of the
normal modes, in the same way as the phonons emerge in the
treatment of the normal modes of the coupled array of atoms. This
is used later to treat the interaction of radiation with atomic
matter.
Over the course of nearly half a century, Sam Edwards has led the
field of condensed matter physics into new directions, ranging from
the electronic and statistical properties of disordered materials
to the mechanical properties of granular materials. Along the way,
he has provided seminal contributions to fluid mechanics, polymer
science, surface science and statistical mechanics. This volume
celebrates the immense scope of his influence by presenting a
collection of original articles by recognized leaders in
theoretical physics, including two Nobel Laureates and a Fields
Medalist, which describe the genesis, evolution and future
prospects of the various sub-fields of condensed matter theory,
along with reprints of a selection of Edwards' seminal papers that
helped give birth to the subject. 'Stealing the Gold', Edwards'
favourite caricature of the relationship between theoretical
physicists and Nature, will be of singular interest to graduate
students looking for an overview of some of the most exciting areas
of theoretical physics, as well as to researchers in condensed
matter physics looking for a comprehensive, broad and uniquely
incisive snapshot of their subject at the dawn of the 21st century.
This book tells the story of the power generation gas turbine from
the perspective of one of the leading companies in the field over a
period of nearly 100 years, written by an engineer. Especially in
times of imminent global economic crises it appears to be
worthwhile to reflect on real economic values based on engineering
ingenuity and enduring management of technological leadership.
Though the book is primarily designed as a technical history of the
BBC/ABB/Alstom power generation gas turbines, its scope is
sufficiently broad to cover general development trends, including
parallel competitor activities. A special benefit is the historical
breakdown to the gas turbine component level, so that the book
actually outlines the development of axial compressors from early
beginnings, the progress in combustion technology towards
extraordinary low emission values and that of axial turbines with
special emphasis on early turbine cooling innovations. The sheer
length of certain engineering developments over several decades
allows interesting historic observations and deductions on inherent
business mechanisms, the effects of technology preparations and
organisational consequences. A look into the mirror of the past
provides revelations on the impact of far-reaching business
decisions. 2017 Winner of the Historian Engineer Award of the ASME
(American Society of Mechanical Engineers
Kinetic Theory of granular Gases provides an introduction to the
rapidly developing theory of dissipative gas dynamics as it has
been developed mainly during the past decade. The book is aimed at
readers from the advanced undergraduate level onwards and leads up
to the present state of research. The text is self-contained, in
the sense that no mathematical or physical knowledge is required
that goes beyond standard undergraduate physics courses. The
material is adequate for a one-semester course and contains chapter
summaries as well as exercises with detailed solutions. Special
emphasis is put on a microscopically consistent description of
pairwise particle collisions which leads to an impact-velocity
dependent coefficient of restitution. The description of the
many-particle system, based on the Boltzmann equation, starts with
the derivation of the velocity distribution function, followed by
the investigation of self-diffusion and Brownian motion. Using
hydrodynamical methods, transport processes and self-organized
structure formulation are studies. An appendix gives a brief
introduction to event-driven molecular dynamics. A second appendix
describes a novel mathematical technique for the derivation of the
kinetic properties which allows for the application of computer
algebra. The book is accompanied by a web page where the molecular
dynamics program as well as the computer-algebra programs are
provided.
The occurrence of fractional statistics has been discovered in more
and more quantum field theory models, including some of the most
geometrical and canonical ones. In a remarkable case, the
fractional quantum statistics of quasiparticles in the fractional
quantized Hall effect (FQHE) contributes to the understanding of
states found there. Very recent work has indicated that similar
possibilities arise for two-dimensional films in certain states of
liquid 3He. Perhaps most exciting, although quite speculative at
this moment, are recent attempts to apply fractional statistics to
spin systems, and specifically to the behaviour of the
2-dimensional copper oxide layers that seem to be critical to the
phenomenon of high-temperature superconductivity. It has recently
been shown that fractional statistics automatically implies
superconductivity of a qualitatively new kind. This collection of
reprints with comprehensive commentary will serve as a valuable
reference for those interested in the subject but have found it
difficult to acquire basic knowledge, or a coherent view of the
whole, due to the scattered literature available at present.
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