|
|
Books > Science & Mathematics > Physics > Thermodynamics & statistical physics
Thermodynamics: Principles Characterizing Physical and Chemical
Processes, Fifth Edition is an authoritative guide on the physical
and chemical processes based on classical thermodynamic principles.
Emphasis is placed on fundamental principles, with a combination of
theory and practice that demonstrates their applications in a
variety of disciplines. Revised and updated to include new material
and novel formulations, this edition features a new chapter on
algebraic power laws and Fisher information theory, along with
detailed updates on irreversible phenomena, Landau theory,
self-assembly, Caratheodory's theorem, and the effects of
externally applied fields. Drawing on the experience of its expert
author, this book is a useful tool for both graduate students,
professional chemists, and physicists who wish to acquire a more
sophisticated overview of thermodynamics and related subject
matter.
Entropy of Complex Processes and Systems formalizes our
understanding of many complex processes, including the development
of the methodology of analytical computation of complex processes
as applied in many industries, such as ore processing, or more
generally, in areas of natural sciences. The adequacy of the
results of these calculations is confirmed by numerous experimental
data obtained both on pilots and industrial facilities. The book
also provides a thorough analysis of the underlying physical
foundations of entropy performed from new standpoints that are of
interest to theoreticians studying contemporary expositions.
Advanced Analytic Control Techniques for Thermal Systems with Heat
Exchangers presents the latest research on sophisticated analytic
and control techniques specific for Heat Exchangers (HXs) and heat
Exchanger Networks (HXNs), such as Stability Analysis, Efficiency
of HXs, Fouling Effect, Delay Phenomenon, Robust Control, Algebraic
Control, Geometric Control, Optimal Control, Fuzzy Control and
Artificial Intelligence techniques. Editor Libor Pekar and his team
of global expert contributors combine their knowledge and
experience of investigated and applied systems and processes in
this thorough review of the most advanced networks, analyzing their
dynamics, efficiency, transient features, physical properties,
performance, feasibility, flexibility and controllability. The
structural and dynamic analyses and control approaches of HXNs, as
well as energy efficient manipulation techniques are discussed, in
addition to the design of the control systems through the full life
cycle. This equips the reader with an understanding of the relevant
theory in a variety of settings and scenarios and the confidence to
apply that knowledge to solve problems in an academic or
professional setting. Graduate students and early-mid career
professionals require a robust understanding of how to suitably
design thermal systems with HXs and HXNs to achieve required
performance levels, which this book offers in one consolidated
reference. All examples and solved problems included have been
tried and tested, and these combined with the research driven
theory provides professionals, researchers and students with the
most recent techniques to maximize the energy efficiency and
sustainability of existing and new thermal power systems.
With a foreword by Freeman Dyson, the handbook brings together
leading mathematicians and physicists to offer a comprehensive
overview of random matrix theory, including a guide to new
developments and the diverse range of applications of this
approach.
In part one, all modern and classical techniques of solving random
matrix models are explored, including orthogonal polynomials, exact
replicas or supersymmetry. Further, all main extensions of the
classical Gaussian ensembles of Wigner and Dyson are introduced
including sparse, heavy tailed, non-Hermitian or multi-matrix
models. In the second and larger part, all major applications are
covered, in disciplines ranging from physics and mathematics to
biology and engineering. This includes standard fields such as
number theory, quantum chaos or quantum chromodynamics, as well as
recent developments such as partitions, growth models, knot theory,
wireless communication or bio-polymer folding.
The handbook is suitable both for introducing novices to this area
of research and as a main source of reference for active
researchers in mathematics, physics and engineering.
It was not until 1971 that the authority for defining scientific
units, the General Conference of Weights and Measures got around to
defining the unit that is the basis of chemistry (the mole, or the
quantity of something). Yet for all this tardiness in putting the
chemical sciences on a sound quantitative basis, chemistry is an
old and venerable subject and one naturally asks the question, why?
Well, the truth is that up until the mid-1920s, many physicists did
not believe in the reality of molecules. Indeed, it was not until
after the physics community had accepted Ernest Rutherford's 1913
solar-system-like model of the atom, and the quantum mechanical
model of the coupling of electron spins in atoms that physicists
started to take seriously the necessity of explaining the chemical
changes that chemists had been observing, investigating and
recording since the days of the alchemists.
High speed catamaran and multihull high speed marine vessel have
become very popular in the last two decades. The catamaran has
become the vessel of choice for the majority of high speed ferry
operators worldwide. There have been significant advances in
structural materials, and structural design has been combined with
higher power density and fuel efficient engines to deliver ferries
of increasing size. The multihull has proven itself to be a
suitable configuration for active power projection across oceans as
well as for coastal patrol and protection, operating at high speedd
for insertion or retrieval with a low energy capability. At present
there is no easily accessible material covering the combination of
hydrodynamics, aerodynamics, and design issues including
structures, powering and propulsion for these vehicles. Coverage in
High Speed Catamarans and Multihulls includes an introduction to
the history, evolution, and development of catamarans, followed by
a theoretical calculation of wave resistance in shallow and deep
water, as well as the drag components of the multihull. A
discussion of vessel concept design describing design
characteristics, empirical regression for determination of
principal dimensions in preliminary design, general arrangement,
and methods is also included. The book concludes with a discussion
of experimental future vehicles currently in development including
the small waterplane twin hull vessels, wave piercing catamarans,
planing catamarans, tunnel planing catamarans and other multihull
vessels.
Nonlinear Time Series Analysis with R provides a practical guide to
emerging empirical techniques allowing practitioners to diagnose
whether highly fluctuating and random appearing data are most
likely driven by random or deterministic dynamic forces. It joins
the chorus of voices recommending 'getting to know your data' as an
essential preliminary evidentiary step in modelling. Time series
are often highly fluctuating with a random appearance. Observed
volatility is commonly attributed to exogenous random shocks to
stable real-world systems. However, breakthroughs in nonlinear
dynamics raise another possibility: highly complex dynamics can
emerge endogenously from astoundingly parsimonious deterministic
nonlinear models. Nonlinear Time Series Analysis (NLTS) is a
collection of empirical tools designed to aid practitioners detect
whether stochastic or deterministic dynamics most likely drive
observed complexity. Practitioners become 'data detectives'
accumulating hard empirical evidence supporting their modelling
approach. This book is targeted to professionals and graduate
students in engineering and the biophysical and social sciences.
Its major objectives are to help non-mathematicians - with limited
knowledge of nonlinear dynamics - to become operational in NLTS;
and in this way to pave the way for NLTS to be adopted in the
conventional empirical toolbox and core coursework of the targeted
disciplines. Consistent with modern trends in university
instruction, the book makes readers active learners with hands-on
computer experiments in R code directing them through NLTS methods
and helping them understand the underlying logic (please see
www.marco.bittelli.com). The computer code is explained in detail
so that readers can adjust it for use in their own work. The book
also provides readers with an explicit framework - condensed from
sound empirical practices recommended in the literature - that
details a step-by-step procedure for applying NLTS in real-world
data diagnostics.
This book contains an extensive illustration of use of finite
difference method in solving the boundary value problem
numerically. A wide class of differential equations has been
numerically solved in this book. Starting with differential
equations of elementary functions like hyperbolic, sine and cosine,
we have solved those of special functions like Hermite, Laguerre
and Legendre. Those of Airy function, of stationary localised
wavepacket, of the quantum mechanical problem of a particle in a 1D
box, and the polar equation of motion under gravitational
interaction have also been solved. Mathematica 6.0 has been used to
solve the system of linear equations that we encountered and to
plot the numerical data. Comparison with known analytic solutions
showed nearly perfect agreement in every case. On reading this
book, readers will become adept in using the method.
Solid Fuels and Heavy Hydrocarbon Liquids: Thermal Characterisation
and Analysis, Second Edition integrates the developments that have
taken place since publication of the first edition in 2006. This
updated material includes new insights that help unify the
thermochemical reactions of biomass and coal, as well as new
developments in analytical techniques, including new applications
in size exclusion chromatography, several mass spectrometric
techniques, and new applications of nuclear magnetic spectroscopy
to the characterization of heavy hydrocarbon liquids The topics
covered are essential for the energy and fuels research community,
including academics, students, and research engineers working in
the power, oil and gas, and renewable energy industries.
Advances in Heat Transfer fills the information gap between
regularly scheduled journals and university-level textbooks by
providing in-depth review articles that are from a broader scope
than in traditional journals or texts. The articles, which serve as
a broad review for experts in the field, are also of great interest
to non-specialists who need to keep up-to-date on the results of
the latest research. This serial is essential reading for all
mechanical, chemical, and industrial engineers working in the field
of heat transfer, or in graduate schools or industry.
Thermodynamic Approaches in Engineering Systems responds to the
need for a synthesizing volume that throws light upon the extensive
field of thermodynamics from a chemical engineering perspective
that applies basic ideas and key results from the field to chemical
engineering problems. This book outlines and interprets the most
valuable achievements in applied non-equilibrium thermodynamics
obtained within the recent fifty years. It synthesizes nontrivial
achievements of thermodynamics in important branches of chemical
and biochemical engineering. Readers will gain an update on what
has been achieved, what new research problems could be stated, and
what kind of further studies should be developed within specialized
research.
In Thermal Physics: Thermodynamics and Statistical Mechanics for
Scientists and Engineers, the fundamental laws of thermodynamics
are stated precisely as postulates and subsequently connected to
historical context and developed mathematically. These laws are
applied systematically to topics such as phase equilibria, chemical
reactions, external forces, fluid-fluid surfaces and interfaces,
and anisotropic crystal-fluid interfaces. Statistical mechanics is
presented in the context of information theory to quantify entropy,
followed by development of the most important ensembles:
microcanonical, canonical, and grand canonical. A unified treatment
of ideal classical, Fermi, and Bose gases is presented, including
Bose condensation, degenerate Fermi gases, and classical gases with
internal structure. Additional topics include paramagnetism,
adsorption on dilute sites, point defects in crystals, thermal
aspects of intrinsic and extrinsic semiconductors, density matrix
formalism, the Ising model, and an introduction to Monte Carlo
simulation. Throughout the book, problems are posed and solved to
illustrate specific results and problem-solving techniques.
This book gathers the lecture notes of courses given at the 2010
summer school in theoretical physics in Les Houches, France,
Session XCIV. Written in a pedagogical style, this volume
illustrates how the field of quantum gases has flourished at the
interface between atomic physics and quantum optics, condensed
matter physics, nuclear and high-energy physics, non-linear physics
and quantum information. The physics of correlated atoms in optical
lattices is covered from both theoretical and experimental
perspectives, including the Bose and Fermi Hubbard models, and the
description of the Mott transition. Few-body physics with cold
atoms has made spectacular progress and exact solutions for 3-body
and 4-body problems have been obtained. The remarkable collisional
stability of weakly bound molecules is at the core of the studies
of molecular BEC regimes in Fermi gases. Entanglement in quantum
many-body systems is introduced and is a key issue for quantum
information processing. Rapidly rotating quantum gases and
optically induced gauge fields establish a remarkable connection
with the fractional quantum Hall effect for electrons in
semiconductors. Dipolar quantum gases with long range and
anisotropic interaction lead to new quantum degenerate regimes in
atoms with large magnetic moments, or electrically aligned polar
molecules. Experiments with ultracold fermions show how quantum
gases serve as ''quantum simulators'' of complex condensed matter
systems through measurements of the equation of state. Similarly,
the recent observation of Anderson localization of matter waves in
a disordered optical potential makes a fruitful link with the
behaviour of electrons in disordered systems.
Integrable models have a fascinating history with many important
discoveries that dates back to the famous Kepler problem of
planetary motion. Nowadays it is well recognised that integrable
systems play a ubiquitous role in many research areas ranging from
quantum field theory, string theory, solvable models of statistical
mechanics, black hole physics, quantum chaos and the AdS/CFT
correspondence, to pure mathematics, such as representation theory,
harmonic analysis, random matrix theory and complex geometry.
Starting with the Liouville theorem and finite-dimensional
integrable models, this book covers the basic concepts of
integrability including elements of the modern geometric approach
based on Poisson reduction, classical and quantum factorised
scattering and various incarnations of the Bethe Ansatz.
Applications of integrability methods are illustrated in vast
detail on the concrete examples of the Calogero-Moser-Sutherland
and Ruijsenaars-Schneider models, the Heisenberg spin chain and the
one-dimensional Bose gas interacting via a delta-function
potential. This book has intermediate and advanced topics with
details to make them clearly comprehensible.
|
|