Dynamical Systems Theory of Thermodynamics (eBook)

Wassim M. Haddad (Autor)

eBook Download: PDF

2019
744 Seiten
Princeton University Press (Verlag)
978-0-691-19259-8 (ISBN)

Infos

A brand-new conceptual look at dynamical thermodynamics This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics. In particular, the book uses system-theoretic ideas to bring coherence, clarity, and precision to an important and poorly understood classical area of science. The dynamical systems formalism captures all of the key aspects of thermodynamics, including its fundamental laws, while providing a mathematically rigorous formulation for thermodynamical systems out of equilibrium by unifying the theory of mechanics with that of classical thermodynamics.This book includes topics on nonequilibrium irreversible thermodynamics, Boltzmann thermodynamics, mass-action kinetics and chemical reactions, finite-time thermodynamics, thermodynamic critical phenomena with continuous and discontinuous phase transitions, information theory, continuum and stochastic thermodynamics, and relativistic thermodynamics.A Dynamical Systems Theory of Thermodynamics develops a postmodern theory of thermodynamics as part of mathematical dynamical systems theory. The book establishes a clear nexus between thermodynamic irreversibility, the second law of thermodynamics, and the arrow of time to further unify discreteness and continuity, indeterminism and determinism, and quantum mechanics and general relativity in the pursuit of understanding the most fundamental property of the universe-the entropic arrow of time.

Autor

Wassim M. Haddad is a professor in the School of Aerospace Engineering, the David Lewis Chair in Dynamical Systems and Control, and chair of the Flight Mechanics and Control Discipline, all at the Georgia Institute of Technology, where he also holds a joint appointment in the School of Electrical and Computer Engineering. He is the coauthor of numerous books, including Stability and Control of Large-Scale Dynamical Systems and Nonlinear Dynamical Systems and Control (both Princeton).

Produkt-Details

• Erscheint lt. Verlag: 4.6.2019
• Reihe/Serie: Princeton Series in Applied Mathematics
• Reihe/Serie: Princeton Series in Applied Mathematics
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
• Schlagworte: Available energy (particle collision) • balance equation • Black hole thermodynamics • Boltzmann constant • Boltzmann's entropy formula • Bose–Einstein statistics • BoseЅinstein statistics • Carnot's theorem (thermodynamics) • catalysis • chaos theory • chemical kinetics • chemical potential • chemical thermodynamics • classical mechanics • conservation law • Conservation of Energy • cosmological constant • Degrees of freedom (mechanics) • Diathermal wall • Diffusion Equation • Dynamical system • Dynamical systems theory • Eddy (fluid dynamics) • Einstein Field Equations • Einstein relation (kinetic theory) • Einstein tensor • electrochemical potential • Electroweak interaction • Energy condition • Energy–momentum relation • EnergyЭomentum relation • Entropy • Entropy Production • Entropy rate • Equilibrium Thermodynamics • Equipartition theorem • Fermi–Dirac statistics • Fermion • FermiЄirac statistics • first law of thermodynamics • Fluctuation Theorem • Galilean Transformation • gas laws • Gauge Theory • Geodesics in general relativity • Gravitational constant • Gravitational Field • gravitational potential • hamiltonian mechanics • Harmonic oscillator • heat transfer • internal energy • kinetic theory of gases • Langevin Equation • Law of Mass Action • laws of thermodynamics • Lorentz covariance • Lorentz transformation • Markov process • mass–energy equivalence • MassХnergy equivalence • Microstate (statistical mechanics) • Minkowski space • Moduli (physics) • Monatomic gas • Newton's law of cooling • Newton's law of universal gravitation • non-equilibrium thermodynamics • Parabolic partial differential equation • Penrose–Hawking singularity theorems • PenroseЈawking singularity theorems • Photon • Quantum fluctuation • quantum mechanics • Relativistic Doppler Effect • relativistic dynamics • relativistic mechanics • Reversible process (thermodynamics) • Scalar (physics) • second law of thermodynamics • Special relativity • Stability Theory • State-space Representation • Statistical Mechanics • Statistical Physics • stochastic differential equation • Stress–energy tensor • StressХnergy tensor • Subatomic particle • Superconductivity • Superfluidity • Supergravity • Temperature • theoretical physics • theory of heat • Theory of relativity • thermal equilibrium • Thermodynamic Equilibrium • Thermodynamic process • thermodynamics • Thermodynamic state • Thermodynamic system • Thermodynamic Temperature • thermohaline circulation • Third law of thermodynamics • Zeroth law of thermodynamics
• ISBN-10: 0-691-19259-6 / 0691192596
• ISBN-13: 978-0-691-19259-8 / 9780691192598