Leseprobe
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A Dynamical Systems Theory of Thermodynamics
Wassim M. Haddad
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Naturwissenschaften, Medizin, Informatik, Technik / Naturwissenschaften allgemein
Beschreibung
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.
Kundenbewertungen
Available energy (particle collision), Fluctuation theorem, Harmonic oscillator, Superfluidity, Einstein tensor, Mass–energy equivalence, Stress–energy tensor, Hamiltonian mechanics, Conservation of energy, Black hole thermodynamics, Scalar (physics), Monatomic gas, Diathermal wall, Kinetic theory of gases, Relativistic dynamics, Third law of thermodynamics, Theory of heat, Electroweak interaction, Thermal equilibrium, Fermion, Laws of thermodynamics, Carnot's theorem (thermodynamics), Zeroth law of thermodynamics, Chemical kinetics, Equipartition theorem, Gas laws, Reversible process (thermodynamics), Thermodynamic system, Thermodynamics, Thermodynamic temperature, Special relativity, Energy–momentum relation, Thermodynamic equilibrium, Lorentz covariance, Lorentz transformation, Non-equilibrium thermodynamics, Statistical mechanics, Thermodynamic state, Gravitational potential, Theoretical physics, Statistical physics, Quantum mechanics, Boltzmann constant, Newton's law of universal gravitation, Dynamical system, Relativistic mechanics, Moduli (physics), Thermohaline circulation, Gravitational field, Boltzmann's entropy formula, Newton's law of cooling, Chemical thermodynamics, Einstein relation (kinetic theory), Diffusion equation, Microstate (statistical mechanics), Einstein field equations, Second law of thermodynamics, Theory of relativity, First law of thermodynamics, Cosmological constant, Heat transfer, State-space representation, Fermi–Dirac statistics, Quantum fluctuation, Temperature, Gauge theory, Electrochemical potential, Thermodynamic process, Classical mechanics, Equilibrium thermodynamics