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This book places thermodynamics on a system-theoretic foundation so as to harmonize it with classical mechanics. Using the highest standards of exposition and rigor, the authors develop a novel formulation of thermodynamics that can be viewed as a moderate-sized system theory as compared to statistical thermodynamics. This middle-ground theory involves deterministic large-scale dynamical system models that bridge the gap between classical and statistical thermodynamics. The authors' theory is motivated by the fact that a discipline as cardinal as thermodynamics--entrusted with some of the most perplexing secrets of our universe--demands far more than physical mathematics as its underpinning. Even though many great physicists, such as Archimedes, Newton, and Lagrange, have humbled us with their mathematically seamless eurekas over the centuries, this book suggests that a great many physicists and engineers who have developed the theory of thermodynamics seem to have forgotten that mathematics, when used rigorously, is the irrefutable pathway to truth. This book uses system theoretic ideas to bring coherence, clarity, and precision to an extremely important and poorly understood classical area of science.
Thermodynamics --- Differentiable dynamical systems. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Physics --- Heat --- Heat-engines --- Quantum theory --- Mathematics. --- Addition. --- Adiabatic process. --- Applied mathematics. --- Arthur Eddington. --- Asymmetry. --- Available energy (particle collision). --- Axiom. --- Balance equation. --- Banach space. --- Boltzmann's entropy formula. --- Brillouin scattering. --- Carnot cycle. --- Classical mechanics. --- Clausius (crater). --- Compact space. --- Conservation law. --- Conservation of energy. --- Constant of integration. --- Continuous function (set theory). --- Continuous function. --- Control theory. --- Deformation (mechanics). --- Derivative. --- Diathermal wall. --- Diffeomorphism. --- Differentiable function. --- Diffusion process. --- Dimension (vector space). --- Dimension. --- Dissipation. --- Dot product. --- Dynamical system. --- Emergence. --- Energy density. --- Energy level. --- Energy storage. --- Energy. --- Entropy. --- Equation. --- Equations of motion. --- Equilibrium point. --- Equilibrium thermodynamics. --- Equipartition theorem. --- Existential quantification. --- First law of thermodynamics. --- Hamiltonian mechanics. --- Heat capacity. --- Heat death of the universe. --- Heat flux. --- Heat transfer. --- Homeomorphism. --- Hydrogen atom. --- Ideal gas. --- Inequality (mathematics). --- Infimum and supremum. --- Infinitesimal. --- Initial condition. --- Instant. --- Internal energy. --- Irreversible process. --- Isolated system. --- Kinetic theory of gases. --- Laws of thermodynamics. --- Linear dynamical system. --- Lipschitz continuity. --- Local boundedness. --- Lyapunov function. --- Lyapunov stability. --- Mathematical optimization. --- Molecule. --- Non-equilibrium thermodynamics. --- Operator norm. --- Probability. --- Quantity. --- Reversible process (thermodynamics). --- Second law of thermodynamics. --- Semi-infinite. --- Smoothness. --- State variable. --- State-space representation. --- Statistical mechanics. --- Steady state. --- Summation. --- Supply (economics). --- Systems theory. --- Temperature. --- Theorem. --- Theoretical physics. --- Theory. --- Thermal conduction. --- Thermal equilibrium. --- Thermodynamic equilibrium. --- Thermodynamic process. --- Thermodynamic state. --- Thermodynamic system. --- Thermodynamic temperature. --- Thermodynamics. --- Time evolution. --- Zeroth law of thermodynamics.
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About 120 years ago, James Clerk Maxwell introduced his now legendary hypothetical "demon" as a challenge to the integrity of the second law of thermodynamics. Fascination with the demon persisted throughout the development of statistical and quantum physics, information theory, and computer science--and linkages have been established between Maxwell's demon and each of these disciplines. The demon's seductive quality makes it appealing to physical scientists, engineers, computer scientists, biologists, psychologists, and historians and philosophers of science. Until now its important source material has been scattered throughout diverse journals.This book brings under one cover twenty-five reprints, including seminal works by Maxwell and William Thomson; historical reviews by Martin Klein, Edward Daub, and Peter Heimann; information theoretic contributions by Leo Szilard, Leon Brillouin, Dennis Gabor, and Jerome Rothstein; and innovations by Rolf Landauer and Charles Bennett illustrating linkages with the limits of computation. An introductory chapter summarizes the demon's life, from Maxwell's illustration of the second law's statistical nature to the most recent "exorcism" of the demon based on a need periodically to erase its memory. An annotated chronological bibliography is included.Originally published in 1990.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Thermodynamics. --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Physics --- Heat --- Heat-engines --- Quantum theory --- Maxwell's demon. --- Adiabatic process. --- Automaton. --- Available energy (particle collision). --- Billiard-ball computer. --- Black hole information paradox. --- Black hole thermodynamics. --- Black-body radiation. --- Boltzmann's entropy formula. --- Boyle's law. --- Calculation. --- Carnot's theorem (thermodynamics). --- Catalysis. --- Chaos theory. --- Computation. --- Copying. --- Creation and annihilation operators. --- Digital physics. --- Dissipation. --- Distribution law. --- Domain wall. --- EPR paradox. --- Energy level. --- Entropy of mixing. --- Entropy. --- Exchange interaction. --- Expectation value (quantum mechanics). --- Extrapolation. --- Fair coin. --- Fermi–Dirac statistics. --- Gibbs free energy. --- Gibbs paradox. --- Guessing. --- Halting problem. --- Hamiltonian mechanics. --- Heat engine. --- Heat. --- Helmholtz free energy. --- Ideal gas. --- Idealization. --- Information theory. --- Instant. --- Internal energy. --- Irreversible process. --- James Prescott Joule. --- Johnson–Nyquist noise. --- Kinetic theory of gases. --- Laws of thermodynamics. --- Least squares. --- Loschmidt's paradox. --- Ludwig Boltzmann. --- Maxwell–Boltzmann distribution. --- Mean free path. --- Measurement. --- Mechanical equivalent of heat. --- Microscopic reversibility. --- Molecule. --- Negative temperature. --- Negentropy. --- Newton's law of universal gravitation. --- Nitrous oxide. --- Non-equilibrium thermodynamics. --- Old quantum theory. --- Particle in a box. --- Perpetual motion. --- Photon. --- Probability. --- Quantity. --- Quantum limit. --- Quantum mechanics. --- Rectangular potential barrier. --- Result. --- Reversible computing. --- Reversible process (thermodynamics). --- Richard Feynman. --- Rolf Landauer. --- Rudolf Clausius. --- Scattering. --- Schrödinger equation. --- Second law of thermodynamics. --- Self-information. --- Spontaneous process. --- Standard state. --- Statistical mechanics. --- Superselection. --- Temperature. --- Theory of heat. --- Theory. --- Thermally isolated system. --- Thermodynamic equilibrium. --- Thermodynamic system. --- Thought experiment. --- Turing machine. --- Ultimate fate of the universe. --- Uncertainty principle. --- Unitarity (physics). --- Van der Waals force. --- Wave function collapse. --- Work output.
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