Thermodynamics : a dynamical systems approach / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov

• Autore: Haddad Wassim M. <1961->
• Pubblicazione: Princeton, : Princeton University Press, c2005
• Edizione: Course Book
• Descrizione fisica: 1 online resource (199 p.)
• Disciplina: 536/.7
• Soggetto topico: Thermodynamics - Mathematics; Differentiable dynamical systems
• Soggetto non controllato: 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; Mathematics; 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
• Classificazione: UG 1000
• Altri autori: ChellaboinaVijaySekhar <1970-> NersesovSergey G. <1976->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. [175]-183) and index.
• Nota di contenuto: Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. Dynamical System Theory -- Chapter 3. A Systems Foundation for Thermodynamics -- Chapter 4. Temperature Equipartition and the Kinetic Theory of Gases -- Chapter 5. Work, Heat, and the Carnot Cycle -- Chapter 6. Thermodynamic Systems with Linear Energy Exchange -- Chapter 7. Continuum Thermodynamics -- Chapter 8. Conclusion -- Bibliography -- Index
• Sommario/riassunto: 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.
• Titolo autorizzato: Thermodynamics
• ISBN: 1-68015-904-6; 1-282-15830-9; 9786612158308; 1-4008-2697-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910820305403321
• Lo trovi qui: Univ. Federico II
• Serie: Princeton series in applied mathematics.