Kooperativer Bibliotheksverbund

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Umfang: 1 online resource (various pagings) : , illustrations.

ISBN: 0-7503-1589-X , 0-7503-1590-3

Serie: [IOP release 5]

Inhalt: Entropy Beyond the Second Law presents a coherent formulation of all aspects of thermodynamics and statistical mechanics with entropy as the unifying theme. This includes formulating equilibrium theory and explaining the role of the Second Law in establishing the equilibrium state. It also establishes the foundations of non-equilibrium theory by generalizing the concept of entropy in an appropriate way. Finally, it addresses the relationship between classical and quantum statistical mechanics by invoking the collapse of the wave function into entropy states. A secondary purpose is to increase the understanding of entropy and the Second Law, and to correct misapprehensions and errors that have arisen over the years.

Anmerkung: "Version: 20180501"--Title page verso. , 1. Entropy counts -- 1.1. Entropy, weight, probability, and information -- 1.2. A combinatorial example -- 1.3. Entropy and the second law -- 1.4. Nature of probability and randomness , 2. Entropy varies -- 2.1. Entropy of an isolated system -- 2.2. Heat reservoir and the Helmholtz free energy -- 2.3. Various reservoirs -- 2.4. Thermodynamic second derivatives -- 2.5. Probability and fluctuation theory , 3. Driven by entropy -- 3.1. Entropy for non-equilibrium systems -- 3.2. Pure parity fluctuation analysis -- 3.3. Mixed parity fluctuations -- 3.4. Steady heat flow -- 3.5. Variational hydrodynamics -- 3.6. Stochastic, dissipative hydrodynamic equations -- 3.7. Non-equilibrium pattern formation , 4. Entropy in motion -- 4.1. Brownian motion -- 4.2. Fokker-Planck equation -- 4.3. Stochastic calculus -- 4.4. Generalized equipartition theorem -- 4.5. Liouville's approximation -- 4.6. Generalized Langevin equation , 5. In phase with entropy -- 5.1. Phase space and Hamilton's equations of motion -- 5.2. Entropy of a point in phase space -- 5.3. Canonical equilibrium system -- 5.4. Stochastic, dissipative equations of motion -- 5.5. Equilibrium phase space averages -- 5.6. Sub-system entropy as a functional of particle densities -- 5.7. Time correlation and van Hove functions , 6. Time for entropy -- 6.1. Reservoir entropy -- 6.2. Stochastic, dissipative equations of motion -- 6.3. Odd projection of the dynamic entropy -- 6.4. Driven Brownian motion -- 6.5. Path entropy and trajectory probability -- 6.6. Path entropy for mechanical work , 7. Entropy collapses -- 7.1. Conventional quantum statistical average -- 7.2. Uniform weight density of wave space -- 7.3. Canonical equilibrium system -- 7.4. Expansion for quantum statistical mechanics -- 7.5. Quantum ideal gas -- 7.6. The classical world. , Also available in print. , Mode of access: World Wide Web. , System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

Weitere Ausg.: ISBN 0-7503-1588-1

Sprache: Englisch

DOI: 10.1088/978-0-7503-1590-6

URL: http://iopscience.iop.org/book/978-0-7503-1590-6

UID:

Umfang: 1 online resource (various pagings) : , illustrations.

ISBN: 0-7503-1589-X , 0-7503-1590-3

Serie: [IOP release 5]

Inhalt: Entropy Beyond the Second Law presents a coherent formulation of all aspects of thermodynamics and statistical mechanics with entropy as the unifying theme. This includes formulating equilibrium theory and explaining the role of the Second Law in establishing the equilibrium state. It also establishes the foundations of non-equilibrium theory by generalizing the concept of entropy in an appropriate way. Finally, it addresses the relationship between classical and quantum statistical mechanics by invoking the collapse of the wave function into entropy states. A secondary purpose is to increase the understanding of entropy and the Second Law, and to correct misapprehensions and errors that have arisen over the years.

Anmerkung: "Version: 20180501"--Title page verso. , 1. Entropy counts -- 1.1. Entropy, weight, probability, and information -- 1.2. A combinatorial example -- 1.3. Entropy and the second law -- 1.4. Nature of probability and randomness , 2. Entropy varies -- 2.1. Entropy of an isolated system -- 2.2. Heat reservoir and the Helmholtz free energy -- 2.3. Various reservoirs -- 2.4. Thermodynamic second derivatives -- 2.5. Probability and fluctuation theory , 3. Driven by entropy -- 3.1. Entropy for non-equilibrium systems -- 3.2. Pure parity fluctuation analysis -- 3.3. Mixed parity fluctuations -- 3.4. Steady heat flow -- 3.5. Variational hydrodynamics -- 3.6. Stochastic, dissipative hydrodynamic equations -- 3.7. Non-equilibrium pattern formation , 4. Entropy in motion -- 4.1. Brownian motion -- 4.2. Fokker-Planck equation -- 4.3. Stochastic calculus -- 4.4. Generalized equipartition theorem -- 4.5. Liouville's approximation -- 4.6. Generalized Langevin equation , 5. In phase with entropy -- 5.1. Phase space and Hamilton's equations of motion -- 5.2. Entropy of a point in phase space -- 5.3. Canonical equilibrium system -- 5.4. Stochastic, dissipative equations of motion -- 5.5. Equilibrium phase space averages -- 5.6. Sub-system entropy as a functional of particle densities -- 5.7. Time correlation and van Hove functions , 6. Time for entropy -- 6.1. Reservoir entropy -- 6.2. Stochastic, dissipative equations of motion -- 6.3. Odd projection of the dynamic entropy -- 6.4. Driven Brownian motion -- 6.5. Path entropy and trajectory probability -- 6.6. Path entropy for mechanical work , 7. Entropy collapses -- 7.1. Conventional quantum statistical average -- 7.2. Uniform weight density of wave space -- 7.3. Canonical equilibrium system -- 7.4. Expansion for quantum statistical mechanics -- 7.5. Quantum ideal gas -- 7.6. The classical world. , Also available in print. , Mode of access: World Wide Web. , System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

Weitere Ausg.: ISBN 0-7503-1588-1

Sprache: Englisch

DOI: 10.1088/978-0-7503-1590-6