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题名/责任者:

The Road to Maxwell's demon : conceptual foundations of statistical mechanics / Meir Hemmo, Orly R. Shenker.

出版发行项:

Cambridge ; New York : Cambridge University Press, c2012.

ISBN:

9781107019683 :

载体形态项:

xii, 327 pages : illustrations ; 24 cm.

个人责任者:

Hemmo, Meir.

附加个人名称:

Shenker, Orly.

个人名称主题:

Maxwell, James Clerk,-1831-1879.

论题主题:

Maxwell's demon.

论题主题:

Second law of thermodynamics.

论题主题:

Statistical thermodynamics.

中图法分类号:

O414

书目附注:

Includes bibliographical references and index.

内容附注:

1. Introduction -- 2. Thermodynamics -- 2.1. The experience of asymmetry in time -- 2.2. The Law of Conservation of Energy -- 2.3. The Law of Approach to Equilibrium -- 2.4. The Second Law of Thermodynamics -- 2.5. The status of the laws of thermodynamics -- 3. Classical mechanics -- 3.1. The fundamental theory of the world -- 3.2. Introducing classical mechanics -- 3.3. Mechanical states -- 3.4. Time evolution of mechanical states -- 3.5. Thermodynamic magnitudes -- 3.6. A mechanical no-go theorem -- 3.7. The ergodic approach -- 3.8. Conclusion -- 4. Time -- 4.1. Introduction: why mechanics cannot underwrite thermodynamics -- 4.2. Classical kinematics -- 4.3. The direction of time and the direction of velocity in time -- 4.4. The description of mechanical states -- 4.5. Velocity reversal -- 4.6. Retrodiction -- 4.7. Time reversal and time-reversal invariance -- 4.8. Why the time-reversal invariance of classical mechanics matters -- 5. Macrostates -- 5.1. The physical nature of macrostates -- 5.2. How do macrostates come about? -- 5.3. Explaining thermodynamics with macrostates -- 5.4. The dynamics of macrostates -- 5.5. The physical origin of thermodynamic macrostates -- 5.6. Boltzmann's macrostates -- 5.7. Maxwell-Boltzmann distribution -- 5.8. The observer in statistical mechanics -- 5.9. Counterfactual observers -- 6. Probability -- 6.1. Introduction -- 6.2. Probability in statistical mechanics -- 6.3. Choice of measure in statistical mechanics -- 6.4. Measure of a macrostate and its probability -- 6.5. Transition probabilities without blobs -- 6.6. Dependence on observed history? -- 6.7. The spin echo experiments -- 6.8. Robustness of transition probabilities -- 6.9. No probability over initial conditions -- 7. Entropy -- 7.1. Introduction -- 7.2. Entropy -- 7.3. The distinction between entropy and probability -- 7.4. Equilibrium in statistical mechanics -- 7.5. Law of Approach to Equilibrium -- 7.6. Second Law of Thermodynamics -- 7.7. Boltzmann's H-theorem -- 7.8. Loschmidt's reversibility objection -- 7.9. Poincare's recurrence theorem -- 7.10. Boltzmann's combinatorial argument -- 7.11. Back to Boltzmann's equation: Lanford's theorem -- 7.12. Conclusion -- 8. Typicality -- 8.1. Introduction -- 8.2. The explanatory arrow in statistical mechanics -- 8.3. Typicality -- 8.4. Are there natural measures? -- 8.5. Typical initial conditions -- 8.6. Measure-1 theorems and typicality -- 8.7. Conclusion -- 9. Measurement -- 9.1. Introduction -- 9.2. What is measurement in classical mechanics? -- 9.3. Collapse in classical measurement -- 9.4. State preparation -- 9.5. The shadows approach -- 9.6. Entropy -- 9.7. Status of the observer -- 10. The past -- 10.1. Introduction -- 10.2. The problem of retrodiction -- 10.3. The Past Hypothesis: memory and measurement -- 10.4. The Reliability Hypothesis -- 10.5. Past low entropy hypothesis -- 10.6. Remembering the future -- 10.7. Problem of initial improbable state -- 10.8. The dynamics of the Past Hypothesis -- 10.9. Local and global Past Hypotheses -- 10.10. Past Hypothesis and physics of memory -- 10.11. Memory in a time-reversed universe -- 11. Gibbs -- 11.1. Introduction -- 11.2. The Gibbsian method in equilibrium -- 11.3. Gibbsian method in terms of blobs and macrostates -- 11.4. Gibbsian equilibrium probability distributions -- 11.5. The approach to equilibrium -- 12. Erasure -- 12.1. Introduction -- 12.2. Why there is no microscopic erasure -- 12.3. What is a macroscopic erasure? -- 12.4. Necessary and sufficient conditions for erasure -- 12.5. Logic and entropy -- 12.6. Another logically irreversible operation -- 12.7. Logic and entropy: a model -- 12.8. What does erasure erase? -- 12.9. Conclusion -- 13. Maxwell's Demon -- 13.1. Thermodynamic and statistical mechanical demons -- 13.2. Szilard's insight -- 13.3. Entropy reduction: measurement -- 13.4. Efficiency and predictability -- 13.5. Completing the cycle of operation: erasure -- 13.6. The Liberal Stance -- 13.7. Conclusion -- Appendix A Szilard's engine -- Appendix B Quantum mechanics -- B.1. Albert's approach -- B.2. Bohmian mechanics -- B.3. A quantum mechanical Maxwellian Demon.

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