LEADER 07103nam 22006852 450 001 9910452670903321 005 20151005020624.0 010 $a1-139-88875-7 010 $a1-139-57949-5 010 $a1-139-09516-1 010 $a1-139-57346-2 010 $a1-139-57092-7 010 $a1-139-56911-2 010 $a1-139-57267-9 010 $a1-283-63867-3 010 $a1-139-57001-3 035 $a(CKB)2550000000707810 035 $a(EBL)1025041 035 $a(OCoLC)812066766 035 $a(SSID)ssj0000721657 035 $a(PQKBManifestationID)11421708 035 $a(PQKBTitleCode)TC0000721657 035 $a(PQKBWorkID)10692969 035 $a(PQKB)10295068 035 $a(UkCbUP)CR9781139095167 035 $a(MiAaPQ)EBC1025041 035 $a(Au-PeEL)EBL1025041 035 $a(CaPaEBR)ebr10608463 035 $a(CaONFJC)MIL395113 035 $a(EXLCZ)992550000000707810 100 $a20110608d2012|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Road to Maxwell's demon /$fMeir Hemmo, Orly Shenker$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2012. 215 $a1 online resource (xii, 327 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a1-107-42432-1 311 $a1-107-01968-0 320 $aIncludes bibliographical references and index. 327 $a1. 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. 330 $aTime asymmetric phenomena are successfully predicted by statistical mechanics. Yet the foundations of this theory are surprisingly shaky. Its explanation for the ease of mixing milk with coffee is incomplete, and even implies that un-mixing them should be just as easy. In this book the authors develop a new conceptual foundation for statistical mechanics that addresses this difficulty. Explaining the notions of macrostates, probability, measurement, memory, and the arrow of time in statistical mechanics, they reach the startling conclusion that Maxwell's Demon, the famous perpetuum mobile, is consistent with the fundamental physical laws. Mathematical treatments are avoided where possible, and instead the authors use novel diagrams to illustrate the text. This is a fascinating book for graduate students and researchers interested in the foundations and philosophy of physics. 606 $aMaxwell's demon 606 $aSecond law of thermodynamics 606 $aStatistical thermodynamics 615 0$aMaxwell's demon. 615 0$aSecond law of thermodynamics. 615 0$aStatistical thermodynamics. 676 $a536/.71 700 $aHemmo$b Meir$01052224 702 $aShenker$b Orly 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910452670903321 996 $aThe Road to Maxwell's demon$92483287 997 $aUNINA LEADER 02166nam 2200541 450 001 9910788565103321 005 20170918164943.0 010 $a1-4704-2566-1 035 $a(CKB)3280000000039328 035 $a(SSID)ssj0001524394 035 $a(PQKBManifestationID)12642412 035 $a(PQKBTitleCode)TC0001524394 035 $a(PQKBWorkID)11477774 035 $a(PQKB)10523222 035 $a(MiAaPQ)EBC4832030 035 $a(RPAM)18393852 035 $a(PPN)197102840 035 $a(EXLCZ)993280000000039328 100 $a20170411h20152015 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 00$aAlgebra for secure and reliable communication modeling $eCIMPA Research School and Conference Algebra for Secure and Reliable Communication Modeling, October 1-13, 2012, Morelia, State of Michoaca?n, Mexico /$fMustapha Lahyane, Edgar Martinez-Moro, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2015. 210 4$dİ2015 215 $a1 online resource (243 pages) $ccolor illustrations, photographs 225 1 $aContemporary Mathematics,$x1098-3627 ;$v642 300 $a"This volume contains the proceedings of the CIMPA Research School and Conference on Algebra for Secure and Reliable Communication Modeling, held in Morelia, State of Michoaca?n, Mexico from October 1-13, 2012"--Preface. 311 $a1-4704-1018-4 320 $aIncludes bibliographical references at the end of each chapters. 410 0$aContemporary mathematics (American Mathematical Society) ;$v642. 606 $aSignal processing$xMathematics$vCongresses 606 $aGeometry, Algebraic$vCongresses 615 0$aSignal processing$xMathematics 615 0$aGeometry, Algebraic 676 $a621.382/20151274 686 $a11T71$a14G50$a14Q05$2msc 702 $aLahyane$b Mustapha$f1967- 702 $aMarti?nez-Moro$b Edgar 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788565103321 996 $aAlgebra for secure and reliable communication modeling$93673944 997 $aUNINA