07569nam a2200733 i 45000010014000000030004000140050017000180060019000350070015000540080041000690200025001100200024001350200025001590200027001840240035002110350025002460350022002710400040002930500027003330720016003600720023003761000034003992450159004332460111005922500020007032640098007233000071008213360021008923370026009133380032009394900027009714900034009985000043010325040041010755050235011165050291013515050338016425050275019805050418022555050306026735050425029795050285034045050225036895050289039145200792042035210277049955300029052725380036053015380078053375450921054155880055063366500020063916500027064116500034064386500042064726500058065147100061065727760049066338300031066828300034067138560059067479420012068069990017068189780750354073IOP20251030124217.0m    eo  d        cr cn |||m|||a230502s2023    enka   fob    000 0 eng d  a9780750354073qebook  a9780750354066qmobi  z9780750354059qprint  z9780750354080qmyPrint7 a10.1088/978-0-7503-5407-32doi  a(CaBNVSL)thg00083604  a(OCoLC)1378317584  aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQC318.E57bA784 2023eb 7aPHH2bicssc 7aSCI0650002bisacsh1 aAttard, Phil,eauthor.99670510aEntropy beyond the second law :bthermodynamics and statistical mechanics for equilibrium, non-equilibrium, classical, and quantum systems /cPhil Attard.30aThermodynamics and statistical mechanics for equilibrium, non-equilibrium, classical, and quantum systems.  aSecond edition. 1aBristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :bIOP Publishing,c[2023]  a1 online resource (various pagings) :billustrations (some color).  atext2rdacontent  aelectronic2isbdmedia  aonline resource2rdacarrier1 a[IOP release $release]1 aIOP ebooks. [2023 collection]  a"Version: 20230401"--Title page verso.  aIncludes bibliographical references.0 a 1. Entropy counts : universal nature of the statistical entropy -- 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 randomness8 a2. Variational formulation of equilibrium thermodynamics via entropy and free energy -- 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 theory8 a3. The entropy for transitions and non-equilibrium systems -- 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 formation8 a4. Entropy for Brownian motion, fluctuations, and stochastic trajectories -- 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 equation8 a5. Equilibrium statistical mechanics and entropy in classical phase space -- 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 functions8 a6. Non-equilibrium statistical mechanics and path 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 work8 a7. Quantum statistical mechanics as entropy collapse in classical phase space -- 7.1. Conventional quantum statistical average -- 7.2. Uniform weight density of wave space -- 7.3. Canonical equilibrium system -- 7.4. Quantum statistical mechanics in classical phase space -- 7.5. Expansions for non-commutativity and symmetrization -- 7.6. Quantum ideal gas -- 7.7. Permutation loop expansion -- 7.8. The classical world8 a8. Entropy in Bose-Einstein condensation and the [lambda]-transition -- 8.1. Introduction -- 8.2. Ideal boson approach to the [lambda]-transition -- 8.3. Ideal bosons : exact enumeration -- 8.4. The [lambda]-transition for interacting bosons -- 8.5. Mixed loops -- 8.6. Discussion8 a9. Superfluidity : flow without entropy dissipation -- 9.1. Introduction -- 9.2. Nature of the Bose-Einstein condensed state -- 9.3. Interactions on the far side -- 9.4. Entropy of superfluidity -- 9.5. Fountain pressure8 a10. High temperature superconductivity : electrons paired by entropy -- 10.1. Introduction -- 10.2. General formulation and analysis -- 10.3. Results for 3He -- 10.4. Comparison of fermion pairs in BCS and the present theory -- 10.5. Monotonic-oscillatory transition in charge fluids.3 aEntropy Beyond the Second Law presents a coherent formulation of all aspects of thermodynamics and statistical mechanics with entropy as the unifying theme. This second edition includes the novel entropic treatment of Bose-Einstein condensation, superfluidity, and high temperature superconductivity. The new physical insights and the quantitative agreement with experimental measurement provide concrete examples of the universal approach based on entropy advocated in the book. Thermodynamics and statistical mechanics are important subjects, and students, academics, and researchers require the fundamental concepts to be clearly and concisely presented, as part of a unified whole, and the mathematical derivations to be explained with detailed physical explanation and applications.  aThe book will appeal to graduate students, lecturers, academics, and scientific researchers in the fields of thermodynamics, statistical mechanics, condensed matter physics, theoretical chemistry, dynamics, many-body systems, condensed matter physics or quantum mechanics.  aAlso available in print.  aMode of access: World Wide Web.  aSystem requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.  aPhil Attard researches broadly in statistical mechanics, quantum mechanics, thermodynamics, and colloid science. He has held academic positions in Australia, Europe, and North America, and he was a Professorial Research Fellow of the Australian Research Council. He has authored some 120 papers, 10 review articles, and 4 books, with over 7000 citations. As an internationally recognized researcher, he has made seminal contributions to the theory of electrolytes and the electric double layer, to measurement techniques for atomic force microscopy and colloid particle interactions, and to computer simulation and integral equation algorithms for condensed matter. Attard is perhaps best known for his discovery of nanobubbles and for establishing their nature. Recent research has focused on non-equilibrium systems and entropy as the basis for non-equilibrium thermodynamics, hydrodynamics, and chemical kinetics.0 aTitle from PDF title page (viewed on May 2, 2023). 0aEntropy.959664 0aThermodynamics.966400 0aStatistical mechanics.969101 7aThermodynamics & heat.2bicssc996706 7aSCIENCE / Mechanics / Thermodynamics.2bisacsh9967072 aInstitute of Physics (Great Britain),epublisher.91770208iPrint version:z9780750354059z9780750354080 0aIOP (Series).pRelease 23. 0aIOP ebooks.p2023 collection.40uhttps://iopscience.iop.org/book/mono/978-0-7503-5407-3  cE-Books  c68412d68412