Approaches to entropy. ([2019])

• Record Type: Book
• Further Information: Note: Jeremy R. H. Tame.
• Authors: Tame, Jeremy R. H
• Contents: 1 General thermodynamics 1.1 Mechanics1.2 The First Law: conservation of energy1.3 The Ideal Gas2 Carnot and Clausius 2.1 The Carnot cycle2.2 The Second Law2.3 The Gibbs free energy G2.4 The Helmholtz free energy F2.5 Available work2.6 Maxwell's relations2.7 The importance of entropy2.8 Summary3 Maxwell and Boltzmann 3.1 The Maxwell-Boltzmann distribution3.2 The relationship between entropy and probability3.3 Uses of the partition function3.4 The H theorem3.5 Early critics of the H theorem3.6 Modern critics of the H theorem3.7 Conclusions4 Gibbs 4.1 General notions4.2 Phase4.3 The Liouville theorem4.4 The canonical distribution4.5 Analogies with thermodynamics4.6 Gibbs Entropy4.7 Variation of energy4.8 Chemical potential4.8.1 Small systems4.9 Summary 5 Partition functions and ensembles 5.1 Microcanonical ensemble5.2 Canonical ensemble5.3 Grand canonical ensemble5.4 Isobaric ensemble5.5 Molecular partition function5.6 Distinguishable particles5.7 Quantum statistics5.8 Rotational partition function of linear molecules6 Planck 6.1 Radiation6.2 Coarse graining6.3 The Sackur-Tetrode equation6.4 Gibbs versus Boltzmann6.5 Entropy is not anthropomorphic7 Einstein 7.1 Kinetic theory of thermal equilibrium7.2 The mechanical meaning of Einstein's h7.3 A mechanical theory of the second law7.4 The significance of κ7.5 Application to radiation7.6 The entropy of radiation7.7 Summary8 Shannon 8.1 Probability and information8.2 Maximum entropy8.3 Bayes's theorem8.4 Maxwell's demon8.5 Difficulties with Szilard's principle8.6 Szilard's engine and quantum measurements8.7 Landauer's principle8.8 Subjectivity8.9 The fluctuation theorem8.10 Summary 9 Nernst 9.1 Chemical potential9.2 The equilibrium constant9.3 Fixing a zero point to entropy9.4 Modern forms of the Third Law9.5 Attaining absolute zero9.6 Negative temperatures10 On Entropy as Mixed-up-ness 10.1 Gibbs's paradox10.2 Gibbs's paradox from a statistical viewpoint10.3 von Neumann entropy10.4 Entropy as information10.5 Biological systems10.6 Economics10.7 Conclusions11. ProblemsA. Exact differentials and integrating factorsB. Classical mechanicsC. ErgodicityD. Equipartition of energy.
• Publisher Details: Singapore : Springer
• Publication Date: 2019
• Extent: 1 online resource (xiii, 202 pages), illustrations (some color)
• Subjects: 536/.73; Engineering; Entropy; SCIENCE / Mechanics / Thermodynamics; Science -- Mechanics -- Dynamics -- Thermodynamics; Science -- Life Sciences -- Biochemistry; Technology & Engineering -- Mechanical; Thermodynamics & heat; Biochemistry; Mechanics of fluids; Thermodynamics; Biochemistry; Hydraulic engineering; Engineering thermodynamics; Electronic books
• Languages: English
• ISBNs: 9789811323157; 9811323151
• Related ISBNs: 9789811323140; 9811323143
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed September 6, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.