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000890200 019__ $$a1105177785
000890200 020__ $$a9783030041496$$q(electronic book)
000890200 020__ $$a3030041492$$q(electronic book)
000890200 020__ $$z9783030041489
000890200 0247_ $$a10.1007/978-3-030-04149-6$$2doi
000890200 0247_ $$a10.1007/978-3-030-04
000890200 035__ $$aSP(OCoLC)on1101622121
000890200 035__ $$aSP(OCoLC)1101622121$$z(OCoLC)1105177785
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000890200 049__ $$aISEA
000890200 050_4 $$aQC311.5
000890200 08204 $$a536/.70727$$223
000890200 1001_ $$aMatsoukas, Themis,$$eauthor.
000890200 24510 $$aGeneralized statistical thermodynamics :$$bthermodynamics of probability distributions and stochastic processes /$$cThemis Matsoukas.
000890200 264_1 $$aCham, Switzerland :$$bSpringer,$$c2018.
000890200 300__ $$a1 online resource (xxi, 363 pages) :$$billustrations.
000890200 336__ $$atext$$btxt$$2rdacontent
000890200 337__ $$acomputer$$bc$$2rdamedia
000890200 338__ $$aonline resource$$bcr$$2rdacarrier
000890200 4901_ $$aUnderstanding complex systems,$$x1860-0832
000890200 4901_ $$aSpringer complexity
000890200 504__ $$aIncludes bibliographical references and index.
000890200 5050_ $$aChapter1: Evolution of Ideas on Entropy.- Chapter2: The Cluster Ensemble.- Chapter3: Thermodynamic Limit (ThL).- Chapter4: The Most Probable Distribution in the Continuous Limit.-Chapter5: Phase Transitions -- The Giant Cluster.- Chapter6: The Bicomponent Ensemble.- Chapter7: Generalized Thermodynamics.- Chapter8: Irreversible Clustering.- Chapter9: Kinetic Gelation.- Chapter10: Fragmentation and Shattering.
000890200 506__ $$aAccess limited to authorized users.
000890200 520__ $$aThis book gives the definitive mathematical answer to what thermodynamics really is: a variational calculus applied to probability distributions. Extending Gibbs's notion of ensemble, the Author imagines the ensemble of all possible probability distributions and assigns probabilities to them by selection rules that are fairly general. The calculus of the most probable distribution in the ensemble produces the entire network of mathematical relationships we recognize as thermodynamics. The first part of the book develops the theory for discrete and continuous distributions while the second part applies this thermodynamic calculus to problems in population balance theory and shows how the emergence of a giant component in aggregation, and the shattering transition in fragmentation may be treated as formal phase transitions. While the book is intended as a research monograph, the material is self-contained and the style sufficiently tutorial to be accessible for self-paced study by an advanced graduate student in such fields as physics, chemistry, and engineering.
000890200 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed May 17, 2019).
000890200 650_0 $$aStatistical thermodynamics.
000890200 830_0 $$aUnderstanding complex systems.
000890200 830_0 $$aSpringer complexity.
000890200 852__ $$bebk
000890200 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-04149-6$$zOnline Access$$91397441.1
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000890200 980__ $$aBIB
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