LEADER 04000nam 22006495 450 001 9910324955003321 005 20231110152134.0 010 $a3-030-04149-2 024 7 $a10.1007/978-3-030-04149-6 035 $a(CKB)4100000008160632 035 $a(DE-He213)978-3-030-04149-6 035 $a(MiAaPQ)EBC6302625 035 $a(PPN)236522590 035 $a(EXLCZ)994100000008160632 100 $a20190508d2018 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeneralized Statistical Thermodynamics $eThermodynamics of Probability Distributions and Stochastic Processes /$fby Themis Matsoukas 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XXI, 363 p. 57 illus., 55 illus. in color.) 225 1 $aUnderstanding Complex Systems,$x1860-0832 311 $a3-030-04148-4 327 $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. 330 $aThis book gives the definitive mathematical answer to what thermodynamics really is: a variational calculus applied to probability distributions. Extending Gibbs's notion of ensemble, the Author imagines the ensemble of all possible probability distributions and assigns probabilities to them by selection rules that are fairly general. The calculus of the most probable distribution in the ensemble produces the entire network of mathematical relationships we recognize as thermodynamics. The first part of the book develops the theory for discrete and continuous distributions while the second part applies this thermodynamic calculus to problems in population balance theory and shows how the emergence of a giant component in aggregation, and the shattering transition in fragmentation may be treated as formal phase transitions. While the book is intended as a research monograph, the material is self-contained and the style sufficiently tutorial to be accessible for self-paced study by an advanced graduate student in such fields as physics, chemistry, and engineering. 410 0$aUnderstanding Complex Systems,$x1860-0832 606 $aStatistical physics 606 $aCoding theory 606 $aInformation theory 606 $aProbabilities 606 $aChemical engineering 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 606 $aCoding and Information Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/I15041 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aIndustrial Chemistry/Chemical Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/C27000 615 0$aStatistical physics. 615 0$aCoding theory. 615 0$aInformation theory. 615 0$aProbabilities. 615 0$aChemical engineering. 615 14$aStatistical Physics and Dynamical Systems. 615 24$aCoding and Information Theory. 615 24$aProbability Theory and Stochastic Processes. 615 24$aIndustrial Chemistry/Chemical Engineering. 676 $a530.13 676 $a536.70727 700 $aMatsoukas$b Themis$4aut$4http://id.loc.gov/vocabulary/relators/aut$0835229 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910324955003321 996 $aGeneralized Statistical Thermodynamics$92528717 997 $aUNINA