國立虎尾科技大學 |

Generalized Statistical Thermodynamics = Thermodynamics of Probability Distributions and Stochastic Processes /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Generalized Statistical Thermodynamics/ by Themis Matsoukas.
其他題名:	Thermodynamics of Probability Distributions and Stochastic Processes /
作者:	Matsoukas, Themis.
面頁冊數:	XXI, 363 p. 57 illus., 55 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Statistical physics. -
電子資源:	https://doi.org/10.1007/978-3-030-04149-6
ISBN:	9783030041496

Generalized Statistical Thermodynamics = Thermodynamics of Probability Distributions and Stochastic Processes /
Matsoukas, Themis.

Generalized Statistical ThermodynamicsThermodynamics of Probability Distributions and Stochastic Processes /[electronic resource] :by Themis Matsoukas. - 1st ed. 2018. - XXI, 363 p. 57 illus., 55 illus. in color.online resource. - Understanding Complex Systems,1860-0832. - Understanding Complex Systems,.

Chapter1: 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.

This 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.

ISBN: 9783030041496

Standard No.: 10.1007/978-3-030-04149-6doiSubjects--Topical Terms:

528048
Statistical physics.

LC Class. No.: QC174.7-175.36

Dewey Class. No.: 530.1

Generalized Statistical Thermodynamics = Thermodynamics of Probability Distributions and Stochastic Processes /
LDR:02921nam a22003975i 4500 001 990582
003 DE-He213
005 20200704052016.0
007 cr nn 008mamaa
008 201225s2018 gw | s |||| 0|eng d
020 $a 9783030041496 $9 978-3-030-04149-6
024 7 $a 10.1007/978-3-030-04149-6 $2 doi
035 $a 978-3-030-04149-6
050 4 $a QC174.7-175.36
072 7 $a PHS $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHS $2 thema
082 0 4 $a 530.1 $2 23
100 1 $a Matsoukas, Themis. $e author. $0 (orcid)0000-0002-0097-2673 $1 https://orcid.org/0000-0002-0097-2673 $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1282267
245 1 0 $a Generalized Statistical Thermodynamics $h [electronic resource] : $b Thermodynamics of Probability Distributions and Stochastic Processes / $c by Themis Matsoukas.
250 $a 1st ed. 2018.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a XXI, 363 p. 57 illus., 55 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Understanding Complex Systems, $x 1860-0832
505 0 $a Chapter1: 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.
520 $a This 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.
650 0 $a Statistical physics. $3 528048
650 0 $a Coding theory. $3 561460
650 0 $a Information theory. $3 595305
650 0 $a Probabilities. $3 527847
650 0 $a Chemical engineering. $3 555952
650 1 4 $a Statistical Physics and Dynamical Systems. $3 1114011
650 2 4 $a Coding and Information Theory. $3 669784
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
650 2 4 $a Industrial Chemistry/Chemical Engineering. $3 671153
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030041489
776 0 8 $i Printed edition: $z 9783030041502
830 0 $a Understanding Complex Systems, $x 1860-0832 $3 1254579
856 4 0 $u https://doi.org/10.1007/978-3-030-04149-6
912 $a ZDB-2-PHA
912 $a ZDB-2-SXP
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Physics and Astronomy (R0) (SpringerNature-43715)