MARC Record from marc_columbia

LEADER: 05843cam a2200589 i 4500
001 16614164
005 20220627133332.0
006 m o d
007 cr cnu---unuuu
008 180313s2018 flu ob 001 0 eng d
035 $a(OCoLC)on1028553207
035 $a(NNC)16614164
040 $aN$T$beng$erda$epn$cN$T$dN$T$dNLE$dEBLCP$dOCLCF$dTYFRS$dOCLCQ$dOCLCO
020 $a9780429493492$q(electronic bk.)
020 $a0429493495$q(electronic bk.)
020 $z9780201554090
035 $a(OCoLC)1028553207
050 4 $aQC175.16.P5$bG65 2018
072 7 $aSCI$x024000$2bisacsh
072 7 $aSCI$x041000$2bisacsh
072 7 $aSCI$x055000$2bisacsh
082 04 $a530.4/74$223
049 $aZCUA
100 1 $aGoldenfeld, Nigel.
245 10 $aLectures on phase transitions and the renormalization group /$cNigel Goldenfeld.
264 1 $aBoca Raton :$bCRC Press,$c2018.
300 $a1 online resource
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aFrontiers in physics ;$vv. 85
588 0 $aOnline resource; title from PDF title page (EBSCO, viewed March 15, 2018)
504 $aIncludes bibliographical references and index.
505 0 $aCover; Half Title; Title Page; Copyright Page; Dedication; Editor's Foreword; Table of Contents; Preface; Chapter 1: Introduction; 1.1 Scaling and Dimensional Analysis; 1.2 Power Laws in Statistical Physics; 1.2.1 Liquid Gas Critical Point; 1.2.2 Magnetic Critical Point; 1.2.3 Superfluid Transition in 4He; 1.2.4 Self-Avoiding Walk; 1.2.5 Dynamic Critical Phenomena; 1.3 Some Important Questions; 1.4 Historical Development; Exercises; Chapter 2: How Phase Transitions Occur in Principle; 2.1 Review of Statistical Mechanics; 2.2 The Thermodynamic Limit
505 8 $a2.2.1 Thermodynamic Limit in a Charged System2.2.2 Thermodynamic Limit for Power Law Interactions; 2.3 Phase Boundaries and Phase Transition; 2.3.1 Ambiguity in the Definition of Phase Boundary; 2.3.2 Types of Phase Transition; 2.3.3 Finite Size Effects and the Correlation Length; 2.4 The Role of Models; 2.5 The Ising Model; 2.6 Analytic Properties of the Ising Model; 2.6.1 Convex Functions; 2.6.2 Convexity and the Free Energy Density; 2.7 Symmetry Properties of the Ising Model; 2.7.1 Time Reversal Symmetry; 2.7.2 Sub-Lattice Symmetry; 2.8 Existence of Phase Transitions
505 8 $a2.8.1 Zero Temperature Phase Diagram2.8.2 Phase Diagram at Non-Zero Temperature: d = 1; 2.8.3 Phase Diagram at Non-Zero Temperature: d = 2; 2.8.4 Impossibility of Phase Transitions; 2.9 Spontaneous Symmetry Breaking; 2.9.1 Probability Distribution; 2.9.2 Continuous Symmetry; 2.10 Ergodicity Breaking; 2.10.1 Illustrative Example; 2.10.2 Symmetry and Its Implications for Ergodicity Breaking; 2.10.3 Example of Replica Symmetry Breaking: Rubber; 2.10.4 Order Parameters and Overlaps in a Classical Spin Glass; 2.10.5 Replica Formalism for Constrained Systems; 2.11 Fluids; 2.12 Lattice Gases
505 8 $a2.12.1 Lattice Gas Thermodynamics from the Ising Model2.12.2 Derivation of Lattice Gas Model from the Configurational Sum; 2.13 Equivalence in Statistical Mechanics; 2.14 Miscellaneous Remarks; 2.14.1 History of the Thermodynamic Limit; 2.14.2 Do Quantum Effects Matter?; Exercises; Chapter 3: How Phase Transitions Occur in Practice; 3.1 Ad Hoc Solution Methods; 3.1.1 Free Boundary Conditions and H = 0; 3.1.2 Periodic Boundary Conditions and H = 0; 3.1.3 Recursion Method for H = 0; 3.1.4 Effect of Boundary Conditions; 3.2 The Transfer Matrix; 3.3 Phase Transitions; 3.4 Thermodynamic Properties
505 8 $a3.5 Spatial Correlations3.5.1 Zero Field: Ad Hoc Method; 3.5.2 Existence of Long Range Order; 3.5.3 Transfer Matrix Method; 3.6 Low Temperature Expansion; 3.6.1 d> 1; 3.6.2 d = 1; 3.7 Mean Field Theory; 3.7.1 Weissâ#x80;#x99; Mean Field Theory; 3.7.2 Spatial Correlations; 3.7.3 How Good Is Mean Field Theory?; Exercises; Chapter 4: Critical Phenomena in Fluids; 4.1 Thermodynamics; 4.1.1 Thermodynamic Potentials; 4.1.2 Phase Diagram; 4.1.3 Landauâ#x80;#x99;s Symmetry Principle; 4.2 Two-Phase Coexistence; 4.2.1 Fluid at Constant Pressure; 4.2.2 Fluid at Constant Temperature; 4.2.3 Maxwellâ#x80;#x99;s Equal Area Rule
520 3 $aCovering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book is widely used both for core graduate statistical mechanics courses as well as for more specialized courses. Emphasizing understanding and clarity rather than technical manipulation, these lectures de-mystify the subject and show precisely "how things work." Goldenfeld keeps in mind a reader who wants to understand why things are done, what the results are, and what in principle can go wrong. The book reaches both experimentalists and theorists, students and even active researchers, and assumes only a prior knowledge of statistical mechanics at the introductory graduate level. Advanced, never-before-printed topics on the applications of renormalization group far from equilibrium and to partial differential equations add to the uniqueness of this book
650 0 $aPhase transformations (Statistical physics)
650 0 $aRenormalization group.
650 6 $aTransitions de phase.
650 6 $aGroupe de renormalisation.
650 7 $aSCIENCE$xEnergy.$2bisacsh
650 7 $aSCIENCE$xMechanics$xGeneral.$2bisacsh
650 7 $aSCIENCE$xPhysics$xGeneral.$2bisacsh
650 7 $aPhase transformations (Statistical physics)$2fast$0(OCoLC)fst01060410
650 7 $aRenormalization group.$2fast$0(OCoLC)fst01094654
655 4 $aElectronic books.
830 0 $aFrontiers in physics ;$vv. 85.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio16614164$zTaylor & Francis eBooks
852 8 $blweb$hEBOOKS