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A01=Robert B. Israel
Abelian von Neumann algebra
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Author_Robert B. Israel
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Convexity in the Theory of Lattice Gases

English

By (author): Robert B. Israel

In this book, Robert Israel considers classical and quantum lattice systems in terms of equilibrium statistical mechanics. He is especially concerned with the characterization of translation-invariant equilibrium states by a variational principle and the use of convexity in studying these states. Arthur Wightman's Introduction gives a general and historical perspective on convexity in statistical mechanics and thermodynamics. Professor Israel then reviews the general framework of the theory of lattice gases. In addition to presenting new and more direct proofs of some known results, he uses a version of a theorem by Bishop and Phelps to obtain existence results for phase transitions. Furthermore, he shows how the Gibbs Phase Rule and the existence of a wide variety of phase transitions follow from the general framework and the theory of convex functions. While the behavior of some of these phase transitions is very "pathological," others exhibit more "reasonable" behavior. As an example, the author considers the isotropic Heisenberg model. Formulating a version of the Gibbs Phase Rule using Hausdorff dimension, he shows that the finite dimensional subspaces satisfying this phase rule are generic. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. See more
Current price €55.99
Original price €56.99
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A01=Robert B. IsraelAbelian von Neumann algebraAge Group_UncategorizedAuthor_Robert B. Israelautomatic-updateBanach spaceBlaschke selection theoremBoundary value problemBounded set (topological vector space)Category1=Non-FictionCategory=PHFCCharacteristic function (probability theory)Choquet theoryConvex combinationConvex coneConvex functionConvex hullConvex setCOP=United StatesCorrelation functionCorrelation function (quantum field theory)Delivery_Delivery within 10-20 working daysDensity matrixDiagram (category theory)Difference quotientDifferentiable functionDimension (vector space)Dirac delta functionDistribution (mathematics)Enthalpyeq_isMigrated=2eq_non-fictioneq_scienceEquationExpectation value (quantum mechanics)Extreme pointFerromagnetismHausdorff dimensionHausdorff measureHeisenberg model (quantum)Hyperbolic functionHölder's inequalityInclusion–exclusion principleInequality (mathematics)Infimum and supremumIntegral equationKMS stateLanguage_EnglishLaws of thermodynamicsLiouville's theorem (complex analysis)Mean field theoryMetric spaceMorera's theoremNaturalness (physics)Non-equilibrium thermodynamicsPA=AvailablePartition function (statistical mechanics)Phase diagramPhase rulePhase spacePhase transitionPrice_€50 to €100Probability measurePS=ActiveQuantum statistical mechanicsQuantum systemRadon–Nikodym theoremRiesz representation theoremSecond law of thermodynamicsSet (mathematics)softlaunchStatistical mechanicsStone–Weierstrass theoremSubsetSymmetry breakingTangent spaceTheoremTheoryThermodynamic equilibriumThermodynamic limitThermodynamic systemThermodynamic temperatureThermodynamicsVariational inequalityVariational principleWeak operator topology
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Product Details
  • Weight: 340g
  • Dimensions: 152 x 235mm
  • Publication Date: 08 Mar 2015
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Language: English
  • ISBN13: 9780691606194

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