Statistical Mechanics Selecta of Elliott H. Lieb

Statistical Mechanics Selecta of Elliott H. Lieb / by E.H. Lieb ; edited by Bruno Nachtergaele, Jan Philip Solovej, Jakob Yngvason.

In Statistical Physics one of the ambitious goals is to derive rigorously, from statistical mechanics, the thermodynamic properties of models with realistic forces. Elliott Lieb is a mathematical physicist who meets the challenge of statistical mechanics head on, taking nothing for granted and not b...

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Bibliographic Details
Main Author: Lieb, E.H (Author)
Corporate Author: SpringerLink (Online service)
Other Authors: Nachtergaele, Bruno (Editor), Solovej, Jan Philip (Editor), Yngvason, Jakob (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
Edition:1st ed. 2004.
Series:Springer eBook Collection.
Subjects:
Physics.
Thermodynamics.
Statistical physics.
Dynamical systems.
Condensed matter.
Functional analysis.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Commentaries
  • A Survey by the Editors
  • I. Thermodynamic Limit for Coulomb Systems
  • I. 1 Existence of Thermodynamics for Real Matter with Coulomb Forces
  • I. 2 The Constitution of Matter: Existence of Thermodynamics for Systems Composed of Electrons and Nuclei
  • II. Hard Sphere Virial Coefficients
  • II. 1 Suppression at High Temperature of Effects Due to Statistics in the Second Virial Coefficient of a Real Gas
  • II. 2 Calculation of Exchange Second Virial Coefficient of a Hard-Sphere Gas by Path Integrals
  • III. Zeros of Partition Functions
  • III. 1 Monomers and Dimers
  • III. 2 Theory of Monomer-Dimer Systems
  • III. 3 A Property of Zeros of the Partition Function for Ising Spin Systems
  • III. 4 A General Lee—Yang Theorem for One-Component and Multicomponent Ferromagnets
  • IV. Reflection Positivity
  • IV. 1 Existence of Phase Transitions for Anisotropic Heisenberg Models
  • IV. 2 Phase Transitions in Anisotropic Lattice Spin Systems
  • IV. 3 Phase Transitions in Quantum Spin Systems with Isotropic and Nonisotropic Interactions
  • IV. 4 Phase Transitions and Reflection Positivity. I. General Theory and Long Range Lattice Models
  • IV. 5 Phase Transitions and Reflection Positivity. II. Lattice Systems with Short-Range and Coulomb Interactions
  • IV. 6 Lattice Models for Liquid Crystals
  • IV. 7 Existence of Néel Order in Some Spin-1/2 Heisenberg Antiferromagnets
  • IV. 8 The XY Model Has Long-Range Order for all Spins and all Dimensions Greater than One
  • V. Classical Thermodynamics
  • V. 1 The Third Law of Thermodynamics and the Degeneracy of the Ground State for Lattice Systems
  • V. 2 A Guide to Entropy and the Second Law of Thermodynamics
  • V. 3 A Fresh Look at Entropy and the Second Law of Thermodynamics
  • VI. Lattice Systems
  • VI. 1 Properties of a Harmonic Crystal in a Stationary Nonequilibrium State
  • VI. 2 The Statistical Mechanics of Anharmonic Lattices
  • VI. 3 Time Evolution of Infinite Anharmonic Systems
  • VI. 4 Lattice Systems with a Continuous Symmetry III. Low Temperature Asymptotic Expansion for the Plane Rotator Model
  • VII. Miscellaneous
  • VII. 1 The Finite Group Velocity of Quantum Spin Systems
  • VII. 2 The Classical Limit of Quantum Spin Systems
  • VII. 3 A Refinement of Simon’s Correlation Inequality
  • VII. 4 Fluxes, Laplacians, and Kasteleyn’s Theorem
  • Selecta of Elliott H. Lieb
  • Publications of Elliott H. Lieb.

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