Equilibrium Statistical Mechanics of Lattice Models

AvDavid A. Lavis

Häftad, Engelska, 2016

Del i serien Theoretical and Mathematical Physics

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Beskrivning

The latter is applied to a general analysis of eight-vertex models yielding as special cases the two-dimensional Ising model and the six-vertex model. The use of the De Neef—Enting finite-lattice method is described in detail and applied to the derivation of series for a number of model systems, in particular for the Potts model.

Produktinformation

Utgivningsdatum:2016-10-09
Mått:155 x 235 x 44 mm
Vikt:1 206 g
Format:Häftad
Språk:Engelska
Serie:Theoretical and Mathematical Physics
Antal sidor:793
Förlag:Springer
ISBN:9789402405040

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Innehållsförteckning

Part I Thermodynamics, Statistical Mechanical Models and Phase Transitions.- Introduction.- Thermodynamics.- Statistical Mechanics.- A Survey of Models.- Phase Transitions and Scaling Theory.- Part II Classical Approximation Methods.- Phenomenological Theory and Landau Expansions.- Classical Methods.- The Van der Waals Equation.- Landau Expansions with One Order Parameter.- Landau Expansions with Two Order Parameter.- Landau Theory for a Tricritical Point.- Landau_Ginzburg Theory.- Mean-Field Theory.- Cluster-Variation Methods.- Part III Exact Results.- Introduction.- Algebraic Methods.- Transformation Methods.- Edge-Decorated Ising Models.- 11 Transfer Matrices: Incipient Phase Transitions.- Transfer Matrices: Exactly Solved Models.- Dimer Models.- Part IV Series and Renormalization Group Methods.- Introduction.- Series Expansions.- Real-Space Renormalization Group Theory.- A Appendices.- References and Author Index.