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Statistical Mechanics of Lattice Systems David Lavis

Statistical Mechanics of Lattice Systems By David Lavis

Statistical Mechanics of Lattice Systems by David Lavis


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Summary

This book and its companion volume (Lavis and Bell 1999, referred to in the text simply as Volume 1) are princi pally concerned with phase transitions in lattice systems. We have found it appropriate to inelude some of our discussion of exact results in this volume and some in Volume 1.

Statistical Mechanics of Lattice Systems Summary

Statistical Mechanics of Lattice Systems: Volume 2: Exact, Series and Renormalization Group Methods by David Lavis

Most of the interesting and difficult problems in statistical mechanics arise when the constituent particles of the system interact with each other with pair or multipartiele energies. The types of behaviour which occur in systems because of these interactions are referred to as cooperative phenomena giving rise in many cases to phase transitions. This book and its companion volume (Lavis and Bell 1999, referred to in the text simply as Volume 1) are princi pally concerned with phase transitions in lattice systems. Due mainly to the insights gained from scaling theory and renormalization group methods, this subject has developed very rapidly over the last thirty years. ' In our choice of topics we have tried to present a good range of fundamental theory and of applications, some of which reflect our own interests. A broad division of material can be made between exact results and ap proximation methods. We have found it appropriate to inelude some of our discussion of exact results in this volume and some in Volume 1. Apart from this much of the discussion in Volume 1 is concerned with mean-field theory. Although this is known not to give reliable results elose to a critical region, it often provides a good qualitative picture for phase diagrams as a whole. For complicated systems some kind of mean-field method is often the only tractable method available. In this volume our main concern is with scaling theory, algebraic methods and the renormalization group.

Table of Contents

1. Thermodynamics and Statistical Mechanics.- 2. Phase Transitions and Scaling Theory.- 3. Landau and Landau-Ginzburg Theory.- 4. Algebraic Methods in Statistical Mechanics.- 5. The Eight-Vertex Model.- 6. Real-Space Renormalization Group Theory.- 7. Series Methods.- 8. Dimer Assemblies.- A. Appendices.- References and Author Index.

Additional information

NPB9783540644361
9783540644361
3540644369
Statistical Mechanics of Lattice Systems: Volume 2: Exact, Series and Renormalization Group Methods by David Lavis
New
Hardback
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
1999-03-08
430
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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