The statistical mechanics of interacting walks, polygons, animals and vesicles. 2nd ed. (English) Zbl 1314.82019
Oxford Lecture Series in Mathematics and Its Applications. Oxford: Oxford University Press (ISBN 978-0-19-966657-7/hbk). 640 p. (2015).
From the publisher’s description: New to this edition:
This monograph provides an authoritative examination of interacting self-avoiding walks, presenting aspects of the thermodynamic limit, phase behaviour, scaling and critical exponents for lattice polygons, lattice animals and surfaces. It also includes a comprehensive account of constructive methods in models of adsorbing, collapsing, and pulled walks, animals and networks, and for models of walks in confined geometries. Additional topics include scaling, knotting in lattice polygons, generating function methods for directed models of walks and polygons, and an introduction to the Edwards model.
This essential second edition includes recent breakthroughs in the field, as well as maintaining the older but still relevant topics. New chapters include an expanded presentation of directed models, an exploration of methods and results for the hexagonal lattice, and a chapter devoted to the Monte Carlo methods.
For the first edition see [Zbl 0996.82031].
- \(\bullet\)
- updated to cover recent developments in the field while keeping relevant but older topics.
- \(\bullet\)
- new chapters include an expanded presentation of directed models, a chapter on models in the hexagonal lattice, and a chapter on Monte Carlo methods.
- \(\bullet\)
- chapters and sections on adsorbing, collapsing and pulled walks were completely overhauled and expanded.
- \(\bullet\)
- sections of the book on scaling and the Edwards model were expanded.
- \(\bullet\)
- expanded sections on methods in directed models and discussions on knotting in three dimensional lattice polygons (which are significantly enlarged from the first edition).
This monograph provides an authoritative examination of interacting self-avoiding walks, presenting aspects of the thermodynamic limit, phase behaviour, scaling and critical exponents for lattice polygons, lattice animals and surfaces. It also includes a comprehensive account of constructive methods in models of adsorbing, collapsing, and pulled walks, animals and networks, and for models of walks in confined geometries. Additional topics include scaling, knotting in lattice polygons, generating function methods for directed models of walks and polygons, and an introduction to the Edwards model.
This essential second edition includes recent breakthroughs in the field, as well as maintaining the older but still relevant topics. New chapters include an expanded presentation of directed models, an exploration of methods and results for the hexagonal lattice, and a chapter devoted to the Monte Carlo methods.
For the first edition see [Zbl 0996.82031].
MSC:
| 82B41 | Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics |
| 82-02 | Research exposition (monographs, survey articles) pertaining to statistical mechanics |
| 82D60 | Statistical mechanics of polymers |
