Real-Space Renormalization [E-Book] / edited by Theodore W. Burkhardt, J. M. J. van Leeuwen.
The renormalization-group approach is largely responsible for the considerable success which has been achieved in the last ten years in developing a complete quantitative theory of phase transitions. Before, there was a useful physical picture of phase transitions, but a general method for making ac...
Saved in:
Full text |
|
Personal Name(s): | Burkhardt, Theodore W., editor |
Leeuwen, J. M. J. van, editor | |
Imprint: |
Berlin, Heidelberg :
Springer,
1982
|
Physical Description: |
XIV, 216 p. online resource. |
Note: |
englisch |
ISBN: |
9783642818257 |
DOI: |
10.1007/978-3-642-81825-7 |
Series Title: |
/* Depending on the record driver, $field may either be an array with
"name" and "number" keys or a flat string containing only the series
name. We should account for both cases to maximize compatibility. */?>
Topics in Current Physics ;
30 |
Subject (LOC): |
- 1. Progress and Problems in Real-Space Renormalization
- 1.1 Introduction
- 1.2 Review of Real-Space Renormalization
- 1.3 New Renormalization Methods
- 1.4 New Applications
- 1.5 Fundamental Problems
- 1.6 Exact Differential Real-Space Renormalization
- 1.7 Phenomenological Renormalization
- 1.8 Concluding Remarks
- References
- 2. Bond-Moving and Variational Methods in Real-Space Renormalization
- 2.1 Introduction
- 2.2 Variational Principles
- 2.3 The Migdal-Kadanoff Transformation
- 2.4 Variational Transformations
- 2.5 Conclusion
- References
- 3. Monte Carlo Renormalization
- 3.1 Introduction
- 3.2 Basic Notation and Renormalization-Group Formalism
- 3.3 Large-Cell Monte Carlo Renormalization Group
- 3.4 MCRG
- 3.5 MCRG Calculations for Specific Systems
- 3.6 Other Approaches to the Monte Carlo Renormalization Group
- 3.7 Conclusions
- References
- 4. The Real-Space Dynamic Renormalization Group
- 4.1 Introduction
- 4.2 Dynamic Problem of Interest
- 4.3 RSDRG — Formal Development
- 4.4 Implementation of the RSDRG Using Perturbation Theory
- 4.5 Determination of Parameters
- 4.6 Results
- 4.7 Discussion
- References
- 5. Renormalization for Quantum Systems
- 5.1 Background
- 5.2 Application of the Niemeijer-van Leeuwen Renormalization Group Method to Quantum Lattice Models
- 5.3 The Block Method
- 5.4 Applications of the Block Method
- 5.5 Discussion
- 5.6 What to Do Next?
- References
- 6. Application of the Real-Space Renormalization to Adsorbed Systems
- 6.1 Introduction
- 6.2 The Sublattice Method
- 6.3 The Prefacing Method and Introduction of Vacancies
- 6.4 The Potts Model
- 6.5 Further Applications of the Vacancy
- 6.6 Summary
- References
- 7. Position-Space Renormalization Group for Models of Linear Polymers, Branched Polymers, and Gels
- 7.1 Three Physical Systems
- 7.2 Three Mathematical Models
- 7.3 Position-Space Renormalization Group Treatment
- 7.4 Other Approaches
- 7.5 Concluding Remarks and Outlook
- References.