In this paper, the authors have studied a generalized Ginzburg᎐Landau equation Ž . in two spatial dimensions 2D . They have shown that this equation, under periodic boundary conditions, has the maximal attractor with finite Hausdorff dimension. This rigorously establishes the foundation for further
A generalized Landau theory for the two-dimensional Ising model
✍ Scribed by M. Luban; E. Asscher
- Publisher
- Elsevier Science
- Year
- 1974
- Weight
- 976 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0031-8914
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📜 SIMILAR VOLUMES
The Ginzburg᎐Landau-type complex partial differential equations are simplified mathematical models for various pattern formation systems in mechanics, physics, and chemistry. Most work so far concentrates on Ginzburg᎐Landau-type equations Ž . with one spatial dimension 1D . In this paper, the author
## Abstract We prove Russo‐Seymour‐Welsh‐type uniform bounds on crossing probabilities for the FK Ising (FK percolation with cluster weight __q__ = 2) model at criticality, independent of the boundary conditions. Our proof relies mainly on Smirnov's fermionic observable for the FK Ising model [24],
## Nature of the physical problem Program available from: CPC Program Library, Queen's Uni- We wish to study the critical temperature and critical expoversity of Belfast, N. Ireland (see application form