Physics NotePublished
Bond-Diluted Interface between Semi-Infinite Potts Bulks: Criticality
Solange B. Cavalcanti; C. Tsallis
1986
Publication details
- Authors
- Solange B. Cavalcanti; C. Tsallis
- Type
- Physics Note
- Status
- Published
- Publication date
- 1986
- Description
- Within a real space renormalisation group framework, we discuss the criticality of a system constituted by two (not necessarily equal) semi-infinite ferromagnetic q-state Potts bulks separated by an interface. This interface is a bond-diluted Potts ferromagnet with a coupling constant which is in general different from those of both bulks. The phase diagram presents four physically different phases, namely the paramagnetic one, and the surface, single bulk and double bulk ferromagnetic ones. These various phases determine a multicritical surface which contains a higher order multicritical line. Particular attention is devoted to the discussion of the critical concentration <math>p_c\,\!</math>. Here, <math>p_c\,\!</math> is the concentration of the interface bonds above which surface magnetic ordering is possible even if the bulks are disordered. An interesting feature comes out which is that <math>p_c\,\!</math> varies continuously with <math>J_1/J_s\,\!</math> and <math>J_2/J_s\,\!</math>. The standard two-dimensional percolation concentration is recovered for <math>J_1=J_2=0\,\!</math>. From the analysis of the various fixed points obtained within the present formalism, a very rich set of critical universality classes emerges.
- Year
- 1986
- Number
- CBPF-NF-017/86
- Linked to a thesis
- No
- Linked to a grant
- No