Critical-exponent renormalization, first-order transitions and demagnetizing effects for Schofield's linear model

L.W.J. Den Ouden, H.W. Capel and J.H.H. Perk

Physica A: Statistical Mechanics and its Applications, 1981, vol. 105, issue 1, 53-85

Abstract: The critical behaviour of a reference system with short-range interactions under small perturbations is investigated in detail for the special case of two (relevant) thermodynamic fields h1 and h2. As reference system we choose Schofield's linear model and we consider perturbations of the type ∏1m12 + ∏2m22, where m1 and m2 are thermodynamic variables conjugate to the fields h1 and h2. Explicit estimates are given for the four different regimes of critical-exponent renormalization, in the special case that ∏1>0, ∏2>0. In general there can be first- and second-order transitions in the neighbourhood of the critical point of the reference system between two “normal” phases and a “demagnetizing” phase. The various types of phase diagrams are presented.

Date: 1981
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437181900637
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:105:y:1981:i:1:p:53-85

DOI: 10.1016/0378-4371(81)90063-7

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().