Field-theoretical analysis of singularities at critical end points

H.W. Diehl and M. Smock

Physica A: Statistical Mechanics and its Applications, 2000, vol. 281, issue 1, 268-275

Abstract: Continuum models with critical end points are considered whose Hamiltonian H[φ,ψ] depends on two densities φ and ψ. Field-theoretic methods are used to show the equivalence of the critical behavior on the critical line and at the critical end point and to give a systematic derivation of critical-end-point singularities like the thermal singularity ∼|t|2−α of the spectator-phase boundary and the coexistence singularities ∼|t|1−α or ∼|t|β of the secondary density 〈ψ〉. The appearance of a discontinuity eigenexponent associated with the critical end point is confirmed, and the mechanism by which it arises in field theory is clarified.

Keywords: Critical end point; Field theory; Critical and coexistence singularities (search for similar items in EconPapers)
Date: 2000
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437100000492
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:281:y:2000:i:1:p:268-275

DOI: 10.1016/S0378-4371(00)00049-2

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 ().