Explicit thermostatics of Stanley's n-vector model on the harmonic chain by Fourier analysis

Georg Junker, Hajo Leschke and Ingbert Zan

Physica A: Statistical Mechanics and its Applications, 1997, vol. 237, issue 1, 257-284

Abstract: Thermostatic properties of Stanley's classical n-vector model on the harmonic chain are studied. It is shown that this model belongs to a rather general class of classical spin models in one dimension. The members of this class are characterized by spins which are elements of a homogenous space with transformation group G and a G-invariant and exchange-invariant spin-pair interaction. For the derivation of basic thermostatic quantities and correlation functions we use the method of abstract Fourier analysis. This allows to derive rather explicit results for any member of the aforementioned class of spin models. We present an exact closed-form expression as well as a high- and a low-temperature expansion for the free energy of Stanley's n-vector model on the harmonic chain. From this basic thermostatic quantities like internal energy, entropy and heat capacity are obtained. Furthermore, we present results for expectation values of one-spin and two-spin functions. From the latter it is possible to derive the zero-field susceptibility and it also allows for a discussion of magnetostrictive effects.

Keywords: Classical spin models; Abstract harmonic analysis; Lattice theory and statistics; Ising problems (search for similar items in EconPapers)
Date: 1997
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S037843719600413X
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:237:y:1997:i:1:p:257-284

DOI: 10.1016/S0378-4371(96)00413-X

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 ().