Abstract
An inductive algorithm is presented for the construction of phase diagrams by means of the low-temperature expansion technique. First the phase diagram is studied in the set of formal series. In each step, properties of this phase diagram are related to extremal elements of some family of convex sets. Approximations of the phase diagram in orderN are obtained by truncating all formal series at theNth term.
Similar content being viewed by others
References
J. Slawny. inPhase Transitions and Critical Phenomena, Vol. 10, C. Domb and J. L. Lebowitz, eds. (Academic Press, New York).
M. Tarnawski,J. Phys. A 19:3107 (1986).
C. Domb,Adv. Phys. 9:149 (1960).
M. E. Fisher and W. Selke,Phil. Trans. R. Soc. 302:1 (1981).
J. M. Yeomans and M. E. Fisher,Physica 127A:1 (1984).
M. Tarnawski,J. Phys. A, submitted.
Author information
Authors and Affiliations
Additional information
This paper was presented at the Trebon, Czechoslovakia, Symposium September 1–6, 1986.
Rights and permissions
About this article
Cite this article
Tarnawski, M. An order-by-order construction of low-temperature phase diagrams for classical lattice systems. J Stat Phys 47, 757–759 (1987). https://doi.org/10.1007/BF01206156
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01206156