SOLVABLE ISING-MODEL ON SIERPINSKI CARPETS - THE PARTITION-FUNCTION

Authors
YANG ZR
Citation
Zr. Yang, SOLVABLE ISING-MODEL ON SIERPINSKI CARPETS - THE PARTITION-FUNCTION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(3), 1994, pp. 2457-2460
Citations number
10
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
49
Issue
3
Year of publication
1994
Pages
2457 - 2460
Database
ISI
SICI code
1063-651X(1994)49:3<2457:SIOSC->2.0.ZU;2-B
Abstract
With a special Sierpinski carpet (SC), the Ising model is exactly solv ed by a combinatorial approach and graph technique. The rigorous parti tion function and free energy are obtained and the phase transition is investigated. We argue that the existence of a phase transition stron gly depends on the order of ramification of the SC. Our method is exte nded to deal with other lattices.