Simon, Barry (1980) Decay of Correlations in Ferromagnets. Physical Review Letters, 44 (8). pp. 547-549. ISSN 0031-9007. doi:10.1103/PhysRevLett.44.547. https://resolver.caltech.edu/CaltechAUTHORS:20180417-104512511
![[img]](https://authors.library.caltech.edu/style/images/fileicons/application_pdf.png) |
PDF
- Published Version
See Usage Policy. 220kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20180417-104512511
Abstract
Some new correlation inequalities are described which bound large-distance behavior of correlations in ferromagnets from above by correlations at intermediate distances. Among applications are (1) an inequality, η < 1, on the decay of correlations at the critical point; (2) an inequality χ ≧ coth(1/2 m) relating the zero-field susceptibility and the mass gap in a nearest-neighbor ferromagnet; (3) a finite algorithm for rigorously computing a sequence of upper bounds guaranteed to converge to the true transition temperature in Ising ferromagnets.
| Item Type: | Article | ||||||
|---|---|---|---|---|---|---|---|
| Related URLs: |
| ||||||
| ORCID: |
| ||||||
| Additional Information: | © 1980 American Physical Society. (Received 7 December 1979) The author acknowledges partial support of the National Science Foundation under Grant No. MCS-78-01885. | ||||||
| Funders: |
| ||||||
| Issue or Number: | 8 | ||||||
| DOI: | 10.1103/PhysRevLett.44.547 | ||||||
| Record Number: | CaltechAUTHORS:20180417-104512511 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180417-104512511 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 85892 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | George Porter | ||||||
| Deposited On: | 17 Apr 2018 18:12 | ||||||
| Last Modified: | 15 Nov 2021 20:33 |
Repository Staff Only: item control page
