|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Peer-reviewed Journal Articles, etc >
Hyperscaling Inequalities for the Contact Process and Oriented Percolation
| Title: | Hyperscaling Inequalities for the Contact Process and Oriented Percolation |
| Authors: | Sakai, Akira Browse this author →KAKEN DB |
| Keywords: | contact process | | oriented percolation | | critical exponent | | hyperscaling inequality | | upper critical dimension |
| Issue Date: | 1-Jan-2002 |
| Publisher: | Kluwer |
| Journal Title: | Journal of Statistical Physics |
| Volume: | 106 |
| Issue: | 1-2 |
| Start Page: | 201 |
| End Page: | 211 |
| Publisher DOI: | 10.1023/A:1013197011935 |
| Abstract: | The contact process and oriented percolation are expected to exhibit the same critical behavior in any dimension. Above their upper critical dimension d c, they exhibit the same critical behavior as the branching process. Assuming existence of the critical exponents, we prove a pair of hyperscaling inequalities which, together with the results of refs. 16 and 18, implies d c=4. |
| Rights: | The final publication is available at link.springer.com |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/57818 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
|
Submitter: 坂井 哲
|
