|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Peer-reviewed Journal Articles, etc >
Mean-Field Critical Behavior for the Contact Process
| Title: | Mean-Field Critical Behavior for the Contact Process |
| Authors: | Sakai, Akira Browse this author →KAKEN DB |
| Keywords: | contact process | | percolation | | critical exponents | | triangle condition | | mean-field behavior | | lace expansion |
| Issue Date: | 1-Jul-2001 |
| Publisher: | Kluwer |
| Journal Title: | Journal of Statistical Physics |
| Volume: | 104 |
| Issue: | 1-2 |
| Start Page: | 111 |
| End Page: | 143 |
| Publisher DOI: | 10.1023/A:1010320523031 |
| Abstract: | The contact process is a model of spread of an infectious disease. Combining with the result of ref. 1, we prove that the critical exponents take on the mean-field values for sufficiently high dimensional nearest-neighbor models and for sufficiently spread-out models with d>4:θ(λ)≈λ−λ c as λ↓λ c and χ(λ)≈(λ c−λ)−1 as λ↑λ c, where θ(λ) and χ(λ) are the spread probability and the susceptibility of the infection respectively, and λ c is the critical infection rate. Our results imply that the upper critical dimension for the contact process is at most 4. |
| Rights: | The final publication is available at link.springer.com |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/57819 |
| 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
|
