|
| | | | |
| | | |
| Stat |
Members: 3665
Articles: 2'599'751
Articles rated: 2609
25 January 2025 |
|
| | | | |
|
Article overview
| |
|
|
The double domain structure of pair contact process with diffusion | | Sungchul Kwon
; Yup Kim
; | | Date: |
15 Jan 2007 | | Subject: | Statistical Mechanics | | Abstract: | We investigate the domain structure of pair contact with diffusion (PCPD). PCPD is a stochastic reaction-diffusion model which evolves by the competition of two binary reactions, $2A o 3A$ and $2A o 0$. In addition, each particle diffuses isotropically, which leads to the bidirectional coupling between solitary particles and pairs. The coupling from pairs to solitary particles is linear, while the opposite coupling is quadratic. The spreading domain formed from localized activities in vacuum consists of two regions, the coupled region of size $R_p$ where pairs and solitary particles coexist and the uncoupled region of size $R_U$ where only solitary particles exist respectively. As the size of the whole domain $R$ is given as $R=R_p + R_U$, $R_p$ and $R_U$ are the basic length scales of PCPD. At criticality, $R_p$ and $R_U$ scale as $R_p sim t^{1/Z_p}$ and $R_U sim t^{1/Z_U}$ with $Z_U > Z_p$. We estimate $Z_p =1.61(1)$ and $Z_U =1.768(8)$. Hence, the correction to the scaling of $R$, $Q=R_U /R_p$ extremely slowly decays, which makes it practically impossible to identify the asymptotic scaling behavior of $R$. In addition to the generic feature of the bidirectional coupling, the double domain structure is another reason for the extremely slow approach to the asymptotic scaling regime of PCPD. | | Source: | arXiv, cond-mat/0701315 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
REGISTER