“True” self-attracting walk
2001; Elsevier BV; Volume: 289; Issue: 4-5 Linguagem: Inglês
10.1016/s0375-9601(01)00559-x
ISSN1873-2429
AutoresZhi-Jie Tan, Xian‐Wu Zou, Wei Zhang, Zhun‐Zhi Jin,
Tópico(s)Opinion Dynamics and Social Influence
ResumoThe self-attracting walk (SATW) model was extended and investigated by Monte Carlo simulations. In the extended two-dimensional model, the environment parameter ni,j takes the value of visited times tv at the site (i,j) when tv is less than a saturated environment parameter ns, instead of the alternative of 1 or 0 in the original SATW model. And ni,j takes ns for tv⩾ns. There exists a critical attractive interaction uc depending on ns and long time scaling relations of mean square displacement and mean visited sites, 〈R2〉∝t2v and 〈S〉∝tk. For u>uc, v=1/3 and k=2/3. But for u<uc, v=1/2 and k=0.9.
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