Eden model in many dimensions

Giorgio Parisi; Yi Cheng Zhang

doi:10.1103/PhysRevLett.53.1791

Eden model in many dimensions

Giorgio Parisi^*
, Yi Cheng Zhang

^*此作品的通讯作者

University of Rome Tor Vergata
National Institute for Nuclear Physics
International School for Advanced Studies
Brookhaven National Laboratory

科研成果: 期刊稿件 › 文章 › 同行评审

35 引用（Scopus）

摘要

The Eden model in many dimensions is studied by an exact enumeration method. Our result including the first-order 1d correction has the asymptotic behavior Rn22 ln(n) (1+32d), which does not agree with the naive expectation Rn1d [or d (n1d-1)]. This suggests that when n is large, Rn2 might be a singular function of d. We also present a result on the Cayley tree.

源语言	英语
页（从-至）	1791-1794
页数	4
期刊	Physical Review Letters
卷	53
期	19
DOI	https://doi.org/10.1103/PhysRevLett.53.1791
出版状态	已出版 - 1984
已对外发布	是

访问文件

10.1103/PhysRevLett.53.1791

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{35446c8122b64b888517b1a7126dd731,

title = "Eden model in many dimensions",

abstract = "The Eden model in many dimensions is studied by an exact enumeration method. Our result including the first-order 1d correction has the asymptotic behavior Rn22 ln(n) (1+32d), which does not agree with the naive expectation Rn1d [or d (n1d-1)]. This suggests that when n is large, Rn2 might be a singular function of d. We also present a result on the Cayley tree.",

author = "Giorgio Parisi and Zhang, \{Yi Cheng\}",

year = "1984",

doi = "10.1103/PhysRevLett.53.1791",

language = "英语",

volume = "53",

pages = "1791--1794",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "19",

}

TY - JOUR

T1 - Eden model in many dimensions

AU - Parisi, Giorgio

AU - Zhang, Yi Cheng

PY - 1984

Y1 - 1984

N2 - The Eden model in many dimensions is studied by an exact enumeration method. Our result including the first-order 1d correction has the asymptotic behavior Rn22 ln(n) (1+32d), which does not agree with the naive expectation Rn1d [or d (n1d-1)]. This suggests that when n is large, Rn2 might be a singular function of d. We also present a result on the Cayley tree.

AB - The Eden model in many dimensions is studied by an exact enumeration method. Our result including the first-order 1d correction has the asymptotic behavior Rn22 ln(n) (1+32d), which does not agree with the naive expectation Rn1d [or d (n1d-1)]. This suggests that when n is large, Rn2 might be a singular function of d. We also present a result on the Cayley tree.

UR - https://www.scopus.com/pages/publications/25144515032

U2 - 10.1103/PhysRevLett.53.1791

DO - 10.1103/PhysRevLett.53.1791

M3 - 文章

AN - SCOPUS:25144515032

SN - 0031-9007

VL - 53

SP - 1791

EP - 1794

JO - Physical Review Letters

JF - Physical Review Letters

IS - 19

ER -

Eden model in many dimensions

摘要

访问文件

其它文件与链接

指纹

引用此