ITP OpenIR  > 理论物理所1978-2010年知识产出
Scaling and nonscaling finite-size effects in the Gaussian and the mean spherical model with free boundary conditions
Chen, XS; Dohm, V; Chen, XS , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
2003
发表期刊PHYSICAL REVIEW E
ISSN1539-3755
卷号67期号:5页码:-
摘要We calculate finite-size effects of the Gaussian model in a LxL(d-1) box geometry with free boundary conditions in one direction and periodic boundary conditions in d-1 directions for 2<4. We also consider film geometry (L-->infinity). Finite-size scaling is found to be valid for d<3 and d>3 but logarithmic deviations from finite-size scaling are found for the free energy and energy density at the Gaussian upper borderline dimension d(*)=3. The logarithms are related to the vanishing critical exponent 1-alpha-nu=(d-3)/2 of the Gaussian surface energy density. The latter has a cusplike singularity in d>3 dimensions. We show that these properties are the origin of nonscaling finite-size effects in the mean spherical model with free boundary conditions in dgreater than or equal to3 dimensions. At bulk T(c), in d=3 dimensions we find an unexpected nonlogarithmic violation of finite-size scaling for the susceptibility chisimilar toL(3) of the mean spherical model in film geometry, whereas only a logarithmic deviation chisimilar toL(2) ln L exists for box geometry. The result for film geometry is explained by the existence of the lower borderline dimension d(l)=3, as implied by the Mermin-Wagner theorem, that coincides with the Gaussian upper borderline dimension d(*)=3. For 3<4 we find a power-law violation of scaling chisimilar toL(d-1) at bulk T(c) for box geometry and a nonscaling temperature dependence chi(surface)similar toxi(d) of the surface susceptibility above T(c). For 2<3 dimensions we show the validity of universal finite-size scaling for the susceptibility of the mean spherical model with free boundary conditions for both box and film geometry and calculate the corresponding universal scaling functions for Tgreater than or equal toT(c).
部门归属Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; Rhein Westfal TH Aachen, Inst Theoret Phys, D-52056 Aachen, Germany
关键词Upper Critical Dimension T-lambda Confined He-4 Free-energy Superfluid Transition Critical-behavior Phi(4) Theory 3 Dimensions Heat Systems
学科领域Physics
URL查看原文
收录类别SCI
WOS记录号WOS:000183482400031
引用统计
被引频次:8[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/13313
专题理论物理所1978-2010年知识产出
通讯作者Chen, XS , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
推荐引用方式
GB/T 7714
Chen, XS,Dohm, V,Chen, XS , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.. Scaling and nonscaling finite-size effects in the Gaussian and the mean spherical model with free boundary conditions[J]. PHYSICAL REVIEW E,2003,67(5):-.
APA Chen, XS,Dohm, V,&Chen, XS , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(2003).Scaling and nonscaling finite-size effects in the Gaussian and the mean spherical model with free boundary conditions.PHYSICAL REVIEW E,67(5),-.
MLA Chen, XS,et al."Scaling and nonscaling finite-size effects in the Gaussian and the mean spherical model with free boundary conditions".PHYSICAL REVIEW E 67.5(2003):-.
条目包含的文件
文件名称/大小 文献类型 版本类型 开放类型 使用许可
Scaling and nonscali(292KB) 开放获取使用许可请求全文
个性服务
推荐该条目
保存到收藏夹
查看访问统计
导出为Endnote文件
谷歌学术
谷歌学术中相似的文章
[Chen, XS]的文章
[Dohm, V]的文章
[Chen, XS , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.]的文章
百度学术
百度学术中相似的文章
[Chen, XS]的文章
[Dohm, V]的文章
[Chen, XS , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.]的文章
必应学术
必应学术中相似的文章
[Chen, XS]的文章
[Dohm, V]的文章
[Chen, XS , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.]的文章
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。