Finite size scaling of the correlation length above the upper critical dimension
Phys. Rev. B71, 174438 (2005) We show numerically that correlation length at the critical point in the five-dimensional Ising model varies with system size L as L^{5/4}, rather than proportional to L as in standard finite size scaling (FSS) theory. Our results confirm a hypothesis that FSS expressio...
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| creator | Jones, Jeff L Young, A. P |
| description | Phys. Rev. B71, 174438 (2005) We show numerically that correlation length at the critical point in the
five-dimensional Ising model varies with system size L as L^{5/4}, rather than
proportional to L as in standard finite size scaling (FSS) theory. Our results
confirm a hypothesis that FSS expressions in dimension d greater than the upper
critical dimension of 4 should have L replaced by L^{d/4} for cubic samples
with periodic boundary conditions. We also investigate numerically the
logarithmic corrections to FSS in d = 4. |
| doi_str_mv | 10.48550/arxiv.cond-mat/0412150 |
| format | Article |
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five-dimensional Ising model varies with system size L as L^{5/4}, rather than
proportional to L as in standard finite size scaling (FSS) theory. Our results
confirm a hypothesis that FSS expressions in dimension d greater than the upper
critical dimension of 4 should have L replaced by L^{d/4} for cubic samples
with periodic boundary conditions. We also investigate numerically the
logarithmic corrections to FSS in d = 4.</description><identifier>DOI: 10.48550/arxiv.cond-mat/0412150</identifier><language>eng</language><subject>Physics - Disordered Systems and Neural Networks ; Physics - Statistical Mechanics</subject><creationdate>2004-12</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/cond-mat/0412150$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.cond-mat/0412150$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1103/PhysRevB.71.174438$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Jones, Jeff L</creatorcontrib><creatorcontrib>Young, A. P</creatorcontrib><title>Finite size scaling of the correlation length above the upper critical dimension</title><description>Phys. Rev. B71, 174438 (2005) We show numerically that correlation length at the critical point in the
five-dimensional Ising model varies with system size L as L^{5/4}, rather than
proportional to L as in standard finite size scaling (FSS) theory. Our results
confirm a hypothesis that FSS expressions in dimension d greater than the upper
critical dimension of 4 should have L replaced by L^{d/4} for cubic samples
with periodic boundary conditions. We also investigate numerically the
logarithmic corrections to FSS in d = 4.</description><subject>Physics - Disordered Systems and Neural Networks</subject><subject>Physics - Statistical Mechanics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqNjrEOgjAURbs4GPUbfIsjUBQSdyNxdHBvan3AS0pLHpWoX28lfIDLvcM9NzlCbHOZFseylJnmF42p8e6RdDpkssj3eSmX4lqRo4Aw0CeG0ZZcA76G0CIYz4xWB_IOLLomtKDvfsRpfPY9MhimQPEFD-rQDZFci0Wt7YCbuVdiV51vp0syGaieqdP8Vj8TFU3UbHL4l_sCgZZFWw</recordid><startdate>20041207</startdate><enddate>20041207</enddate><creator>Jones, Jeff L</creator><creator>Young, A. P</creator><scope>GOX</scope></search><sort><creationdate>20041207</creationdate><title>Finite size scaling of the correlation length above the upper critical dimension</title><author>Jones, Jeff L ; Young, A. P</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_cond_mat_04121503</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Physics - Disordered Systems and Neural Networks</topic><topic>Physics - Statistical Mechanics</topic><toplevel>online_resources</toplevel><creatorcontrib>Jones, Jeff L</creatorcontrib><creatorcontrib>Young, A. P</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Jones, Jeff L</au><au>Young, A. P</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Finite size scaling of the correlation length above the upper critical dimension</atitle><date>2004-12-07</date><risdate>2004</risdate><abstract>Phys. Rev. B71, 174438 (2005) We show numerically that correlation length at the critical point in the
five-dimensional Ising model varies with system size L as L^{5/4}, rather than
proportional to L as in standard finite size scaling (FSS) theory. Our results
confirm a hypothesis that FSS expressions in dimension d greater than the upper
critical dimension of 4 should have L replaced by L^{d/4} for cubic samples
with periodic boundary conditions. We also investigate numerically the
logarithmic corrections to FSS in d = 4.</abstract><doi>10.48550/arxiv.cond-mat/0412150</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Disordered Systems and Neural Networks Physics - Statistical Mechanics |
| title | Finite size scaling of the correlation length above the upper critical dimension |
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