| Proposed relationship between the exponents gamma and eta at liquid-vapour critical point via the dimensionality d | |
| Z. D. Zhang; N. H. March | |
| 2011 | |
| Source Publication | Physics and Chemistry of Liquids
 |
| ISSN | 0031-9104 |
| Volume | 49Issue:2Pages:270-273 |
| Abstract | In earlier work, Ma [S.K. MA, Phys. Rev. Lett., 29, 1311 (1972)] has studied the critical exponents and for charged and neutral Bose gases. Here we use the result of Ma, valid for general dimensionality d but only to O(m-1), where m is the number of components of the Bose field, to write a relation between (d) and (d) to O(m-1). This then motivates, but now for the Ising model, a relationship between the critical exponents and , via the dimensionality d. We finally demonstrate a connection between the two renormalisation group eigenvalues yt and yh, via the critical exponent with a dimensional dependence. |
| description.department | [zhang, z. d.] chinese acad sci, shenyang natl lab mat sci, inst met res, shenyang 110016, peoples r china. [zhang, z. d.] chinese acad sci, int ctr mat phys, shenyang 110016, peoples r china. [march, n. h.] dipc, san sebastian 20018, spain. [march, n. h.] univ antwerp, dept phys, b-2020 antwerp, belgium. [march, n. h.] univ oxford, oxford, england.;zhang, zd (reprint author), chinese acad sci, shenyang natl lab mat sci, inst met res, 72 wenhua rd, shenyang 110016, peoples r china;zdzhang@imr.ac.cn |
| Keyword | Critical Exponents Ising Model Dimensionality |
| URL | 查看原文 |
| WOS ID | WOS:000288667200012 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/30938 |
| Collection | 中国科学院金属研究所 |
| Recommended Citation GB/T 7714 | Z. D. Zhang,N. H. March. Proposed relationship between the exponents gamma and eta at liquid-vapour critical point via the dimensionality d[J]. Physics and Chemistry of Liquids,2011,49(2):270-273. |
| APA | Z. D. Zhang,&N. H. March.(2011).Proposed relationship between the exponents gamma and eta at liquid-vapour critical point via the dimensionality d.Physics and Chemistry of Liquids,49(2),270-273. |
| MLA | Z. D. Zhang,et al."Proposed relationship between the exponents gamma and eta at liquid-vapour critical point via the dimensionality d".Physics and Chemistry of Liquids 49.2(2011):270-273. |
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