| 摘要 | Recent work in D. J. Klein and N. H. March, Phys. Lett. A 372, 5052 (2008) has considered, by a semi-empirical approach, the critical exponent delta at the liquid-vapour critical point as a function of dimensionality D. Here we first refine delta(d'), again semi-empirically, but with better results for other critical exponents, especially eta(d'). The resulting form of delta(d') is then utilised to discuss the random field Ising model. Systems with random fields are expected to exhibit drastically modified critical properties. We discuss the relation between a d-dimensional spin system in a random field with a d'-dimensional spin assembly in a zero magnetic field. A further matter focused in here concerns effective reduced dimensionality and hyperscaling relations. We conclude by assessing the way in which the available experimental results relate to the issues raised above. |
| 部门归属 | [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, spain. [march, n. h.] univ antwerp, dept phys, b-2020 antwerp, belgium. [march, n. h.] abdus salam int ctr theoret phys, trieste, italy. [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
|
修改评论