中文

序参量临界指数的微正则确定

凝聚态物理 2009-11-07 v2

摘要

presented for the calculation of the density of states of classical spin systems. As an application, we investigate the density of states Omega_N(E,M) of two- and three-dimensional Ising models with N spins as a function of energy E and magnetization M. For a fixed energy lower than a critical value E_{c,N} the density of states exhibits two sharp maxima at M=±Msp(E)M = \pm M_{sp}(E) which define the microcanonical spontaneous magnetization. An analysis of the form Msp(E)(Ec,E)βϵM_{sp}(E) \propto (E_{c,\infty}-E)^{\beta_\epsilon} yields very good results for the critical exponent βϵ\beta_\epsilon, thus demonstrating that critical exponents can be determined by analysing directly the density of states of finite systems.

关键词

引用

@article{arxiv.cond-mat/0110090,
  title  = {Microcanonical determination of the order parameter critical exponent},
  author = {Alfred Huller and Michel Pleimling},
  journal= {arXiv preprint arXiv:cond-mat/0110090},
  year   = {2009}
}

备注

5 pages, 3 figures included, to appear in Int. J. Mod. Phys. C