• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Annales Henri Poincare >Contour Methods for Long-Range Ising Models: Weakening Nearest-Neighbor Interactions and Adding Decaying Fields
【24h】

Contour Methods for Long-Range Ising Models: Weakening Nearest-Neighbor Interactions and Adding Decaying Fields

机译：远程展示模型的轮廓方法：弱化最近邻的交互和添加腐朽字段

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

We consider ferromagnetic long- range Ising models which display phase transitions. They are one- dimensional Ising ferromagnets, in which the interaction is given by Jx, y = J(| x - y|) = 1 | x- y| 2- a with a. [ 0, 1), in particular, J(1) = 1. For this class of models, one way in which one can prove the phase transition is via a kind of Peierls contour argument, using the adaptation of the Fr spacing diaeresis ohlich- Spencer contours for a = 0, proposed by Cassandro, Ferrari, Merola and Presutti. As proved by Fr spacing diaeresis ohlich and Spencer for a = 0 and conjectured by Cassandro et al for the region they could treat, a. (0, a+) for a+ = log(3)/ log(2) - 1, although in the literature dealing with contour methods for these models it is generally assumed that J(1) 1, we will show that this condition can be removed in the contour analysis. In addition, combining our theorem with a recent result of Littin and Picco we prove the persistence of the contour proof of the phase transition for any a. [ 0, 1). Moreover, we show that when we add a magnetic field decaying to zero, given by hx = h* center dot (1+| x|) -. and. max{1- a, 1- a *} where a * 0.2714, the transition still persists.
机译：我们考虑展示阶段转换的铁磁长档型号。它们是一维依次的铁磁体，其中通过JX，Y = j（| x - y |）= 1 | x-y | 2- a with a。 [0,1），特别是j（1）= 1.对于这类模型，可以使用FR＆间距的调整来证明阶段转换的一种方法是通过一种peierls轮廓参数。虚无术＆ Ohlich-斯宾塞轮廓为A = 0，由Cassandro，Ferrari，Merola和Presutti提出。由FR＆间距和 Ohlich和Spencer for A = 0，并由Cassandro等人猜测他们可以治疗的地区，a。 （0，a +）对于a + = log（3）/ log（2） - 1，尽管在处理这些模型的轮廓方法的文献中，通常假设J（1）1，我们将显示这种情况可以是在轮廓分析中删除。此外，将定理与最近的Littin和Picco的结果相结合，我们证明了任何a的相位过渡的轮廓证明的持久性。 [0,1）。此外，我们表明，当我们将磁场衰减到零时，由Hx = H *中心点（1+ | x |）给出 - 。和。 ＆最大{1- a，1- a *}其中一个* 0.2714，过渡仍然存在。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号