Aggregation and intermediate phases in dilute spin systems
Aggregation and intermediate phases in dilute spin systems
复制标题
稀自旋系统中的聚集和中间相
DOI：
10.1007/bf02103776
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发表时间：
1995
影响因子：
2.4
通讯作者：
S. Shlosman
中科院分区：
文献类型：
--
作者：
L. Chayes;R. Kotecký;S. Shlosman
我们研究了各种稀释退火晶格自旋系统。对于具有多个内自旋态的位稀释问题，我们发现了一个新的相，其特征在于交错子晶格的占据和空位。在均匀系统具有低温相的情况下，交错状态表示中间相。此外，在许多这些情况下，我们表明，（至少部分）的相边界分离的低温和交错相是一条线的相共存，即过渡是一阶的。我们还研究了键稀释模型中的聚集（相分离）现象。这样的转变是众所周知的，平凡的，发生在大q波茨模型。然而，事实证明，在具有许多内部状态的键稀释自旋系统中，相分离是典型的。(In特别地，键聚集转变与均匀系统中的不连续转变无关。）沿着发生这些现象的相边界部分，费舍尔重整化效应的前景被认为是极不可能的或被完全排除。
We study a variety of dilute annealed lattice spin systems. For site diluted problems with many internal spin states, we uncover a new phase characterized by the occupation and vacancy of staggered sublattices. In cases where the uniform system has a low temperature phase, the staggered states represent an intermediate phase. Furthermore, in many of these cases, we show that (at least part of) the phase boundary separating the low-temperature and staggered phases is a line of phase coexistence-i.e. the transition is first order. We also study the phenomenon of aggregation (phase separation) in bond diluted models. Such transitions are known, trivially, to occur in the large-q Potts models. However, it turns out that phase separation is typical in bond diluted spin systems with many internal states. (In particular, a bond aggregation transition is not tied to a discontinuous transition in the uniform system.) Along the portions of the phase boundary where any of these phenomena occur, the prospects for a Fisher renormalization effect are deemed to be highly unlikely or are ruled out altogether.