CRITICAL BEHAVIOR OF AN ISING-MODEL ON A CUBIC COMPRESSIBLE LATTICE
CRITICAL BEHAVIOR OF AN ISING-MODEL ON A CUBIC COMPRESSIBLE LATTICE
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DOI：
10.1103/physrevb.13.2145
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发表时间：
1976-01-01
影响因子：
3.7
通讯作者：
HALPERIN, BI
中科院分区：
文献类型：
--
作者：
BERGMAN, DJ;HALPERIN, BI
将重整化群方法应用于立方或各向同性对称弹性固体上类Ising系统的临界行为。除了dTcdV=0的特殊情况外，体积弹性模量的负值非常接近于Tc，因此恒压相变必须至少是弱一级的。在各向同性的情况下，如果可以避免晶体断裂，固体可以通过钉扎边界条件来稳定。然后可以观察到一个“费雪-重整化”临界点。相比之下，各向异性立方固体将发展出微观不稳定性，从而无论边界条件如何，都无法达到T_c。给出了这些影响的大小的估计，并与Baker-Essam模型和液体作为剪切模数为零的极限情况进行了接触。
Renormalization-group methods are applied to the critical behavior of an Ising-like system on an elastic solid of either cubic or isotropic symmetry. Except in the special case where d T c d V= 0, the bulk modulus is found to be negative very close to T c, so that the phase transition at constant pressure must be at least weakly first order. In the isotropic case the solid may be stabilized by pinned boundary conditions, if crystal fracture can be avoided. A" Fisher-renormalized" critical point can then be observed. By contrast, the anisotropic cubic solid will develop a microscopic instability so that T c cannot be reached, regardless of boundary conditions. Estimates of the size of these effects are given, and contact is made with the Baker-Essam model and a liquid, as limiting cases with a vanishing shear modulus.