论文标题
弹性介质的僵硬或软化：相变的异常弹性
Stiffening or softening of elastic media: Anomalous elasticity near phase transitions
论文作者
论文摘要
我们介绍了与热膨胀消失的各向同性弹性介质中ISIN转变的一般理论。 By constructing a minimal model with appropriate spin-lattice couplings, we show that in two dimensions near a continuous transition the elasticity is anomalous in unusual ways: the system either significantly stiffens with a hitherto unknown unique positional order logarithmically stronger than quasi-long range order, or, as the inversion-asymmetry of the order parameter in its coupling with strain increases, it destabilizes when system $ l $超过有限阈值。在三个维度上，更强的反转 - 质子对耦合会使所有$ L $的长期位置订单不稳定。足够强的阶参数置换耦合也可以在所有维度上转换一阶，这与整个过渡的弹性模量有限跳跃。我们的理论建立了{\ em一对一的对应关系}之间的相位阶段和过渡附近的异常弹性之间。
We present the general theory of Ising transitions in isotropic elastic media with vanishing thermal expansion. By constructing a minimal model with appropriate spin-lattice couplings, we show that in two dimensions near a continuous transition the elasticity is anomalous in unusual ways: the system either significantly stiffens with a hitherto unknown unique positional order logarithmically stronger than quasi-long range order, or, as the inversion-asymmetry of the order parameter in its coupling with strain increases, it destabilizes when system size $L$ exceeds a finite threshold. At three dimensions, stronger inversion-asymmetric couplings induce instability to the long-range positional order for all $L$. Sufficiently strong order parameter-displacement couplings can also turn the phase transition first order at all dimensions, concomitant with finite jumps in the elastic modulii across the transition. Our theory establishes a {\em one-to-one correspondence} between the order of the phase transitions and anomalous elasticity near the transitions.
