Zernike Institute for Advanced Materials, University of Groningen, 9747AG- Groningen, Netherlands.
Department of Materials Science and Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, USA.
Phys Rev Lett. 2019 Aug 23;123(8):087603. doi: 10.1103/PhysRevLett.123.087603.
Very sensitive responses to external forces are found near phase transitions. However, transition dynamics and preequilibrium phenomena are difficult to detect and control. We have observed that the equilibrium domain structure following a phase transition in ferroelectric and ferroelastic BaTiO_{3} is attained by halving of the domain periodicity multiple times. The process is reversible, with periodicity doubling as temperature is increased. This observation is reminiscent of the period-doubling cascades generally observed during bifurcation phenomena, and, thus, it conforms to the "spatial chaos" regime earlier proposed by Jensen and Bak [Phys. Scr. T 9, 64 (1985)PHSTER0281-184710.1088/0031-8949/1985/T9/009] for systems with competing spatial modulations.
在外力作用下，相变附近会出现非常敏感的反应。然而，相变动力学和预平衡现象很难被检测和控制。我们已经观察到，铁电和铁弹性 BaTiO_{3} 中的相变之后，通过多次将畴周期减半可以达到平衡畴结构。该过程是可逆的，随着温度的升高，周期性加倍。这一观察结果让人联想到分岔现象中通常观察到的倍周期分岔级联，因此，它符合 Jensen 和 Bak [Phys. Scr. T 9, 64 (1985)PHSTER0281-184710.1088/0031-8949/1985/T9/009] 早些时候提出的用于具有竞争空间调制的系统的“空间混沌”模式。
