Estevez-Rams Ernesto, Lora-Serrano Raimundo, Penton-Madrigal Arbelio, Nespolo Massimo
Facultad de Física - Instituto de Ciencia y Tecnología de Materiales (IMRE), Universidad de la Habana, San Lazaro y L. CP 10400 C., Habana, Cuba.
Instituto de Física, Universidade Federal de Uberlândia, Uberlândia 38400-902, Minas Gerais, Brazil.
Acta Crystallogr A Found Adv. 2017 Nov 1;73(Pt 6):449-459. doi: 10.1107/S2053273317013134. Epub 2017 Oct 17.
Extrinsic faulting has been discussed previously within the so-called difference method and random walk calculation. In this contribution it is revisited under the framework of computational mechanics, which allows expressions to be derived for the statistical complexity, entropy density and excess entropy as a function of faulting probability. The approach allows one to compare the disordering process of an extrinsic fault with other faulting types. The ℇ-machine description of the faulting mechanics is presented. Several useful analytical expressions such as probability of consecutive symbols in the Hägg coding are presented, as well as hexagonality. The analytical expression for the pairwise correlation function of the layers is derived and compared with results previously reported. The effect of faulting on the interference function is discussed in relation to the diffraction pattern.
外在断层作用先前已在所谓的差分法和随机游走计算中进行过讨论。在本论文中，我们在计算力学框架下重新审视了这一问题，该框架允许推导统计复杂性、熵密度和过剩熵随断层概率变化的表达式。这种方法能够将外在断层的无序过程与其他断层类型进行比较。文中给出了断层作用力学的ℇ机描述。还给出了一些有用的解析表达式，如哈格编码中连续符号的概率以及六边形度。推导了层间成对相关函数的解析表达式，并与先前报道的结果进行了比较。结合衍射图样讨论了断层作用对干涉函数的影响。
