Fractality and dielectric spectra of ferroic materials

被引:8
作者
Galiyarova, NM [1 ]
Gorin, SV [1 ]
Dontsova, LI [1 ]
机构
[1] Volgograd State Architectural & Engn Acad, Volgograd 400074, Russia
关键词
ferroelectrics; dielectric spectroscopy; irreversible thermodynamics; critical phenomena; domains; fractals; fractal dimensionalities;
D O I
10.1007/s100190050122
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The character of low-infralow-frequency dielectric spectra of ferroelectrics and related materials! their transformation with temperature, electric field and aging time, the temperature dependencies of relaxation times at phase and structural transitions are evidence of their fractality. The analysis of optical microscope research brought to light the fractal features of domain boundaries and their temporal evolution. The kinetic equations modified by introducing of the fractional derivatives, percolation and fractal models describe the preponderance of the dielectric spectra and explain the critical slowdown of relaxation. The fractal dimensionalities evaluated by experiments and their change at phase transitions have being discussed in comparison with the percolation models and the dynamic scaling theory.
引用
收藏
页码:30 / 41
页数:10
相关论文
共 81 条
[51]  
KUBAREV YG, 1993, IZV AKAD NAUK FIZ+, V57, P129
[52]  
Ma S-K., 2018, Modern theory of critical phenomena
[53]  
Mandelbrot B., 1977, Fractals: Form, Chance and Dimension
[54]  
Mandelbrot B.B., 1983, The fractal geometry of nature
[55]   FRACTIONAL BROWNIAN MOTIONS FRACTIONAL NOISES AND APPLICATIONS [J].
MANDELBROT, BB ;
VANNESS, JW .
SIAM REVIEW, 1968, 10 (04) :422-+
[57]  
Moon F.C., 1992, CHAOTIC FRACTAL DYNA
[58]   AN APPLICATION OF THE FRACTAL CONCEPT TO CONDENSED MATTER PHYSICS [J].
OLEMSKOI, AI ;
FLAT, AY .
USPEKHI FIZICHESKIKH NAUK, 1993, 163 (12) :1-50
[59]  
OZAKI T, 1995, FERROELECTRICS, V172, P96
[60]  
PATASHINSKI AZ, 1982, FLUKTUATSIONNAYA TEO