THE INTERNAL ENERGY OF FERROELECTRIC DOMAIN-STRUCTURES CHARACTERIZED BY PRE-FRACTALS OF THE PENTAD CANTOR SETS

被引:18
作者
OZAKI, T
OHGAMI, J
机构
[1] Dept. of Mater. Sci., Hiroshima Univ.
关键词
D O I
10.1088/0953-8984/7/8/017
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The laminated ferroelectric 180 degrees domain structure optically observed in uniaxial ferroelectric KDP is periodic along the normal to the domain walls. Each half-period of the domain structure is characterized by the first four pre-fractals of the pentad Cantor sets. In order to investigate the thermodynamic stability of these pre-fractal domain structures, the electrostatic energy U-E(n) and the wall energy U-W(n) of the nth pre-fractal domain structure have been formulated as functions of the period in the framework of the Kittel theory. it is shown that under a constant period the electrostatic energy U-E(3) of the third pre-fractal domain structure takes the least value while the wall energy U-W(n) increases monotonically with increasing ordinal number n of the pre-fractal domain structure. The equilibrium half-period minimizing the internal energy including U-E(n) and U-W(n) is proportional to the square root of the thickness of a crystal plate. The equilibrium half-period increases monotonically with increasing ordinal number n of the pre-fractal domain structure. The equilibrium internal energy takes the least value in the zeroth pre-fractal domain structure and the second-least value in the second-prefractal domain structure. The ratio of the latter to the former is nearly equal to unity, with the value of 1.10.
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页码:1711 / 1720
页数:10
相关论文
共 9 条
[1]   X-RAY-SCATTERING FROM CRITICAL FLUCTUATIONS AND DOMAIN-WALLS IN KDP AND DKDP [J].
ANDREWS, SR ;
COWLEY, RA .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1986, 19 (04) :615-635
[2]   PHYSICAL THEORY OF FERROMAGNETIC DOMAINS [J].
KITTEL, C .
REVIEWS OF MODERN PHYSICS, 1949, 21 (04) :541-583
[3]  
Mandelbrot B. B, 1982, FRACTAL GEOMETRY NAT, V1, P170
[4]   DOMAIN STRUCTURE OF ROCHELLE SALT AND KH2PO4 [J].
MITSUI, T ;
FURUICHI, J .
PHYSICAL REVIEW, 1953, 90 (02) :193-202
[5]   ORIENTATIONS OF THE OPTICAL INDICATRICES OF KH2PO4 AND NH4H2PO4 IN THEIR LOW-TEMPERATURE PHASES [J].
OZAKI, T ;
FURUTA, K ;
NINOMIYA, M ;
YAMAZAKI, Y ;
YOSHIDA, T ;
NAKAMURA, E .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1990, 59 (06) :2251-2253
[6]   FRACTAL ASPECTS OF THE FERROELECTRIC DOMAIN-STRUCTURES IN KH2PO4 CRYSTAL [J].
OZAKI, T ;
SENJU, T ;
NAKAMURA, E .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1993, 62 (09) :3027-3030
[7]  
OZAKI T, 1995, IN PRESS FERROELECTR
[8]   SELF-SIMILARITY OF THE FERROELECTRIC DOMAIN STRUCTURES OPTICALLY OBSERVED IN ELECTRODED KDP CRYSTALS [J].
Ozaki, Toru ;
Kitamura, Takashi ;
Ohgami, Junji ;
Nakamura, Eiji .
FERROELECTRICS, 1994, 157 (01) :87-92
[9]  
PRIVOROTSKII IA, 1971, SOV PHYS JETP-USSR, V32, P964