STATISTICAL INTERPRETATION ON THE RELATIONSHIP BETWEEN THE VOLUMETRIC AND SECTIONAL SIZE DISTRIBUTIONS OF DISORDERED MESO-STRUCTURES

BAI YI-LONG; XIA MENG-FEN; KE FU-JIU; GUO WEN-HAI; LING ZHONG

doi:10.7498/aps.42.351

Abstract
In this paper the transformation between the volumetric and sectional size distribution of the disordered meso-structures is studied. An integral equation governing this transformation for the cases of spheres or parallel penny shaped cracks is derived. The statistical interpretation on the transformation equation is emphasized. Furthermore, the transformations for moments of distribution function and for fractal dimension are discussed.
Authors and contacts
BAI YI-LONG³,

XIA MENG-FEN¹,

KE FU-JIU²,

GUO WEN-HAI³,

LING ZHONG³

(1)北京大学物理系,北京大学非线性科学中心,北京100871; (2)北京航空航天大学应用数理系,北京100083; (3)中国科学院力学研究所非线性连续介质力学开放实验室,北京100080
References

Cited By

[1]	Wang Kai-Yu, Pang Xiang-Long, Li Xiao-Guang. Oscillation properties of water droplets on a superhydrophobic surface and their correlations with droplet volume. Acta Physica Sinica, 2021, 70(7): 076801. doi: 10.7498/aps.70.20201771
[2]	Lin Nai-Bo, Lin You-Hui, Huang Qiao-Ling, Liu Xiang-Yang. Supramolecular gels and mesoscopic structure. Acta Physica Sinica, 2016, 65(17): 174702. doi: 10.7498/aps.65.174702
[3]	Liu Hai-Xia, Chen Ke, Hou Mei-Ying. Boson peaks in doped colloid glasses. Acta Physica Sinica, 2015, 64(11): 116302. doi: 10.7498/aps.64.116302
[4]	Liang Xiu-Dong, Tai Yun-Jiao, Cheng Jian-Min, Zhai Long-Hua, Xu Ye-Jun. Transform relations between squeezed coherent state representation and quantum phase space distribution functions. Acta Physica Sinica, 2015, 64(2): 024207. doi: 10.7498/aps.64.024207
[5]	Kong Wei-Shu, Hu Lin, Zhang Xing-Gang, Yue Guo-Lian. Experimental studdy on relation between volume fraction of sandpiles and flow rate of forming sandpiles. Acta Physica Sinica, 2010, 59(1): 411-416. doi: 10.7498/aps.59.411
[6]	Liu Yan-Zhu. Planar vibration of a thin elastic rod with circular cross section in viscous medium. Acta Physica Sinica, 2005, 54(11): 4989-4993. doi: 10.7498/aps.54.4989
[7]	Liu Fu-De, Ling Zhi-Yuan, Xiong Mao-Ren. . Acta Physica Sinica, 1995, 44(8): 1302-1309. doi: 10.7498/aps.44.1302
[8]	Shao Qi-Jun, Pan Zheng-Ying. . Acta Physica Sinica, 1995, 44(3): 479-487. doi: 10.7498/aps.44.479
[9]	CAO PEI-LIN, ZHOU XU-YAN, ZHOU RU-HONG. INTERACTION BETWEEN Li ATOMS ON Si(100)2×1 AND PHASE CHANGE OF SURFACE STRUCTURE. Acta Physica Sinica, 1993, 42(7): 1116-1120. doi: 10.7498/aps.42.1116
[10]	XU HUI, ZENG HONG-TAO. DISTRIBUTION OF ELECTRONIC LOCALISATION IN THE DISORDERED SYSTEM. Acta Physica Sinica, 1992, 41(10): 1666-1671. doi: 10.7498/aps.41.1666
[11]	YANG ZONG-XIAN, ZHANG TAO. CO AND O CHEMISORPTION ON DISORDERED BINARY ALLOY NiCu. Acta Physica Sinica, 1991, 40(2): 269-274. doi: 10.7498/aps.40.269
[12]	LIU ZHENG-DONG, LIU SAN-QIU. SQUEEZING AND PHOTON STATISTICS. Acta Physica Sinica, 1991, 40(8): 1263-1268. doi: 10.7498/aps.40.1263
[13]	Cao Pei-lin Zhou Xu-yan Zhou Ru-hong. INTERACTION BETWEEN Li ATOMS ON Si(100)2×1 AND PHASE CHANGE OF SURFACE STRUCTURE. Acta Physica Sinica, 1991, 40(7): 1116-1120. doi: 10.7498/aps.40.1116
[14]	HUANG YI-SEN, ZHAO QING-LAN. A STUDY OF FORMATION OF CHARACTERISTIC LAYERED INCLUSION IN THE CRYSTAL OF RUBIDIUM ACID PHTHALATE AND THEIR RELATIONSHIP WITH THE STRUCTURE. Acta Physica Sinica, 1990, 39(8): 78-83. doi: 10.7498/aps.39.78
[15]	WEI HUA. STRUCTURE CONSTANTS OF QUANTUM ALGEBRA AND YANG-BAXTER RELATION FOR THE Zn-SYMMETRIC STATISTICAL MODEL. Acta Physica Sinica, 1990, 39(9): 1357-1362. doi: 10.7498/aps.39.1357
[16]	HU NING-HAI, LIU YONG-SHENG, ZHOU QING-LIAN, GUO DONG-YAO. THE APPLICATION OF ∑ RELATIONSHIP LINEAR THEORY (Ⅰ)——THE USE OF ∑4, RELATIONSHIP IN CRYSTAL STRUCTURE DETERMINATION. Acta Physica Sinica, 1987, 36(2): 131-139. doi: 10.7498/aps.36.131
[17]	XING YI-RONG, W. RANKE. ORIENTATION DEPENDENCE OF OXYGEN ADSORPTION ON SILICON SURFACES. Acta Physica Sinica, 1986, 35(1): 110-114. doi: 10.7498/aps.35.110
[18]	ZHANG JIA-LU. ON THE STATISTICAL RELATION BETWEEN THE SYLLABLE ARTICULATION AND THE PHONEME ARTICULATION. Acta Physica Sinica, 1974, 23(5): 17-22. doi: 10.7498/aps.23.17-2
[19]	. ЭМПИЕРИЧЕСКАЯ СВЯЗЬ МЕЖДУ ИНТЕНСИВНОСТЯМИ ДИФРАКЦИИ ЭЛЕКТРОНОВ И СТРУКТУРНЫМИ АМПИТУДАМИ И ЕЁ ПРИМЕНЕНИЕ В СТРУКТУРНОМ АНАЛИЗЕ. Acta Physica Sinica, 1963, 19(11): 735-740. doi: 10.7498/aps.19.735
[20]	CHENG KAI-CHIA. AN ANALYTICAL METHOD OF SOLUTION OF THE DISTRIBUTION FUNCTION OF CRYSTAL SIZES IN A VOLUME. Acta Physica Sinica, 1957, 13(1): 58-68. doi: 10.7498/aps.13.58

Catalog

Vol. 42, Issue 3 - 1993-02-05

Metrics

Abstract views: 6653
PDF Downloads: 666
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

STATISTICAL INTERPRETATION ON THE RELATIONSHIP BETWEEN THE VOLUMETRIC AND SECTIONAL SIZE DISTRIBUTIONS OF DISORDERED MESO-STRUCTURES

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

STATISTICAL INTERPRETATION ON THE RELATIONSHIP BETWEEN THE VOLUMETRIC AND SECTIONAL SIZE DISTRIBUTIONS OF DISORDERED MESO-STRUCTURES

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About