Critical volume fraction and size for a colloidal cluster to nucleate

doi:10.1088/1674-1056/19/12/128203

中国物理B ›› 2010, Vol. 19 ›› Issue (12): 128203-128203.doi: 10.1088/1674-1056/19/12/128203

Critical volume fraction and size for a colloidal cluster to nucleate

赵丹丹, 龙联丰, 肖长明

Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha 410081, China;Department of Physics, Hunan Normal University, Changsha 410081, China

收稿日期:2010-01-06 修回日期:2010-07-04 出版日期:2010-12-15 发布日期:2010-12-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10375024 and 10775018), the Science Foundation of Hunan Educational Committee of China (Grant Nos. 08B028 and 06B057), and the Natural Science Foundation of Hunan Province of China (Grant No. 08jj6043).

Critical volume fraction and size for a colloidal cluster to nucleate

Zhao Dan-Dan(赵丹丹)^a)b), Long Lian-Feng(龙联丰)^a)b), and Xiao Chang-Ming(肖长明)^a)b)†

^aKey Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha 410081, China; ^b Department of Physics, Hunan Normal University, Changsha 410081, China

Received:2010-01-06 Revised:2010-07-04 Online:2010-12-15 Published:2010-12-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10375024 and 10775018), the Science Foundation of Hunan Educational Committee of China (Grant Nos. 08B028 and 06B057), and the Natural Science Foundation of Hunan Province of China (Grant No. 08jj6043).

摘要/Abstract

摘要： With the aid of the critical size of colloidal cluster, the critical volume fraction of phase transition of colloidal system is determined by the principle of entropy maximum and Carnahan–Starling (CS) state equation in this paper. In our discussion, no parameter is introduced externally, and our results are in good agreement with the experimental results.

Abstract: With the aid of the critical size of colloidal cluster, the critical volume fraction of phase transition of colloidal system is determined by the principle of entropy maximum and Carnahan–Starling (CS) state equation in this paper. In our discussion, no parameter is introduced externally, and our results are in good agreement with the experimental results.

Key words: depletion interaction, nucleation packing, cluster

中图分类号:

64.70.K-

65.40.G- (Other thermodynamical quantities) 81.30.Hd (Constant-composition solid-solid phase transformations: polymorphic, massive, and order-disorder) 82.70.Dd (Colloids)

赵丹丹, 龙联丰, 肖长明. Critical volume fraction and size for a colloidal cluster to nucleate[J]. 中国物理B, 2010, 19(12): 128203-128203.

Zhao Dan-Dan(赵丹丹), Long Lian-Feng(龙联丰), and Xiao Chang-Ming(肖长明). Critical volume fraction and size for a colloidal cluster to nucleate[J]. Chin. Phys. B, 2010, 19(12): 128203-128203.

参考文献 15

[1]	Asakura S and Oosawa F 1954 J. Chem. Phys. 22 1255
[2]	Vrij A 1976 Pure Appl. Chem. 48 471
[3]	Puesy P N and Megen W 1986 Nature 320 340
[4]	Xiao C M, Jin G J and Ma Y Q 2001 Chin. Phys. Lett. 18 950
[5]	Xiao C M, Jin G J, Shi X D and Ma Y Q 2001 Phys. Rev. E 64 011402
[6]	Xiao C M and Jonathan Wylie 2006 Phys. Lett. A 357 245
[7]	Mansoori G A, Carnahan N F, Starling K E and Leland T W 1971 J. Chem. Phys. 54 1523
[8]	Umar I H, Yokoyama I and Young W H 1976 Philos. Mag. 34 535
[9]	Castaneda-Priego R, Rodr'higuez-López A and Méndez-Alcaraz J M 2006 Phys. Rev. E 73 051404
[10]	Guo J Y, Huang L X and Xiao C M 2006 Chin. Phys. 15 1638
[11]	Liu L, Xu S H, Liu J, Duan L, Sun Z W, Liu R X and Dong P 2006 Acta Phys. Sin. 55 6168 (in Chinese)
[12]	Liu L, Xu S H, Sun Z W, Duan L, Xie J C and Lin H 2008 Acta Phys. Sin. 57 7367 (in Chinese)
[13]	Huang L X, Gao H X and Xiao C M 2009 Acta Phys. Sin. 58 5864 (in Chinese)
[14]	Dinsmore A D, Yodh A G and Pine D J 1995 Phys. Rev. E 52 4045
[15]	Zhou S 2006 Phys. Rev. E 74 011402

Critical volume fraction and size for a colloidal cluster to nucleate

Critical volume fraction and size for a colloidal cluster to nucleate

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